Interval-valued degrees of belief: Applications of interval computations to expert systems and intelligent control

International Journal of Uncertainty, Fuzziness and Knowldege-Based Systems

Volumn 5, Issue 3, 1997, Pages 317-358

  Nguyen, Hung T ^a,d   Kreinovich, Vladik ^b   Zuo, Qiang ^c  

^a NEW MEXICO STATE UNIVERSITY   (United States)

^b University of Texas at El Paso   (United States)

^c UNIVERSITY OF TEXAS AT EL PASO   (United States)

^d UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

Expert systems; Intelligent Control; Interval valued degrees of belief

Indexed keywords

EID: 2442483398     PISSN: 02184885     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218488597000257     Document Type: Article

References (286)

1. C. Alsina, E. Trillas, and L. Valverde, "On non-distributive logical connectives for fuzzy set theory", Busefal 3 (1980), 18-29.
2. T. Arnould and S. Tano, "Interval-valued fuzzy backward reasoning", IEEE Transactions on Fuzzy Systems 3 (1995) No. 4, 425-437.
3. O. Artbauer, "Application of interval, statistical, and fuzzy methods to the evaluation of measurements", Metrologia 25 (1988) 81-86.
4. K. T. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems 20 (1986) No. 1, 87-96.
5. K. T. Atanassov, Review and new results on intuitionistic fuzzy sets, Preprint IM-MFAIS-1-88, Sofia, Bulgaria, 1988.
6. K. T. Atanassov, Four new operators on intuitionistic fuzzy sets, Preprint IM-MFAIS-4-89, Sofia, Bulgaria, 1989.
7. K. T. Atanassov, "More on intuitionistic fuzzy sets", Fuzzy Sets and Systems 33 (1989) No. 1, 37-45.
8. K. T. Atanassov, "New operations defined over the intuitionistic fuzzy sets", Fuzzy Sets and Systems 61 (1993) No. 2, 131-142.
9. K. T. Atanassov, "A universal operator over intuitionistic fuzzy sets", Compt. Rend. Acad. Bulg. Sci. 46 (1993) No. 1, 13-15.
10. K. T. Atanassov, "Level operators on intuitionistic fuzzy sets", BUSEFAL 54 (1993) 4-8.
11. K. T. Atanassov, "Operations over interval valued intuitionistic fuzzy sets", Fuzzy Sets and Systems 64 (1994) 159-174.
12. K. T. Atanassov, Editor-in-Chief, Notes on Intuitionistic Fuzzy Sets (NIFS), International Journal, 1995-.
13. K. T. Atanassov and G. Gargov, "Interval valued intuitionistic fuzzy sets", Fuzzy Sets and Systems 31 (1989) No. 3, 343-349.
14. J. F. Baldwin, "Evidential support logic programming", Fuzzy Sets and Systems 24 (1987) 1-26.
15. W. Bandler and L. J. Kohout. "Fuzzy relational products and fuzzy implication operators," In International Workshop on Fuzzy Reasoning Theory and Applications, London, September 1978 (Queen Mary College, University of London).
16. W. Bandler and L. J. Kohout. "Fuzzy power sets and fuzzy implication operators," Fuzzy Sets and Systems 4 (1980) 13-30. Reprinted in: Readings in Fuzzy Sets for Intelligent Systems, D. Dubois, H. Prade and R. Yager (eds.) (Morgan Kaufman Publishers, San Mateo, CA, 1994).
17. W. Bandler and L. J. Kohout. "Fuzzy power sets and fuzzy implication operators," Fuzzy Sets and Systems 4 (1980) 13-30. Reprinted in: Readings in Fuzzy Sets for Intelligent Systems, D. Dubois, H. Prade and R. Yager (eds.) (Morgan Kaufman Publishers, San Mateo, CA, 1994).
18. W. Bandler and L. J. Kohout. "Fuzzy relational products as a tool for analysis and synthesis of the behaviour of complex natural and artificial systems," In: P. P. Wang and S. K. Chang, editors, Fuzzy Sets: Theory and Applications to Policy Analysis and Information Systems (Plenum, New York and London, 1980) 341-367.
19. W. Bandler and L. J. Kohout, "Semantics of implication operators and fuzzy relational products," Internat. Journal of Man-Machine Studies 12 (1980) 89-116. Reprinted in: E. H. Mamdani and B. R. Gaines, eds. Fuzzy Reasoning and its Applications (Academic Press, London, 1981) 219-246.
20. W. Bandler and L. J. Kohout, "Semantics of implication operators and fuzzy relational products," Internat. Journal of Man-Machine Studies 12 (1980) 89-116. Reprinted in: E. H. Mamdani and B. R. Gaines, eds. Fuzzy Reasoning and its Applications (Academic Press, London, 1981) 219-246.
21. W. Bandler and L. J. Kohout, "Probabilistic vs. fuzzy production rules in expert systems", BUSEFAL (France) 14 (1983) 105-114.
22. W. Bandler and L. J. Kohout. Unified theory of multiple-valued logical operators in the light of the checklist paradigm, In: Proc. of the 1984 IEEE Conference on Systems, Man and Cybernetics, Halifax, Nova Scotia, Oct. 1984 (IEEE, N.Y., 1984) 356-364.
23. W. Bandler and L. J. Kohout. "A survey of fuzzy relational products in their applicability to medicine and clinical psychology", in: L. J. Kohout and W. Bandler, editors, Knowledge Representation in Medicine and Clinical Behavioural Science, an Abacus Book (Gordon and Breach Publ., London and New York, 1986) 107-118.
24. W. Bandler and L. J. Kohout. "The use of checklist paradigm in inference systems," Chapter 7 In: C. V. Negoita and H. Prade, editors, Fuzzy Logic in Knowledge Engineering, chapter 7 (Verlag TÜV Rheinland, Köln, 1986) 95-111.
25. W. Bandler and L. J. Kohout. "Fuzzy implication operators," In: M. G. Singh, editor, Systems and Control Encyclopedia (Pergamon Press, Oxford, 1987) 1806-1810.
26. W. Bandler and L. J. Kohout. "Relations, mathematical," In: M. G. Singh, editor, Systems and Control Encyclopedia (Pergamon Press, Oxford, 1987) 4000-4008.
27. R. E. Bellman and L. A. Zadeh, "Decision-making in a fuzzy environment," Management Sci. 17 (1970) B141-B164.
28. B. Ben-Ahmeida, L. J. Kohout, and W. Bandler. "The use of fuzzy relational products in comparison and verification of correctness of knowledge structures", In: L. J. Kohout, J. Anderson, and W. Bandler, editors, Knowledge-Based Systems for Multiple Environments, Chapter 16 (Ashgate Publ. (Gower), Aldershot, U.K., 1992).
29. J. O. Berger, Statistical Decision Theory and Bayesian Analysis (Springer-Verlag, N.Y., 1985).
30. U. Bergsten, J. Schubert, and P. Swennson, "Beslutsstödssystemet Dezzy - En Översikt", In: Dokumentation 7 juni av Seminarium och fackutställning om samband, sensorer och datorer för legningssystem till försvaret, MILINF 89, Försvarets materielverk, Enköping, July 5-9, 1989, Telub AB, Växjö, 1989, 07B2:19-07B2:31, FOA Report B 20078-2.7 (Department of Weapon Systems, Effects and Protection, National Defence Research Establishment, Stockholm, Sweden, 1990).
31. U. Bergsten, J. Schubert, and P. Swennson, "Dezzy - ett Demonstrationssystem for Analys av Ubatsunderrättelser", In J. Schubert (ed.), Delprojekt Informationssytems inom Huvudprojekt Ubatsskydd - Slutparrort, FOA Report A 20046-2.7 (Department of Weapon Systems, Effects and Protection, National Defence Research Establishment, Stockholm, Sweden, 1990).
32. U. Bergsten and J. Schubert, "Dempster's rule for evidence ordered in a complete directed acyclic graph", Int. J. Approx. Reasoning 9 (1993) No. 1, 37-73.
33. A. Bernat, L. Cortes, V. Kreinovich, K. Villaverde, "Intelligent parallel simulation - a key to intractable problems of information processing." Proceedings of the Twenty-Third Annual Pittsburgh Conference on Modelling and Simulation (Pittsburgh, PA, 1992) Part 2, 959-969.
34. A. Bernat, E. Villa, K. Bhamidipati, V. Kreinovich, "Parallel interval computations as a background problem: when processors come and go", International Conference on Interval and Computer-Algebraic Methods in Science and Engineering (Interval'94) (St. Petersburg, Russia, March 7-10, 1994) Abstracts, 51-53.
35. K. Bhamidipati, "PVM estimates errors caused by imprecise data", In: Proceedings of the 1994 PVM Users' Group Meeting, Oak Ridge, TN, May 19-20, Center for Research on Parallel Computations, Session 2A, 1994.
36. T. Bilgic and I. B. Turksen, "Interval valued fuzzy sets from continuous Archimedean triangular norms", Proceedings of the Third IEEE Conference on Fuzzy Systems (Orlando, FL, June 26-29, 1994) Vol. II, 1142-1147.
37. D. I. Blockley, "Logical inference from uncertain knowledge in civil engineering", In: B. H. V. Topping (ed.), Proceedings of the Second International Conference on Civil and Structural Engineering Computing (Civil-Comp Press, Edinburgh, Scotland, 1985) 185-188.
38. 101, 177-179.
39. E. Borel, Les Probabilitès at la Vie (Pr. Universitaires de France, 1943). Engl. translation Probability and Life (Dover, N.Y., 1962).
40. E. Borel, Les Probabilitès at la Vie (Pr. Universitaires de France, 1943). Engl. translation Probability and Life (Dover, N.Y., 1962).
41. L. Botusharov, "Applicability of the intuitionistic fuzzy set approach to musical language", Notes on Intuitionistic Fuzzy Sets 1 (1995) No. 1, 77-78.
42. G. E. P. Box and G. C. Tiao, Bayesian Inference in Statistical Analysis (Addison-Wesley, Reading, MA, 1973).
43. B. G. Buchanan and E. H. Shortliffe. Rule-based expert systems. The MYCIN experiments of the Stanford Heuristic Programming Project (Addison-Wesley, Reading, MA, Menlo Park, CA, 1984).
44. 101, 73-77.
45. J. J. Buckley and D. M. Tucker, "Second generation fuzzy expert systems", Fuzzy Sets and Systems 31 (1989).
46. D. J. Buehrer, "From interval probability theory to computable fuzzy first-order logic and beyond", Proceedings of the Third IEEE Conference on Fuzzy Systems (Orlando, FL, June 26-29, 1994) Vol. II, 1428-1433.
47. A. Burusco and R. Fuentes-Gonzalez, "Concept lattices associated with interval-valued L-fuzzy contexts", Notes on Intuitionistic Fuzzy Sets 1 (1995) No. 2, 104-115.
48. G. Cattaneo, M. L. dalla Chiara, and R. Giuntini, "Fuzzy intuitionistic quantum logics", Studia Logica 52 (1993) 419-442.
49. D. Chakarska and L. Antonov, "Application of intuitionistic fuzzy set in plant tissue culture and in vitro selection", Notes on Intuitionistic Fuzzy Sets 1 (1995) No. 1, 70-73.
50. L. Chee, Computing the Value of a Boolean expression with intervals is NP-hard, Master Thesis, Computer Science Dept., Univ. of Texas at El Paso, 1996.
51. L. Chee, "Computing the Value of a Boolean expression with intervals is NP-hard", Reliable Computing 3 (1997) No. 2, to appear.
52. B. Cloteaux, C. Eick, V. Kreinovich, and B. Bouchon-Meunier, From Ordered Beliefs to Numbers: How to Elicit Numbers Without Asking for Them (Doable but Computationally Difficult), Université Paris VI et VII, Institut Biaise Pascal, Laboratoire Formes et Intelligence Artificielle LAFORIA, Technical Report 96/20, June 1996.
53. 101, 175-176.
54. L. J. Cohen, The Provable and the Probable (Claredon Press, Oxford, 1977).
55. 101, 398-399.
56. L. A. Cortes, How to design an expert system that for a given query Q, computes the interval of possible values of probability p(Q) that Q is true, In: Abstracts for a Workshop on Interval Methods in Artificial Intelligence, International Conference on Numerical Analysis with Automatic Result Verification: Mathematics, Application and Software, February 25 - March 1, 1993, (Lafayette, LA, 1993) 11.
57. L. A. Cortes, Calculating belief probabilities and intervals, Master Thesis (Department of Computer Science, University of Texas at El Paso, May 1994).
58. W. Cui and D. I. Blockley, "Interval probability theory of evidential support", International Journal of Intelligent Systems 5 (1990) 183-192.
59. A. P. Dempster, "Upper and lower probabilities induced by a multivalued mapping", Ann. Math. Stat. 38 (1967) 325-339.
60. L. DeRobertis and J. A. Hartigan, "Bayesian inference using intervals and measures", Ann. Statist. 9 (1981) 235-244.
61. J. M. Dickey, "Beliefs about beliefs, a theory of stochastic assessments of subjective probabilities" (with discussion), In: J. M. Bernardo et al. (eds.), Bayesian Statistics 1, 1980, 471-487, 504-519.
62. D. Driankov, "A calculus for belief-intervals representation of uncertainty", In: B. Bouchon and R. R. Yager (eds.), Uncertainty in Knowledge-Based Systems, Lecture Notes in Computer Science, Vol. 286 (Springer Verlag, Berlin, 1987) 205-216.
63. D. Driankov, "A many valued logic of belief: detachment operators", In: B. Bouchon, L. Saitta, and R. R. Yager (eds.), Uncertainty and Intelligent Systems (Springer Verlag, Berlin, 1988) 265-272.
64. D. Dubois, H. Prade, Fuzzy Sets and Systems: Theory and Applications (Academic Press, N.Y., London, 1980).
65. D. Dubois and H. Prade, "On several representations of an uncertain body of evidence", In: M. M. Gupta and E. Sanchez (eds.), Fuzzy information and decision processes (North Holland, Amsterdam, 1982) 167-181.
66. D. Dubois and H. Prade, Possibility theory: an approach to computerized processing of uncertainty (Plenum, N.Y., 1986).
67. D. Dubois and H. Prade, "Non-standard theories of uncertainty in knowledge representation and reasoning", In: J. Doyle, E. Sandewall, and P. Torasso (eds.), Proc. 4th Intl Conference on Principles of Knowledge Representation and Reasoning, Bonn, Germany, May 24-27, 1994 (Morgan Kaufmann, San Francisco, CA, 1994) 634-645.
68. C. F. Eick and N. N. Mehta, "Decision blocks - a tool for rule-based decision making involving imperfect knowledge", IEEE Transactions on Systems, Man, and Cybernetics (June 1993).
69. H. J. Einhorn and R. M. Hogarth, "Ambiguity and uncertainty in probabilistic inference", Psychol. Rev. 92 (1985) 433-461.
70. H. J. Einhorn and R. M. Hogarth, "Decision making under ambiguity", J. Business 59 (1986) S225-S250.
71. P. O. Ekelöf, Rättengang IV (Stockholm, 1982).
72. C. F. Erick, "Uncertainty management for fuzzy decision support systems", Proceedings of the 4th Workshop on Uncertainty in AI (1988) 98-108.
73. W. Fellner, "Distribution of subjective probabilities as a response to uncertainty", Quart. J. Econ. 75 (1961) 670-689.
74. W. Fellner, Probability and Profit (Irwin, Homewood, IL, 1965).
75. K. W. Fertig and J. S. Breese, "Interval influence diagrams", In: M. Henrion, R. D. Schachter, L. N. Kanal, and J. F. Lemmer (eds.), Uncertainty in Artificial Intelligence, Vol. 5 (North-Holland, Amsterdam, 1990) 149-161.
76. K. W. Fertig and J. S. Breese, "Probability intervals over influence diagrams", IEEE Transactions on Pattern Analysis and Machine Intelligence 15 (1993) No. 3, 220-232.
77. P. Fishburn, Decision and Value Theory (Wiley, N.Y., 1964).
78. P. Fishburn, "An interval graph is not a comparability graph", Journal of Combinatorial Theory 8 (1970) 442-443.
79. P. Fishburn, Interval orders and interval graphs (Wiley, N.Y., 1985).
80. A. A. Gaganov, "Computational complexity of the range of the polynomial in several variables", Cybernetics, 1985, 418-421.
81. Somg Gao, Design and implementation of diagnostic unit of medical knowledge-based system Clinaid, Thesis (Dept. of Computer Science, Brunei University, U.K., 1986).
82. E. Gardeñes, A. Trepat, J. M. Janer, "Approaches to simulation and to the linear problem in SIGLA system", Freiburger Intervall-Berichte, 1981, No. 81/8.
83. 81, 44-57.
84. P. Gardenfors, B. Hansson, and N. Sakhlin (eds.), Evidentiary value: philosophical, judicial, and psychological aspects of a theory (C. W. K. Gleerups, Lund, Sweden, 1983).
85. P. Gardenfors and N. Sahlin, "Unreliable probabilities, risk-taking, and decision making", Synthese 53 (1982) 361-386.
86. P. Gardenfors and N. Sahlin, "Decision making with unreliable probabilities", Brit. J. Math. Statist. Psychol. 36 (1983) 240-251.
87. M. Garey and D. Johnson, Computers and intractability: a guide to the theory of NP-completeness (Freeman, San Francisco, 1979).
88. G. K. Gargov and K. T. Atanassov, "Two results in intuitionistic fuzzy logic", C. R. Acad. Bulgare Sci. 45 (1992) No. 12, 29-31.
89. Wen-Lung Gau and D. J. Buehrer, "Vague sets", IEEE Transactions on Systems, Man, and Cybernetics 23 (1993) No. 2, 610-614.
90. M. Gehrke, C. Walker, and E. Walker, "Some comments on interval-valued fuzzy sets", International Journal of Intelligent Systems 11 (1996) No. 10, 751-760.
91. 101, 182-186.
92. R. Giles, "Lukasiewicz logic and fuzzy set theory", Internat. J. Man-Machine Stud. 8 (1976) 313-327.
93. I. J. Good, Probability and the Weighing of Evidence (Griffin, London, 1950).
94. 97).
95. I. J. Good, "Subjective probability as a measure of a non-measurable set", In: E. Nagel, P. Suppes, and A. Tarski (eds.), Logoc, methodology, and philosophy of science (University of California Press, 1962) 319-329.
96. I. J. Good, "How rational should a manager be?", Management Sci. 8 (1962) 383-393.
97. I. J. Good, The Estimation of Probabilities (MIT Press, Cambridge, MA, 1965).
98. 97.
99. 97).
100. I. J. Good, Good Thinking (University of Minnesota Press, Minneapolis, Minnesota, 1983).
101. M. Gorzalczany, "Interval-valued fuzzy inference method - some basic properties", Fuzzy Sets and Systems 31 (1989) No. 2, 243-251.
102. B. N. Grosof, "An inequality paradigm for probabilistic knowledge. The logic of conditional probability intervals", In: L. N. Kanal and J. F. Lemmer, Uncertainty in Artificial Intelligence (Elsevier, North Holland, 1986) 259-275.
103. B. Guguljanova, "The intuitionistic fuzzy set approach in the psychological research", Notes on Intuitionistic Fuzzy Sets 1 (1995) No. 1, 74-76.
104. L. Hall, H. Ying, R. Langari, and J. Yen (eds.), NAFIPS/IFIS/NASA '94, Proceedings of the First International Joint Conference of The North American Fuzzy Information Processing Society Biannual Conference, The Industrial Fuzzy Control and Intelligent Systems Conference, and The NASA Joint Technology Workshop on Neural Networks and Fuzzy Logic, San Antonio, December 18-21, 1994 (IEEE, Piscataway, NJ).
105. R. M. Hogarth and H. Kunreuther, "Ambiguity and insurance decisions", Amer. Economic Rev. 75 (1985) 386-390.
106. L. Hurwicz, A criterion for decision-making under uncertainty, Technical Report 355 (Cowles Commission, 1952).
107. J. Y. Jaffray, "Linear utility theory for belief functions", Op. Res. Letters 8 (1989) 107-112.
108. J. Y. Jaffray, "Linear utility theory and belief functions: a discussion", In: A. Chickan (ed.), Proc. of FUR IV Conference (Dordrecht, Kluwer, 1991).
109. J. Y. Jaffray, "Dynamic decision making with belief functions", In: R. R. Yager, J. Kacprzyk, and M. Pedrizzi (Eds.), Advances in the Dempster-Shafer Theory of Evidence (Wiley, N.Y., 1994) 331-352.
110. K.-U. von Jahn, "Min-Max-Intervallrechnung", Math. Nachr. 71 (1976) 276-272.
111. 101, 470-473.
112. A. Kandel, G. Langholtz (Editors), Fuzzy Control Systems (CRC Press, Boca Raton, FL, 1994).
113. V. Kaliappan, L. J. Kohout, and J. Anderson. "Design of a well-protected patient record unit for multi-centre knowledge-based system Clinaid," In: K.-P. Adlasnik, G. Grabner, S. Bengtsson, and R. Hansen, editors, MIE91 - 10th International Congress (Lecture Notes in Medical Informatics), Berlin, August 19-22 1991, European Federation for Medical Informatics, Springer Verlag, 309-313.
114. N. Karmarkar, "A new polynomial-time algorithm for linear programming", Combinatorica 4 (1984) 373-396.
115. E. Keravnou and L. J. Kohout, "A system for experimental verification of deviance of fuzzy connectives in information retrieval applications", In A. Ballester, D. Cardús, and E. Trillas, editors, Proc. of the Second Internat. Conference on Mathematics at the Service of Man, Las Palmas, 1982. (Las Palmas, Canary Islands, Spain, 28 June - 3 July), Universidad Politechnica de las Palmas, 384-387.
116. J. M. Keynes, A Treatise on Probability (Macmillan, London, 1921) (reprinted as Vol. 8 of J. M. Keynes, Collected Writings (Macmillan, London, 1973).
117. J. M. Keynes, A Treatise on Probability (Macmillan, London, 1921) (reprinted as Vol. 8 of J. M. Keynes, Collected Writings (Macmillan, London, 1973).
118. P. R. Kleindorfer, H. C. Kunreuther, and P. J. H. Schoemaker, Decision sciences. An integrative perspective (Cambridge University Press, 1993).
119. R. Kleyle and A. de Korvin, "A belief function approach to information utilization in decision making", J. Amer. Soc. Info. Sci. 41 (1990) No. 8, 569-580.
120. G. Klir, T. A. Folger, Fuzzy sets, uncertainty, and information (Prentice-Hall, U.K., 1988).
121. Z. W. Kmietowicz and A. D. Pearman, Decision theory and incomplete knowledge (Gower, Addershot, U.K., 1981).
122. L. J. Kohout, A Perspective on Intelligent Systems: a Framework for Analysis and Design (Chapman and Hall & Van Nostrand, London & New York, 1990).
123. L. J. Kohout, "Epistemological aspects of many-valued logics and fuzzy structures", In: U. Höhle, editor, Non-Classical Logics and Their Applications to Fuzzy Subsets (Theory and Decision Library, Ser. B Mathematical and Statistical Methods) (Kluwer, Dordrecht and Boston, 1993).
124. L. J. Kohout, J. Anderson, and W. Bandler, Knowledge-Based Systems for Multiple Environments (Ashgate Publ. (Gower), Aldershot, U.K., 1992).
125. L. J. Kohout, J. Anderson, W. Bandler, S. Gao, and C. Trayner, "CLINAID: A knowledge-based system for support of decisions in the conditions of risk and uncertainty", In: L. J. Kohout, J. Anderson, and W. Bandler, editors, Knowledge-Based Systems for Multiple Environments, Chapter 10 (Ashgate Publ. (Gower), Aldershot, U.K.) 1992.
126. L. J. Kohout and W. Bandler. "Knowledge representation, clinical action and expert systems," In: L. J. Kohout and W. Bandler, editors, Knowledge Representation in Medicine and Clinical Behavioural Science, an Abacus Book, (Gordon and Breach Publ., London and New York, 1986) 1-8.
127. L. J. Kohout and W. Bandler. "The use of fuzzy information retrieval techniques in construction of multi-centre knowledge-based systems," In: B. Bouchon and R. R. Yager, editors, Uncertainty in Knowledge-Based Systems (Lecture Notes in Computer Science, Vol. 286), (Springer Verlag, Berlin, 1987) 257-264.
128. L. J. Kohout and W. Bandler, "Fuzzy relational products in knowledge engineering," In: V. Novák et al., Editors, Fuzzy Approach to Reasoning and Decision Making (Academia and Kluwer, Prague and Dordrecht, 1992) 51-66.
129. L. J. Kohout and W. Bandler, "Use of fuzzy relations in knowledge representation, acquisition and processing", In: L. A. Zadeh and J. Kacprzyk, editors, Fuzzy Logic for the Management of Uncertainty (John Wiley, New York, 1992) 415-435.
130. L. J. Kohout and W. Bandler, "Interval-valued systems for approximate reasoning based on checklist paradigm semantics", In: P. Wang (ed.), Advances in fuzzy set theory and technology (Bookwright Press, Durham, NC, 1993) Vol. 1, 167-193.
131. L. J. Kohout, W. Bandler, S. Gao, and J. Anderson, "The fuzzy knowledge-based system CLINAID: a correspondence between its relational and neural net structures", Proceedings of the Third IEEE Conference on Fuzzy Systems (Orlando, FL, June 26-29, 1994) Vol. III, 2077-2081.
132. L. J. Kohout, A. Behrooz, J. Anderson, S. Gao, C. Trayner, and W. Bandler, "Dynamics of localised inference and its embedding in activity structures based IKBS architectures," In: Proc. of Second IFSA Congress (International Fuzzy Systems Association, July 1987) 740-743.
133. L. J. Kohout, S. Gao, and H. Kalantar, "Design of questioning strategies for knowledge-based systems," In: L. J. Kohout, J. Anderson, and W. Bandler, editors, Knowledge-Based Systems for Multiple Environments, Chapter 11, (Ashgate Publ. (Gower), Aldershot, U.K., 1992).
134. L. J. Kohout and M. Kallala, "Evaluator of neurological patients' dexterity based on relational fuzzy products", Proc. of the Second Expert Systems International Conference, London, October 1986 (Learned Information Inc., New Jersey, USA, and Oxford, UK, 1986) 1-12.
135. L. J. Kohout and M. Kallala, "Choice of fuzzy optimal logics for pattern classifiers by means of measure analysis", In: Proc. of 7th International Congress on Cybernetics and Systems (Imperial College, London, September 1987).
136. L. J. Kohout, E. Keravnou, and W. Bandler, "Automatic documentary information retrieval by means of fuzzy relational products", In: B. R. Gaines, L. A. Zadeh, and H.-J. Zimmermann, editors, Fuzzy Sets in Decision Analysis (North-Holland, Amsterdam, 1984) 383-404.
137. L. J. Kohout, E. Keravnou, W. Bandler, C. Trayner, and J. Anderson, "Construction of an expert therapy adviser as a special case of a general system protection design", In: R. Trappl, editor, Cybernetics and Systems Research 2 (North-Holland, Amsterdam, 1984) 97-104.
138. L. J. Kohout, E. Th. Keravnou, and W. Bandler, "Design of an information retrieval system using triangle and square products of fuzzy relations for thesaurus construction", In: Proc. IFAC International Symposium on Fuzzy Information, Knowledge Representation and Decision Analysis, Marseilles, France, 19-21 July 1983 (Pergamon Press, Oxford, 1983).
139. L. J. Kohout and I. Stabile, "Interval-valued information retrieval and inference in medical knowledge-based system Clinaid", In: Abstracts of the Conf. on Numerical Analysis with Automatic Result Verification (Lafayette, LA, February 25 - March 1 1993).
140. L. J. Kohout and I. Stabile, "Interval-valued inference in medical knowledge-based system CLINAID", Interval Computations (1993) No. 3, 88-115.
141. L. J. Kohout, I. Stabile, W. Bandler, and J. Anderson, "CLINAID: medical knowledge-based system based on fuzzy relational structures", In: Cohen and D. Hudson (eds), Comparative approaches in medical reasoning (Springer, N.Y., 1994).
142. L. J. Kohout, "Fuzzy interval-valued inference system with para-consistent and grey set extensions", Reliable Computing, 1995, Supplement (Extended Abstracts of APIC'95: International Workshop on Applications of Interval Computations, El Paso, TX, Febr. 23-25, 1995) 107-110.
143. L. J. Kohout, I. Stabile, H. Kalantar, M. San-Andres, and J. Anderson, "Parallel interval-based reasoning in medical knowledge-based system Clinaid," Reliable Computing 2 (1995) 109-140.
144. O. Kosheleva and V. Kreinovich, "One more potential application of symbolic computations: interval logic", International Conference on Interval and Computer-Algebraic Methods in Science and Engineering (Interval'94) (St. Petersburg, Russia, March 7-10, 1994) Abstracts, 143-146.
145. V. Kreinovich, "A review of "Uncertain reasoning" by G. Shafer and J. Pearl (eds.)", SIGART Bulletin 3 (1992) No. 4, 23-27.
146. V. Kreinovich and A. Bernat, "Parallel algorithms for interval computations: an introduction", Interval Computations (1994) No. 3, 6-62.
147. V. Kreinovich, A. Bernat, W. Borrett, Y. Mariscal, and E. Villa. "Monte-Carlo methods make Dempster-Shafer formalism feasible." In: R. R. Yager, J. Kacprzyk, and M. Pedrizzi (Eds.), Advances in the Dempster-Shafer Theory of Evidence (Wiley, N.Y., 1994) 175-191.
148. V. Kreinovich, A. P. Bernat, E. Villa, and Y. Mariscal, "Parallel computers estimate errors caused by imprecise data", Proceedings of the Fourth ISMM (International Society on Mini and Micro Computers) International Conference on Parallel and Distributed Computing and Systems (Washington, 1991) Vol. 1, 386-390.
149. V. Kreinovich, A. P. Bernat, E. Villa, and Y. Mariscal, "Parallel computers estimate errors caused by imprecise data", Interval Computations (1991) No. 2, 31-46.
150. V. Kreinovich, A. P. Bernat, E. Villa, and Y. Mariscal, "Parallel computers estimate errors caused by imprecise data", Technical Papers of the the Society of Mexican American Engineers and Scientists 1992 National Symposium (San Antonio, Texas, April 1992) 192-199.
151. 101, 461-463.
152. V. Kreinovich and H. T. Nguyen, "On Hubert's Thirteenth Problem for Soft Computing", Proceedings of the Joint 4th IEEE Conference on Fuzzy Systems and 2nd IFES (Yokohama, Japan, March 20-24, 1995) Vol. IV, 2089-2094.
153. L. Kuncheva, "An intuitionistic fuzzy k-nearest neighbors rule", Notes on Intuitionistic Fuzzy Sets 1 (1995) No. 1, 56-60.
154. V. P. Kuznetsov, Interval statistical models (Moscow, Radio i Svyaz Publ., 1991) (in Russian).
155. H. E. Kyburg, Probability and the logic of rational belief (Wesleyan University Press, Middletown, CT, 1961).
156. H. E. Kyburg, Probability and inductive logic (Macmillan, N.Y., 1970).
157. H. E. Kyburg, The logical foundations of statistical inference (Reidel, Dordrecht, 1974).
158. H. E. Kyburg, Epistemology and inference (University of Minnesota Press, Minneapolis, Minnesota, 1983).
159. H. E. Kyburg, Jr., "Bayesian and non-Bayesian evidential updating", Artificial Intelligence 31 (1987) 271-293.
160. H. E. Kyburg, Jr., "Representing knowledge and evidence for decision", In: B. Bouchon and R. R. Yager, editors, Uncertainty in Knowledge-Based Systems (Lecture Notes in Computer Science, Vol. 286), (Springer Verlag, Berlin, 1987) 30-40.
161. H. E. Kyburg, Jr., "Knowledge", In: L. N. Kanal and J. F. Lemmer, Uncertainty in Artificial Intelligence, Vol. 2 (Elsevier, North Holland, Amsterdam, 1988) 263-272.
162. J.-L. Lassez, T. Hyunh, K. McAloon, "Simplification and elimination of redundant linear arithmetic constraints", In: E. L. Lusk, R. A. Overbeek (eds.), Logic Programming. Proceedings of the North American Conference (MIT Press, Cambridge, MA, 1989) Vol. 1, 37-51.
163. R. N. Lea, "Interval estimates help to make intelligent control more efficient and reliable", Abstracts for a Workshop on Interval Methods in International Conference on Interval Computations (Lafayette, LA, February 25-March 1, 1993) 20.
164. R. N. Lea, V. Kreinovich, "Interval estimates help to make intelligent control more efficient and reliable", Technical Report, University of Texas at El Paso, UTEP-CS-92-20.
165. R. Lea, V. Kreinovich, and R. Trejo, "Optimal interval enclosures for fractionally-linear functions, and their application to intelligent control", Reliable Computing 2 (1996) No. 3, 265-286.
166. E. E. Learner, "Bid-ask spreads for subjective probabilities", In: P. K. Goel and A. Zellner, Bayesian Inference and Decision Techniques (North-Holland, Amsterdam, 1986).
167. S. A. Lesh, An evidential theory approach to judgment-based decision making, Ph.D. Thesis, Department of Forestry and Environmental Studies (Duke University, Durham, NC, 1986).
168. I. Levi, Gambling with truth (Knopf. N.Y., 1967).
169. I. Levi, "On indeterminate probabilities", J. Philosophy 71 (1974) 391-418.
170. I. Levi, The Enterprise of Knowledge (MIT Press, London, 1980).
171. I. Levi, "Ignorance, probability, and rational choice", Synthese 53 (1982) 387-417.
172. I. Levi, "Imprecision and indeterminacy in probability judgements", Philos. Sci. 52 (1985) 390-409.
173. D. V. Lindley and A. F. M. Smith, "Bayes estimates for the linear model" (with discussion), J. Roy. Statist. Soc., Ser. B 34 (1972) 1-41.
174. D. V. Lindley, A. Tversky, and R. V. Brown, "On the reconciliation of probability assessments" (with discussion), J. Roy. Statist. Soc., Ser. A 142 (1979) 146-180.
175. C. H. Ling, "Representation of associative functions", PuM. Math. Debrecen 12 (1965) 189-212.
176. S. G. Loo, Cybernetica 20 (1977) 201-210.
177. E. H. Mamdani, "Application of fuzzy algorithms for control of simple dynamic plant", Proceedings of the IEE 121(1974) No. 12, 1585-1588.
178. E. H. Mamdani, "Application of fuzzy logic to approximate reasoning using linguistic systems", IEEE Transactions on Computing 26 (1977) 1182-1191.
179. R. Mahesh, C. Pandu Rangan, and A. Srinivasan, "On finding the minimum bandwodth of interval graphs", Information and Computation 95 (1991) 218-224.
180. D. Morgenstein and J. Murphy, "An application of parallel interval techniques to geophysics", Reliable Computing, 1995, Supplement (Extended Abstracts of APIC'95: International Workshop on Applications of Interval Computations, El Paso, TX, Febr. 23-25, 1995) 155
181. E. A. Musaev, "The support of interval computations in high-level languages", In: Proceedings of the 1st Soviet-Bulgarian Seminar on Numerical Processing, Pereslavl-Zalessky, October 19-24, 1987, Pereslavl-Zalessky, VINITI, 1988, Publ. No. 2634-B89, 110-121 (in Russian).
182. E. A. Musaev, "Unexpected aspect of interval approach in a task of optimal currency exchange rates", In: International Conference on Interval and Computer-Algebraic Methods in Science and Engineering Interval'94 (St. Petersburg, Russia, March 7-10, 1994) Abstracts, 179-180.
183. 101, 393-397.
184. R. E. Neapolitan and J. Kenevan, "Justifying the principle of interval constraints", Proceedings of the 4th Workshop on Uncertainty in AI (1988) 266-274.
185. H. T. Nguyen, O. M. Kosheleva, and V. Kreinovich, "Is the success of fuzzy logic really paradoxical? Or: Towards the actual logic behind expert systems", International Journal of Intelligent Systems 11 (1996) No. 5, 295-326.
186. H. T. Nguyen and V. Kreinovich, "On Logical Equivalence in Fuzzy Logic", Sixth International Fuzzy Systems Association World Congress (San Paulo, Brazil, July 22-28, 1995) Vol. 1, 209-212.
187. H. T. Nguyen and V. Kreinovich, "Nested Intervals and Sets:
188. H. T. Nguyen and V. Kreinovich, "Towards theoretical foundations of soft computing applications", Proceedings of the 11-th IEEE CAAI, Conference on Applications of Artificial Intelligence (Los Angeles, CA, February 20-22, 1995) 368-373.
189. H. T. Nguyen and V. Kreinovich, "Towards theoretical foundations of soft computing applications", International Journal on Uncertainty, Fuzziness, and Knowledge-Based Systems 3 (1995) No. 3, 341-373.
190. H. T. Nguyen and V. Kreinovich, "Interval-valued fuzzy control in space exploration" BUlletin for Studies and Exchanges on Fuzziness and its Applications (BUSEFAL) 71 (July 1997), to appear.
191. H. T. Nguyen, V. Kreinovich, B. Lea, and D. Tolbert. "How to control if even experts are not sure: minimizing intervals of uncertainty". Abstracts for a Workshop on Interval Methods in International Conference on Interval Computations (Lafayette, LA, February 25-March 1, 1993) 27; full text appeared as Technical Report, University of Texas at El Paso, UTEP-CS-92-18.
192. H. T. Nguyen, V. Kreinovich, B. Lea, and D. Tolbert, "Interpolation that leads to the narrowest intervals, and its application to expert systems and intelligent control", Reliable Computing 1 (1995) No. 3, 299-316.
193. H. T. Nguyen, V. Kreinovich, V. Nesterov, and M. Nakamura, "On hardware support for interval computations and for soft computing: a theorem", IEEE Transactions on Fuzzy Systems (to appear)
194. H. T. Nguyen, V. Kreinovich, D. Tolbert, "On robustness in fuzzy logics", Proceedings of the IEEE-FUZZ International Conference (San Francisco, CA, March 1993) Vol. 1, 543-547.
195. H. T. Nguyen, V. Kreinovich, and D. Tolbert, "A measure of average sensitivity for fuzzy logics", International Journal on Uncertainty, Fuzziness, and Knowledge-Based Systems 2 (1994) No. 4, 361-375.
196. H. T. Nguyen and E. A. Walker, "On decision making using belief functions", In: R. R. Yager, J. Kacprzyk, and M. Pedrizzi (Eds.), Advances in the Dempster-Shafer Theory of Evidence (Wiley, N.Y., 1994) 311-330.
197. H. T. Nguyen and E. A. Walker, A first course in fuzzy logic (CRC Press, Boca Raton, Florida, 1997).
198. N. J. Nilsson, "Probabilistic logic", Artificial Intelligence 28 (1986) 71-87.
199. A. M. Norwich and I. B. Türkşen, "A model for the measurement of membership and the consequences of its empirical implementation", Fuzzy Sets and Systems 12 (1984) No. 1, 1-25.
200. P. Palacharia and P. Nelson, "Understanding relations between fuzzy logic and evidential reasoning methods", Proceedings of the Third IEEE Conference on Fuzzy Systems (Orlando, FL, June 26-29, 1994) Vol. III, 1933-1938.
201. J. Pearl, Probabilistic Reasoning in Intelligent Systems (Morgan Kaufmann, San Mateo, CA, 1988).
202. C. A. B. Pereira and L. R. Pericci, Analysis of diagnostability, University of São Paolo, Technical Report, 1988.
203. C. A. B. Pereira and L. R. Pericci, "Analysis of diagnostability", Applied Statistics 39 (1990) No. 1.
204. L. R. Pericci and P. Walley, "On being imprecise on the higher levels of a hierarchical linear model", In: J. M. Bernardo et al. (eds.), Bayesian Statistics 3, 1987.
205. J. R. Quinlan, "Inferno: a cautious approach to uncertain inference", Computer J. 26 (1983) No. 3, 255-268.
206. A. L. Ralescu, Syllogistic reasoning and FRIL, In: Proceedings of Ohio University Computer Conference, Oct. 27-29, 1989.
207. F. S. Roberts, "On nontransitive indifference", J. Math. Psychol. 7 (1970) 243-258.
208. 101, 400-404.
209. L. M. Rocha, V. Kreinovich, and R. B. Kearfott, "Computing uncertainty in interval based sets", In: R. B. Kearfott et al. (eds.), Applications of Interval Computations (Kluwer, Dordrecht, 1996) 337-380.
210. B. Russell, Human Knowledge: Its Scope and Limits (George Allen and Unwin, London, 1948).
211. M. F. San-Andres-Gutierrez. On the Applicability of Some Implication Operators on the Diagnostic Inference of Clinaid. MS Thesis, Dept. of Computer Science, Florida State University, Tallahassee, FL, 1993.
212. L. J. Savage, The foundations of statistics, 2nd edition (Dover, N.Y., 1972).
213. J. Schubert, "On nonspecific evidence", Int. J. Inteli Syst. 8 (1993) No. 6, 711-725.
214. J. Schubert, Cluster-based specification techniques in Dempster-Shafer theory for an evidential intelligence analysis of multiple target tracks, Ph.D. Dissertation, Royal Institute of Technology, Department of Numerical Analysis and Computer Science, Stockholm, Sweden, 1994.
215. J. Schubert, Specifying nonspecific evidence, FOA Report C 20975-2.7 (National Defence Research Establishment, Stockholm, 1994).
216. D. A. Schum and A. W. Matrin, "Formal and empirical research on cascaded inference in jurisprudence", Law and Society Rev. 17 (1982) 105-157.
217. B. Schweizer and A. Sklar, "Associative functions and statistical triangle inequalities", Publ. Math. Debrecen 8 (1961) 169-186.
218. B. Schweizer and A. Sklar. Probabilistic metric spaces (North Holland, N.Y., 1983).
219. G. Shafer, A mathematical theory of evidence (Princeton University Press, Princeton, NJ, 1976).
220. E. H. Shortliffe. Computer-based medical consultation: MYCIN (Elsevier, New York, 1976).
221. S. J. Simoff, Interval approximate reasoning for expert systems, Interval Computations (1992) No. 4, 83-87.
222. B. Skymrs, "Higher order degrees of belief, In: D. H. Mellor (ed.), Prospects for Pragmatism (Cambridge University Press, 1980).
223. P. Smets and R. Kennes, "The transferable belief model", Artificial Intelligence 66 (1994) No. 2, 191-234.
224. C. A. B. Smith, "Consistency in statistical inference and decision", Journal of the Royal Statistical Society, Ser. B 23 (1962) No. 1, 1-37.
225. 101, 347-351.
226. S. Smith and V. Kreinovich, "In Case of Interval Uncertainty, Optimal Control is NP-Hard Even for Linear Plants, so Expert Knowledge is Needed", Reliable Computing, 1995, Supplement (Extended Abstracts of APIC'95: International Workshop on Applications of Interval Computations, El Paso, TX, Febr. 23-25, 1995) 190-193.
227. P. Snow, "Bayesian inference without point estimates", Proc. AAAI-86, 5th Conference on Artificial Intelligence (1986) 233-237.
228. G. N. Solopchenko, L. K. Reznik, W. C. Johnson, "Fuzzy intervals as a basis for measurement theory", in101, 405-406.
229. M. Spies, "Combination of evidence with conditional objects and its application to cognitive modeling", In: I. R. Goodman, M. M. Gupta, H. T. Nguyen, G. S. Rogers (editors), Conditional logic in expert systems (Elsevier, 1991) 181-209.
230. S. Starks et al., "How to avoid congestion in computer networks", in101, 466-469.
231. E. Stiller, S. Lovstad, W. Bandler, and V. a Mancini. "Representing the social dimension: Design and methodology for an urban planning system," In: M.'B. Fishman, editor, Proceedings of 2nd Florida Artificial Intelligence Research Symposium, The Florida Al Research Symposium (St. Petersburgh, FL, 1989) 216-220.
232. T. M. Strat, "Decision analysis using belief model", Int. J. Approx. Reasoning 4 (1990) No. 5/6, 391-417.
233. T. M. Strat, "Decision analysis using belief functions", In: R. R. Yager, J. Kacprzyk, and M. Pedrizzi (Eds.), Advances in the Dempster-Shafer Theory of Evidence (Wiley, N.Y., 1994) 275-310.
234. P. Suppes, D. M. Krantz, R. D. Luce, and A. Tversky, Foundations of measurement. Vol. II. Geometrical, threshold, and probablistics representations (Academic Press, San Diego, CA, 1989).
235. M. J. Swain, P. R. Cooper, "Parallel software for constraint propagation", Proceedings AAAI-88 Seventh National Conference on Artificial Intelligence (Morgan Kaufmann, 1988) Vol. 2, 682-686.
236. B. Tessem, Truth maintenance in infinite-valued logic, University of Bergen, Norway, Department of Informatics, Technical Report No. 35, 1989.
237. B. Tessem, Interval probability propagation, University of Bergen, Norway, Department of Informatics, Technical Report No. 39, 1989.
238. B. Tessem, Extending the A/R algorithm for interval probability propagation, University of Bergen, Norway, Department of Informatics, Technical Report No. 42, 1989.
239. B. Tessem, "Interval probability propagation", International Journal of Approximate Reasoning 7 (1992) No. 3/4, 95-120.
240. J. Thorp, J. McClure, and T. L. Fine, "The use of expert opinion in forecasting production cost of an electric utility", Proc. 1982 IEEE Int'l Large Scale Systems Symposium (IEEE Press, N.Y., 1982).
241. 101, 464-465.
242. I. B. Türkşen, Lattices and groups of fuzzy propositions, Working Paper 80-006, Department of Industrial Engineering, University of Toronto, Toronto, Ontario, M5S 1A4, Canada, 1980.
243. I. B. Türkşen, "Inference regions of fuzzy proposition", In: P. P. Wang (ed.): Advances in Fuzzy Sets. Possibility Theory and Applications (Plenum Press, New York, 1983) 137-148.
244. I. B. Türkşen, "Interval valued fuzzy sets based on normal forms", Fuzzy Sets and Systems 20 (1986) 191-210.
245. I. B. Türkşen, "Approximate reasoning with interval-valued fuzzy sets", Proceedings of the 2nd IFSA Congress (Tokyo, July 20-25, 1987) 456-459.
246. I. B. Türkşen, "Approximate reasoning for production planning", Intl. J. of Fuzzy Sets and Systems 26 (1988) 23-37.
247. I. B. Türkşen, "Four methods of approximate reasoning with interval-valued fuzzy sets", Intl. J. of Approximate Reasonings (1989) 121-142.
248. I. B. Türkşen, "Measurement of membership functions and their acquisition", Fuzzy Sets and Systems 50 (1991) No. 1, 5-38.
249. I. B. Türkşen, "Interval valued fuzzy sets and compensatory AND", Fuzzy Sets and Systems 51 (1992) 295-302.
250. I. B. Türkşen, "Interval valued fuzzy sets and fuzzy connectives", Interval Computations (1993) No. 4, 125-142.
251. I. B. Türkşen, "Impact of fuzzy normal forms on knowledge representation", Proceedings of the Third IEEE Conference on Fuzzy Systems (Orlando, FL, June 26-29, 1994), Vol. III, 2107-2112.
252. I. B. Türkşen, "Interval valued fuzzy sets", in101, pp. 317-321.
253. I. B. Türkşen, "Non-specificity and interval-valued fuzzy sets", Fuzzy Sets and Systems 80 (1996) 87-100.
254. I. B. Türkşen and Taner Bolgiç, "Interval valued strict preference with Zadeh triples", Fuzzy Sets and Systems 78 (1996) 183-195.
255. I. B. Türkşen and S. Jiang, "Normal form based compensatory connectives", Proceedings of NAFIPS'93 (Allentown, Pennsylvania, August 22-26, 1993) 160-164.
256. I. B. Türkşen and S. Jiang, "A family of c-AND operators based on interval-valued normal forms", Proceedings of the Third IEEE Conference on Fuzzy Systems (Orlando, FL, June 26-29, 1994), Vol. II, 1132-1136.
257. E. Villa, A. Bernat, and V. Kreinovich, "Estimating errors of indirect measurement on realistic parallel machinés: routings on 2-D and 3-D meshes that are nearly optimal", Interval Computations (1993) No. 4, 154-175.
258. P. Walley, Statistical reasoning with imprecise probabilities (Chapman and Hall, N.Y., 1991).
259. P. Walley and F. M. Campello de Souza, The economic viability of solar energy systems, Technical Report, UFPE and Cornell University, 1986 (revised version to appear in Energy Systems and Policy).
260. P. Walley and F. M. Campello de Souza, The economic viability of solar energy systems, Technical Report, UFPE and Cornell University, 1986 (revised version to appear in Energy Systems and Policy).
261. P. Walley and T. L. Fine, "Towards a frequentist theory of upper and lower probability", Ann. Statist. 10 (1982) 741-761.
262. P. Walley and L. R. Pericci, Credible intervals: how credible are they?, Wellington, New Zealand, DSIR, Applied Mathematics Division, Report No. 143, 1988.
263. P. Walley and L. R. Pericci, "Credible intervals: how credible are they?", Internat. Statist. Review 58 (1990).
264. Proceedings of the IEEE World Congress on Computational Intelligence (Orlando, FL, 1994).
265. S. Weber, "A general concept of fuzzy connectives, negations, and implications based on t-norms and t-conorms", Fuzzy Sets and Systems 11 (1983) 115-134.
266. T. Whalen and C. Bronn, "Hurwicz and regret criteria extended to decisions with ordinal probabilities", Proc. of 1990 North Amer. Fuzzy Inform. Proc. Soc. Conference (1990) 219-222.
267. T. Whalen, "Interval probabilities induced by decision problems", In: R. R. Yager, J. Kacprzyk, and M. Pedrizzi (Eds.), Advances in the Dempster-Shafer Theory of Evidence (Wiley, N.Y., 1994) 353-374.
268. C. C. White, "A posteriori representations based on linear inequality descriptions of a priori and conditional probabilities", IEEE Trans. Systems, Man, and Cybern. 16 (1986) No. 4, 570-573.
269. P. M. Williams, Notes on conditional previsions, School of Math, and Phys. Sci., Univ. of Sussex, U.K., Research Report, 1975.
270. P. M. Williams, "Indeterminate probabilities", In: M. Przelecki, K. Szaniawski, and R. Wojcicki (Reidel, Dordrecht, 1976) 229-246.
271. D. von Winterfeldt and W. Edwards, Decision Analysis and Behavioral Research (Cambridge University Press, 1986).
272. M. Wolfenson and T. L. Fine, "Bayes-like decision making with upper and lower probabilities", J. Amer. Statist. Assoc. 77 (1982) 80-88.
273. 101, pp. 171-174.
274. K. C. Wu, "Fuzzy interval control of mobile robots", Computers and Electrical Engineering 22 (1996) No. 3, 211-219.
275. R. R. Yager, "On general class of fuzzy connectives", Fuzzy Sets and Systems 4 (1980) 235-262.
276. R. R. Yager, J. Kacprzyk, and M. Pedrizzi (Eds.), Advances in the Dempster-Shafer Theory of Evidence (Wiley, N.Y., 1994).
277. B. Yuan, Y. Pan, and W. Wu, "On normal form based interval-values sets and their applications to approximate reasoning", International Journal of General Systems 23 (1995) 241-254.
278. L. A. Zadeh, "Fuzzy Sets", Inform, and Control 8 (1965) 338-353.
279. A. Zellner, An Introduction to Bayesian Inference in Econometrics (Wiley, N.Y., 1971).
280. H. H. Zimmerman and P. Zysno, "Latent connectives in human decision making", Fuzzy Sets and Systems 4 (1980) 37-51.
281. S. Wang, "Generating fuzzy membership functions: a monotonic neural network model", Fuzzy Sets and Systems 62 (1994) No. 1, 71-81.
282. R. L. Winkler, "The assessment of prior distributions in Bayesian analysis", J. Amer. Statist. Assoc. 62 (1967) 776-800.
283. Qiang Zuo, "Description of strictly monotonic interval AND/OR operations", Reliable Computing, 1995, Supplement (Extended Abstracts of APIC'95: International Workshop on Applications of Interval Computations, El Paso, TX, Febr. 23-25, 1995) 232-235.
284. Qiang Zuo, I. B. Türkşen, H. T. Nguyen, and V. Kreinovich, "In expert systems, even if we fix AND/OR operations, a natural answer to a composite query is the interval of possible degrees of belieP, Reliable Computing, 1995, Supplement (Extended Abstracts of APIC'95: International Workshop on Applications of Interval Computations, El Paso, TX, Febr. 23-25, 1995) 236-240.
285. V. S. Zyuzin, "An iterative method for solving a system of segment algebraic equations" , In: Differential equations and functions theory, (Saratov University Publ., Saratov, 1987) 72-82 (in Russian).
286. V. S. Zyuzin, "Twins and a method for solving systems of twin equations", In: Interval Analysis (Krasnoyarsk, Academy of Sciences Computing Center, Technical Report No. 6, 1988) 19-21 (in Russian).