Linguistic decision making: Theory and methods

Linguistic Decision Making: Theory and Methods

Volumn 9783642294402, Issue , 2012, Pages 1-230

  Xu, Zeshui ^a  

^a PLA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; DECISION MAKING; LINGUISTICS; MATHEMATICAL OPERATORS;

COMPUTING WITH WORD (CWW); LINGUISTIC AGGREGATION OPERATORS; LINGUISTIC INFORMATION; LINGUISTIC PREFERENCE RELATION; MULTI ATTRIBUTE DECISION MAKING; THEORY AND METHODS;

DECISION THEORY;

EID: 84949178146     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-642-29440-2     Document Type: Book

References (249)

1. Bordogna G, Fedrizzi M, Passi G. 1997. A linguistic modeling of consensus in group decision making based on OWA operator. IEEE Transactions on Systems, Man, and Cybernetics, 27: 126-132.
2. Carlsson C, Fullér R. 2000. Multi-objective linguistic optimization. Fuzzy Sets and Systems, 115: 5-10.
3. Chen S J, Hwang C L. 1992. Fuzzy Multiple Attribute Decision Making: Methods and Applications. Berlin: Springer-Verlag.
4. Cordón O, Herrera F, Zwir I. 2002. Linguistic modeling by hierarchical systems of linguistic rules. IEEE Transactions on Fuzzy Systems, 10: 2-20.
5. Dai Y Q, Xu Z S, Da Q L. 2008. New evaluation scale of linguistic information and its application. Chinese Journal of Management Science, 16(2): 145-149.
6. Fan Z P, Ma J, Zhang Q. 2002. An approach to multiple attribute decision making based on fuzzy preference information on alternatives. Fuzzy Sets and Systems, 131: 101-106.
7. Fan Z P, Wang X R. 2004. Approach to solve assignment problems with linguistic assessment information. Journal of Systems Engineering, 19(1): 14-19.
8. Herrera F, Herrera-Viedma E, Chiclana F. 2001a. Multiperson decision making based on multiplicative preference relations. European Journal of Operational Research, 129: 372-385.
9. Herrera F, Herrera-Viedma E, Chiclana F. 2003. A study of the origin and uses of the ordered weighted geometric operator in multicriteria decision making. International Journal of Intelligent Systems, 18: 689-707.
10. Herrera F, Herrera-Viedma E, Martínez L. 2000. A fusion approach for managing multi-granularity linguistic term sets in decision making. Fuzzy Sets and Systems, 114: 43-58.
11. Herrera F, Herrera-Viedma E, Verdegay J L. 1995. A sequential selection process in group decision making with a linguistic assessment approach. Information Sciences, 85: 223-239.
12. Herrera F, Herrera-Viedma E, Verdegay J L. 1996a. A model of consensus in group decision making under linguistic assessments. Fuzzy Sets and Systems, 78: 73-87.
13. Herrera F, Herrera-Viedma E, Verdegay J L. 1996b. Direct approach processes in group decision making using linguistic OWA operators. Fuzzy Sets and Systems, 79: 175-190.
14. Herrera F, Herrera-Viedma E, Verdegay J L. 1997. A rational consensus model in group decision making using linguistic assessments. Fuzzy Sets and Systems, 88: 31-49.
15. Herrera F, Herrera-Viedma E. 1997. Aggregation operators for linguistic weighted information. IEEE Transactions on Systems, Man, and Cybernetics-Part A, 27: 646-656.
16. Herrera F, Herrera-Viedma E. 2000a. Choice functions and mechanisms for linguistic preference relations. European Journal of Operational Research, 120: 144-161.
17. Herrera F, Herrera-Viedma E. 2000b. Linguistic decision analysis: steps for solving decision problems under linguistic information. Fuzzy Sets and Systems, 115: 67-82.
18. Herrera F, Herrera-Viedma E. 2003. Linguistic preference modeling: foundation models and new trends. In: Proceedings of 4th International Workshop on Preferences and Decisions, Trento, Italy: 47-51.
19. Herrera F, López E, Mendaña, et al. 2001b. A linguistic decision model for personnel management solved with a linguistic biobjective genetic algorithm. Fuzzy Sets and Systems, 118: 47-64.
20. Herrera F, Martínez L, Sánchez P. J. 2005. Managing non-homogeneous information in group decision making. European Journal of Operational Research, 166: 115-132.
21. Herrera F, Martínez L. 2000a. A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Fuzzy Systems, 8: 746-752.
22. Herrera F, Martínez L. 2000b. An approach for combining linguistic and numerical information based on the 2-tuple fuzzy linguistic representation model in decision-making. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 8: 539-562.
23. Herrera F, Martínez L. 2001a. The 2-tuple linguistic computational model: advantages of its linguistic description, accuracy and consistency. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 9 (Suppl.): 33-48.
24. Herrera F, Martínez L. 2001b. A model based on linguistic 2-tuples for dealing with multi-granular hierarchical linguistic contexts in multi-expert decision-making. IEEE Transactions on Systems, Man, and Cybernetics, 31: 227-233.
25. Herrera F, Verdegay J L. 1993. Linguistic assessments in group decision. In: Proceedings of the First European Congress on Fuzzy and Intelligent Technologies, Aachen: 941-948.
26. Herrera-Viedma E, Cordon O, Luque M, et al. 2003. A model of fuzzy linguistic IRS based on multi-granular linguistic information. International Journal of Approximate Reasoning, 34: 221-239.
27. Herrera-Viedma E, Herrera F, Martínez L, et al. 2004. Incorporating filtering techniques in a fuzzy linguistic multi-agent model for gathering of information on the web. Fuzzy Sets and Systems, 148: 61-83.
28. Herrera-Viedma E, Martínez L, Mata F, et al. 2005. A consensus support systems model for group decision making problems with multigranular linguistic preference relations. IEEE Transactions on Fuzzy Systems, 13: 644-658.
29. Herrera-Viedma E, Peis E. 2003. Evaluating the informative quality of documents in SGML format from judgments by means of fuzzy linguistic techniques based on computing with words. Information Processing and Management, 39: 233-249.
30. Herrera-Viedma E. 2001. Modeling the retrieval process of an information retrieval system using an ordinal fuzzy linguistic approach. Journal of the American Society for Information Science and Technology, 52: 460-475.
31. Levrat E, Voisin A, Bombardier S, et al. 1997. Subjective evaluation of car seat comfort with fuzzy set techniques. International Journal of Intelligent Systems, 12: 891-913.
32. Martínez L, Liu J, Yang J B, et al. 2005. A multigranular hierarchical linguistic model for design evaluation based on safety and cost analysis. International Journal of Intelligent Systems, 20: 1161-1194.
33. Saaty T L. 1980. The Analytic Hierarchy Process. New York: McGraw-Hill.
34. Shu K, Liang Z H. 1990. The exponential scale method in AHP. Systems Engineering-Theory & Practice, 10(1): 6-8.
35. Torra V. 1996. Negation functions based semantics for ordered linguistic labels. International Journal of Intelligent Systems, 11: 975-988.
36. Torra V. 2001. Aggregation of linguistic labels when semantics is based on antonyms. International Journal of Intelligent Systems, 16: 513-524.
37. Wang H, Ma D. 1993. Scale evaluation and new scale methods. Systems Engineering-Theory & Practice, 13(5): 24-26.
38. Wang R C, Chuu S J. 2004. Group decision-making using a fuzzy linguistic approach for evaluating the flexibility in a manufacturing system. European Journal of Operational Research, 154: 563-572.
39. Wang X R, Fan Z P. 2003. Method for group decision making based on two-tuple linguistic information processing. Journal of Management Sciences in China, 6(5): 1-5.
40. Xu Z S, Da Q L. 2002. Multi-attribute decision making based on fuzzy linguistic assessments. Journal of Southeast University, 32: 656-658.
41. Xu Z S, Da Q L. 2003. Method based on fuzzy linguistic scale and fuzzy induced ordered weighted geometric averaging (FIOWGA) operator for decision making problems. Journal of Southeast University, 19: 88-91.
42. Xu Z S. 2000. A simulation-based evaluation of several scales in the analytic hierarchy process. Systems Engineering-Theory & Practice, 20(7): 58-62.
43. Xu Z S. 2004a. Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment. Information Sciences, 168: 171-184.
44. Xu Z S. 2004b. On method of multi-attribute group decision making under pure linguistic information. Control and Decision, 19(7): 778-781.
45. Xu Z S. 2004c. Method based on fuzzy linguistic assessments and GIOWA operator in multi-attribute group decision making. Journal of Systems Science and Mathematical Sciences, 24: 218-224.
46. Xu Z S. 2004d. Uncertain Multiple Attribute Decision Making: Methods and Applications. Beijing: Tsinghua University Press.
47. Xu Z S. 2004e. EOWA and EOWG operators for aggregating linguistic labels based on linguistic preference relations. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 12: 791-810.
48. Xu Z S. 2004f. A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Information Sciences, 166: 19-30.
49. Xu Z S. 2005a. An approach to pure linguistic multiple attribute decision making under uncertainty. International Journal of Information Technology and Decision Making, 4: 197-206.
50. Xu Z S. 2005b. An approach to group decision making based on incomplete linguistic preference relations. International Journal of Information Technology and Decision Making, 4: 153-160.
51. Xu Z S. 2005c. Deviation measures of linguistic preference relations in group decision making. Omega, 33: 249-254.
52. Xu Z S. 2005d. Maximizing deviations procedure for multiple attribute decision making under linguistic environment. Lecture Series on Computer and Computational Sciences, 2: 150-154.
53. Xu Z S. 2006a. A note on linguistic hybrid arithmetic averaging operator in group decision making with linguistic information. Group Decision and Negotiation, 15: 581-591.
54. Xu Z S. 2006b. On generalized induced linguistic aggregation operators. International Journal of General Systems, 35: 17-28.
55. Xu Z S. 2006c. Induced uncertain linguistic OWA operators applied to group decision making. Information Fusion, 7: 231-238.
56. Xu Z S. 2006d. A direct approach to group decision making with uncertain additive linguistic preference relations. Fuzzy Optimization and Decision Making, 5: 23-35.
57. Xu Z S. 2006e. An approach based on the uncertain LOWG and the induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations. Decision Support Systems, 41: 488-499.
58. Xu Z S. 2006f. Goal programming models for multiple attribute decision making under linguistic setting. Journal of Management Sciences in China, 9: 9-17.
59. Xu Z S. 2006g. Incomplete linguistic preference relations and their fusion. Information Fusion, 7: 331-337.
60. Xu Z S. 2006h. A practical procedure for group decision making under incomplete multiplicative linguistic preference relations. Group Decision and Negotiation, 15: 593-604.
61. Xu Z S. 2006i. Multiple attribute decision making based on different types of linguistic information. Journal of Southeast University, 22(1): 134-136.
62. Xu Z S. 2007a. A method for multiple attribute decision making with incomplete weight information in linguistic setting. Knowledge-Based Systems, 20: 719-725.
63. Xu Z S. 2007b. Linguistic aggregation operators: an overview. In: Bustince H, Herrera F, Montero J. eds. Fuzzy Sets and Their Extensions: Representation, Aggregation and Models. Heidelberg: Springer. 163-181.
64. Xu Z S. 2007c. A survey of preference relations. International Journal of General Systems, 36: 179-203.
65. Xu Z S. 2007d. Dynamic linguistic preference relations and their use in multi-period decision making. In: International Conference on Management Science and Engineering. Proceedings of 2007 International Conference on Management Science and Engineering. Harbin, China, 345-350.
66. Xu Z S. 2007e. An interactive procedure for linguistic multiple attribute decision making with incomplete weight information. Fuzzy Optimization and Decision Making, 6: 7-27.
67. Xu Z S. 2008. Group decision making based on multiple types of linguistic preference relations. Information Sciences, 178: 452-467.
68. Xu Z S. 2009a. Multi-period multi-attribute group decision making under linguistic assessments. International Journal of General Systems, 38: 823-850.
69. Xu Z S. 2009b. Correlated linguistic information aggregation. International Journal of Uncertainty, Fuzziness and Knowledge-Based System, 17: 633-647.
70. Xu Z S. 2009c. An interactive approach to multiple attribute group decision making with multigranular uncertain linguistic information. Group Decision and Negotiation, 18: 119-145.
71. Xu Z S. 2010. Interactive group decision making procedure based on uncertain multiplicative linguistic preference relations. Journal of Systems Engineering and Electronics, 21: 408-415.
72. Yager R R. 1992. Applications and extensions of OWA aggregations. International Journal of Man-Machine Studied, 37: 103-132.
73. Yager R R. 1995. An approach to ordinal decision making. International Journal of Approximate Reasoning, 12: 237-261.
74. Zadeh L A, Kacprzyk J, eds. 1999a. Computing with Words in Information/Intelligent Systems 1: Foundations. Heidelberg: Physica-Verlag.
75. Zadeh L A, Kacprzyk J, eds. 1999b. Computing with Words in Information/Intelligent Systems 2: Applications. Heidelberg: Physica-Verlag.
76. Adamopoulos G I, Pappis G P. 1996. A fuzzy linguistic approach to a multicriteria-sequencing problem. European Journal of Operational Research, 92: 628-636.
77. Becker H. 2001. Computing with words and machine learning in medical diagnostics. Information Sciences, 134: 53-69.
78. Bonissone P P, Decker K S. 1986. Selecting uncertainty calculi and granularity: an experiment in trading-off precision and complexity. In: Kanal L H, Lemmer J F. eds. Uncertainty in Artificial Intelligence. Amsterdam: North-Holland: 217-247.
79. Bordogna G, Fedrizzi M, Passi G. 1997. A linguistic modeling of consensus in group decision making based on OWA operator. IEEE Transactions on Systems, Man, and Cybernetics, 27: 126-132.
80. Bordogna G, Passi G. 1993. A fuzzy linguistic approach generalizing boolean information retrieval: a model and its evaluation. Journal of the American Society for Information Science and Technology, 44: 70-82.
81. Chang P, Chen Y. 1994. A fuzzy multicriteria decision making method for technology transfer strategy selection in biotechnology. Fuzzy Sets and Systems, 63: 131-139.
82. Chen S J, Hwang C L. 1992. Fuzzy Multiple Attribute Decision Making: Methods and Applications. Berlin: Springer-Verlag.
83. Chen S M. 1997. A new method for tool steel materials selection under fuzzy environment. Fuzzy Sets and Systems, 92: 265-274.
84. Chiclana F, Herrera F, Herrera-Viedma E. 1998. Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations. Fuzzy Sets and Systems, 97: 33-48.
85. Chiclana F, Herrera F, Herrera-Viedma E. 2001. Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations. Fuzzy Sets and Systems, 122: 277-291.
86. Choquet G. 1953. Theory of capacities. Annales de l'institut Fourier, 5: 131-296.
87. Degani R, Bortolan G. 1988. The problem of linguistic approximation in clinical decision making. Internatioanl Journal of Approximate Reasoning, 2: 143-162.
88. Delgado M, Herrera F, Herrera-Viedma E, et al. 1998. Combining numerical and linguistic information in group decision making. Information Sciences, 107: 177-194.
89. Delgado M, Herrera F, Herrera-Viedma E, et al. 2002. A communication model based on the 2-tuple fuzzy linguistic representation for a distributed intelligent agent system on internet. Soft Computing, 6: 320-328.
90. Delgado M, Verdegay J L, Vila M A. 1993a. Linguistic decision making models. International Journal of Intelligent Systems, 7: 479-492.
91. Delgado M, Verdegay J L, Vila M A. 1993b. On aggregation operators of linguistic labels. International Journal of Intelligent Systems, 8: 351-370.
92. Delgado M, Verdegay J L, Vila M A. 1994. A model for incomplete and vague in information in decision making problems. International Journal of Intelligent Systems, 9: 365-378.
93. Dubois D, Prade H. 1980. Fuzzy Sets and Systems: Theory and Applications. New York: Academic Press.
94. Fan Z P, Ma J, Zhang Q. 2002. An approach to multiple attribute decision making based on fuzzy preference information on alternatives. Fuzzy Sets and Systems, 131: 101-106.
95. Fullér R, Majlender P. 2003. On obtaining minimal variability OWA operator weights. Fuzzy Sets and Systems, 136: 203-215.
96. Grabisch M. 1995. Fuzzy integral in multicriteria decision making. Fuzzy Sets and Systems, 69: 279-298.
97. Harsanyi J C. 1955. Cardinal welfare, individualistic ethics, and interpersonal comparisons of utility. Journal of Political Economy, 63: 309-321.
98. Herrera F, Herrera-Viedma E, Chiclana F. 2001a. Multiperson decision making based on multiplicative preference relations. European Journal of Operational Research, 129: 372-385.
99. Herrera F, Herrera-Viedma E, Chiclana F. 2003. A study of the origin and uses of the ordered weighted geometric operator in multicriteria decision making. International Journal of Intelligent Systems, 18: 689-707.
100. Herrera F, Herrera-Viedma E, Martínez L. 2000. A fusion approach for managing multi-granularity linguistic term sets in decision making. Fuzzy Sets and Systems, 114: 43-58.
101. Herrera F, Herrera-Viedma E, Verdegay J L. 1995. A sequential selection process in group decision making with a linguistic assessment approach. Information Sciences, 85: 223-239.
102. Herrera F, Herrera-Viedma E, Verdegay J L. 1996a. A model of consensus in group decision making under linguistic assessments. Fuzzy Sets and Systems, 78: 73-87.
103. Herrera F, Herrera-Viedma E, Verdegay J L. 1996b. Direct approach processes in group decision making using linguistic OWA operators. Fuzzy Sets and Systems, 79: 175-190.
104. Herrera F, Herrera-Viedma E, Verdegay J L. 1997. A rational consensus model in group decision making using linguistic assessments. Fuzzy Sets and Systems, 88: 31-49.
105. Herrera F, Herrera-Viedma E. 1997. Aggregation operators for linguistic weighted information. IEEE Transactions on Systems, Man, and Cybernetics-Part A, 27: 646-656.
106. Herrera F, Herrera-Viedma E. 2000a. Choice functions and mechanisms for linguistic preference relations. European Journal of Operational Research, 120: 144-161.
107. Herrera F, Herrera-Viedma E. 2000b. Linguistic decision analysis: steps for solving decision problems under linguistic information. Fuzzy Sets and Systems, 115: 67-82.
108. Herrera F, Herrera-Viedma E. 2003. Linguistic preference modeling: foundation models and new trends. In: Proceedings of 4th International Workshop on Preferences and Decisions, Trento, Italy: 47-51.
109. Herrera F, López E, Mendaña, et al. 2001b. A linguistic decision model for personnel management solved with a linguistic biobjective genetic algorithm. Fuzzy Sets and Systems, 118: 47-64.
110. Herrera F, López E, Rodríguez M. A. 2002. A linguistic decision model for promotion mix management solved with genetic algorithms. Fuzzy Sets and Systems, 131: 47-61.
111. Herrera F, Martínez L. 2000a. A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Fuzzy Systems, 8: 746-752.
112. Herrera F, Martínez L. 2000b. An approach for combining linguistic and numerical information based on the 2-tuple fuzzy linguistic representation model in decision-making. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 8: 539-562.
113. Herrera F, Martínez L. 2001a. The 2-tuple linguistic computational model: advantages of its linguistic description, accuracy and consistency. Internal Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 9 (Suppl.): 33-48.
114. Herrera F, Verdegay J L. 1993. Linguistic assessments in group decision. In: Proceedings of the First European Congress on Fuzzy and Intelligent Technologies, Aachen: 941-948.
115. Herrera-Viedma E, Cordon O, Luque M, et al. 2003. A model of fuzzy linguistic IRS based on multi-granular linguistic information. International Journal of Approximate Reasoning, 34: 221-239.
116. Herrera-Viedma E, Peis E. 2003. Evaluating the informative quality of documents in SGML format from judgments by means of fuzzy linguistic techniques based on computing with words. Information Processing and Management, 39: 233-249.
117. Herrera-Viedma E. 2001. Modeling the retrieval process of an information retrieval system using an ordinal fuzzy linguistic approach. Journal of the American Society for Information Science and Technology, 52: 460-475.
118. Huynh V N, Nakamori Y. 2005. A satisfactory-oriented approach to multiexpert decision-making with linguistic assessments. IEEE Transactions on Systems, Man, and Cybernetics-Part B, 35: 184-196.
119. Kostek B. 2003. Computing with words" concept applied to musical information retrieval. Electronic Notes in Theoretical Computer Science, 82(4): 1-12.
120. Law C K. 1996. Using fuzzy numbers in educational grading systems. Fuzzy Sets and Systems, 83: 311-323.
121. Lee H M. 1996. Applying fuzzy set theory to evaluate the rate of aggregative risk in software development. Fuzzy Sets and Systems, 80: 323-336.
122. Levrat E, Voisin A, Bombardier S, et al. 1997. Subjective evaluation of car seat comfort with fuzzy set techniques. International Journal of Intelligent Systems, 12: 891-913.
123. Ma J, Fan Z P, Jiang Y P, et al. 2006. A method for repairing the inconsistency of fuzzy preference relations. Fuzzy Sets and Systems, 157: 20-33.
124. Ovchinnikov S. 1999. Invariance properties of ordinal OWA operators. International Journal of Intelligent Systems, 14: 413-418.
125. Saaty T L. 1980. The Analytic Hierarchy Process. New York: McGraw-Hill.
126. Tong R M, Bonissone P P. 1980. A linguistic approach to decision making with fuzzy sets. IEEE Transactions on Systems, Man, and Cybernetics, 10: 716-723.
127. Torra V. 1997. The weighted OWA operator. International Journal of Intelligent Systems, 12: 153-166.
128. Torra V. 2003. Information Fusion in Data Mining. Berlin: Springer.
129. Wang Z, Klir G. 1992. Fuzzy Measure Theory. New York: Plenum Press.
130. Xu R N, Zhai X Y. 1992. Extensions of the analytic hierarchy process in fuzzy environment. Fuzzy Sets and Systems, 52: 251-257.
131. Xu Z S, Chen J. 2008. Group decision-making procedures based on incomplete fuzzy preference relations. Soft Computing, 12: 515-521.
132. Xu Z S, Da Q L. 2002a. Multi-attribute decision making based on fuzzy linguistic assessments. Journal of Southeast University, 32: 656-658.
133. Xu Z S, Da Q L. 2002b. The uncertain OWA operator. International Journal of Intelligent Systems, 17: 569-575.
134. Xu Z S, Da Q L. 2002c. The ordered weighted geometric averaging operators. International Journal of Intelligent Systems, 17: 709-716.
135. Xu Z S, Da Q L. 2003a. Method based on fuzzy linguistic scale and fuzzy induced ordered weighted geometric averaging (FIOWGA) operator for decision making problems. Journal of Southeast University, 19: 88-91.
136. Xu Z S, Da Q L. 2003b. An overview of operators for aggregating information. International Journal of Intelligent Systems, 18: 953-969.
137. Xu Z S, Da Q L. 2005. A least deviation method to obtain a priority vector of a fuzzy preference relation. European Journal of Operational Research, 164: 206-216.
138. Xu Z S. 2000. A simulation-based evaluation of several scales in the analytic hierarchy process. Systems Engineering-Theory & Practice, 20(7): 58-62.
139. Xu Z S. 2001a. The least variance priority method (LVM) for fuzzy complementary judgment matrix. Systems Engineering-Theory & Practice, 21(1): 93-96.
140. Xu Z S. 2001b. Algorithm for priority of fuzzy complementary judgment matrix. Journal of Systems Engineering, 16(4): 311-314.
141. Xu Z S. 2004a. Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment. Information Sciences, 168: 171-184.
142. Xu Z S. 2004b. On method of multi-attribute group decision making under pure linguistic information. Control and Decision, 19(7): 778-781.
143. Xu Z S. 2004c. Method based on fuzzy linguistic assessments and GIOWA operator in multi-attribute group decision making. Journal of Systems Science and Mathematical Sciences, 24: 218-224.
144. Xu Z S. 2004d. Uncertain Multiple Attribute Decision Making: Methods and Applications. Beijing: Tsinghua University Press.
145. Xu Z S. 2004e. EOWA and EOWG operators for aggregating linguistic labels based on linguistic preference relations. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 12: 791-810.
146. Xu Z S. 2004f. A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Information Sciences, 166: 19-30.
147. Xu Z S. 2004g. Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation. International Journal of Approximate Reasoning, 36: 261-270.
148. Xu Z S. 2004h. Incomplete complementary judgment matrix. Systems Engineering-Theory & Practice, 24(6): 91-97.
149. Xu Z S. 2005a. An approach to pure linguistic multiple attribute decision making under uncertainty. International Journal of Information Technology and Decision Making, 4: 197-206.
150. Xu Z S. 2005b. An approach to group decision making based on incomplete linguistic preference relations. International Journal of Information Technology and Decision Making, 4: 153-160.
151. Xu Z S. 2005c. Deviation measures of linguistic preference relations in group decision making. Omega, 33: 249-254.
152. Xu Z S. 2005d. An overview of methods for determining OWA weights. International Journal of Intelligent Systems, 20: 843-865.
153. Xu Z S. 2006a. A note on linguistic hybrid arithmetic averaging operator in group decision making with linguistic information. Group Decision and Negotiation, 15: 581-591.
154. Xu Z S. 2006b. On generalized induced linguistic aggregation operators. International Journal of General Systems, 35: 17-28.
155. Xu Z S. 2006c. Induced uncertain linguistic OWA operators applied to group decision making. Information Fusion, 7: 231-238.
156. Xu Z S. 2006d. A direct approach to group decision making with uncertain additive linguistic preference relations. Fuzzy Optimization and Decision Making, 5: 23-35.
157. Xu Z S. 2006e. An approach based on the uncertain LOWG and the induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations. Decision Support Systems, 41: 488-499.
158. Xu Z S. 2006f. Goal programming models for multiple attribute decision making under linguistic setting. Journal of Management Sciences in China, 9: 9-17.
159. Xu Z S. 2006g. Incomplete linguistic preference relations and their fusion. Information Fusion, 7: 331-337.
160. Xu Z S. 2006h. A practical procedure for group decision making under incomplete multiplicative linguistic preference relations. Group Decision and Negotiation, 15: 593-604.
161. Xu Z S. 2006i. Multiple attribute decision making based on different types of linguistic information. Journal of Southeast University, 22(1): 134-136.
162. Xu Z S. 2007a. A method for multiple attribute decision making with incomplete weight information in linguistic setting. Knowledge-Based Systems, 20: 719-725.
163. Xu Z S. 2007b. Linguistic aggregation operators: an overview. In: Bustince H, Herrera F, Montero J. eds. Fuzzy Sets and Their Extensions: Representation, Aggregation and Models. Heidelberg: Springer. 163-181.
164. Xu Z S. 2007c. A survey of preference relations. International Journal of General Systems, 36: 179-203.
165. Xu Z S. 2007d. Dynamic linguistic preference relations and their use in multi-period decision making. In: International Conference on Management Science and Engineering. Proceedings of 2007 International Conference on Management Science and Engineering. Harbin, China, 345-350.
166. Xu Z S. 2009a. Multi-period multi-attribute group decision making under linguistic assessments. International Journal of General Systems, 38: 823-850.
167. Xu Z S. 2009b. Correlated linguistic information aggregation. International Journal of Uncertainty, Fuzziness and Knowledge-Based System, 17: 633-647.
168. Yager R R, Filev D P. 1999. Induced ordered weighted averaging operators. IEEE Transactions on Systems, Man, and Cybernetics-Part B, 29: 141-150.
169. Yager R R, Goldstein L S, Mendels. 1994. Fuzmar: an approach to aggregating market research data based on fuzzy reasoning. Fuzzy Sets and Systems, 68: 1-11.
170. Yager R R, Kacprzyk J. 1997. The Ordered Weighted Averaging Operators: Theory and Applications. Boston: Kluwer.
171. Yager R R, Rybalov A. 1997. Understanding the median as a fusion operator. International Journal of General Systems, 26: 239-263.
172. Yager R R, Xu Z S. 2006. The continuous ordered weighted geometric operator and its application to decision making. Fuzzy Sets and Systems, 157: 1393-1402.
173. Yager R R. 1988. On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Transactions on Systems, Man, and Cybernetics, 18: 183-190.
174. Yager R R. 1992. Applications and extensions of OWA aggregations. International Journal of Man-Machine Studied, 37: 103-132.
175. Yager R R. 1993. Families of OWA operators. Fuzzy Sets and Systems, 59: 125-145.
176. Yager R R. 1995. An approach to ordinal decision making. International Journal of Approximate Reasoning, 12: 237-261.
177. Yager R R. 1996. Quantifier guided aggregation using OWA operators. International Journal of Intelligent Systems, 11: 49-73.
178. Yager R R. 1998. Fusion of ordinal information using weighted median aggregation. International Journal of Approximate Reasoning, 18: 35-52.
179. Yager R R. 2004. OWA aggregation over a continuous interval argument with applications to decision Making. IEEE Transaction on Systems, Man, and Cybernetics-Part B, 34: 1952-1963.
180. Yager R R. 2007a. Centered OWA operators. Soft Computing, 11: 631-639.
181. Yager R R. 2007b. Time series smoothing and OWA aggregation. Technical Report# MII-2701, Machine Intelligence Institute, Iona College, New Rochelle, NY.
182. Zadeh L A, Kacprzyk J, eds. 1999a. Computing with Words in Information/Intelligent Systems 1: Foundations. Heidelberg: Physica-Verlag.
183. Zadeh L A, Kacprzyk J, eds. 1999b. Computing with Words in Information/Intelligent Systems 2: Applications. Heidelberg: Physica-Verlag.
184. Zadeh L A. 1983. A computational approach to fuzzy quantifiers in natural languages. Computers & Mathematics with Applications, 9: 149-184.
185. Zhang H M, Xu Z S. 2005. Uncertain linguistic information based C-OWA and C-OWG operators and their applications. Journal of PLA University of Science and Technology, 6(6): 604-608.
186. Cai L C, Deng X J. 1996. An approach to constructing judgment matrix with desirable consistency in AHP. In: Sun H C. ed. Decision Science and Its Application. Beijing: Haiyang Press: 88-91.
187. Chan F T S, Kumar N. 2007. Global supplier development considering risk factors using fuzzy extended AHP-based approach. Omega, 35: 417-431.
188. Chen Y, Fan Z P. 2005. Study on the adverse judgment problem for group decision making based on linguistic judgment matrices. Journal of Systems Engineering, 20(2): 211-215.
189. Chiclana F, Herrera F, Herrera-Viedma E, et al. 2003. A note on the reciprocity in the aggregation of fuzzy preference relations using OWA operators. Fuzzy Sets and Systems, 137: 71-83.
190. Delgado M, Herrera F, Herrera-Viedma E, et al. 1998. Combining numerical and linguistic information in group decision making. Information Sciences, 107: 177-194.
191. Fan Z P, Xiao S H. 2002. The consistency and ranking method for comparison matrix with linguistic assessment. Systems Engineering-Theory & Practice, 22(5): 87-91.
192. Herrera F, Herrera-Viedma E, Chiclana F. 2003. A study of the origin and uses of the ordered weighted geometric operator in multicriteria decision making. International Journal of Intelligent Systems, 18: 689-707.
193. Herrera F, Herrera-Viedma E, Verdegay J L. 1995. A sequential selection process in group decision making with a linguistic assessment approach. Information Sciences, 85: 223-239.
194. Herrera F, Herrera-Viedma E, Verdegay J L. 1996a. A model of consensus in group decision making under linguistic assessments. Fuzzy Sets and Systems, 78: 73-87.
195. Herrera F, Herrera-Viedma E, Verdegay J L. 1996b. Direct approach processes in group decision making using linguistic OWA operators. Fuzzy Sets and Systems, 79: 175-190.
196. Herrera F, Herrera-Viedma E, Verdegay J L. 1997. A rational consensus model in group decision making using linguistic assessments. Fuzzy Sets and Systems, 88: 31-49.
197. Herrera F, Herrera-Viedma E. 1997. Aggregation operators for linguistic weighted information. IEEE Transactions on Systems, Man, and Cybernetics-Part A, 27: 646-656.
198. Herrera F, Herrera-Viedma E. 2000. Choice functions and mechanisms for linguistic preference relations. European Journal of Operational Research, 120: 144-161.
199. Herrera F, Herrera-Viedma E. 2003. Linguistic preference modeling: foundation models and new trends. In: Proceedings of 4th International Workshop on Preferences and Decisions, Trento, Italy 47-51.
200. Herrera F, Martínez L, Sánchez P J. 2005. Managing non-homogeneous information in group decision making. European Journal of Operational Research, 166: 115-132.
201. Ngwenyama O, Bryson N. 1999. Eliciting and mapping qualitative preferences to numeric rankings in group decision making. European Journal of Operational Research, 116: 487-497.
202. Xu Z S, Wu D. 2004. Method based on fuzzy linguistic judgment matrix and fuzzy induced ordered weighted averaging (FIOWA) operator for decision-making problems with a limited set of alternatives. Fuzzy Systems and Mathematics, 18(1): 76-80.
203. Xu Z S. 2004a. EOWA and EOWG operators for aggregating linguistic labels based on linguistic preference relations. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 12: 791-810.
204. Xu Z S. 2004b. A method based on linguistic aggregation operators for group decision making with linguistic preference relations. Information Sciences, 166: 19-30.
205. Xu Z S. 2004c. Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation. International Journal of Approximate Reasoning, 36: 261-270.
206. Xu Z S. 2004d. Incomplete complementary judgment matrix. Systems Engineering-Theory & Practice, 24(6): 91-97.
207. Xu Z S. 2005a. An approach to group decision making based on incomplete linguistic preference relations. International Journal of Information Technology and Decision Making, 4: 153-160.
208. Xu Z S. 2005b. Deviation measures of linguistic preference relations in group decision making. Omega, 33: 249-254.
209. Xu Z S. 2005c. An overview of methods for determining OWA weights. International Journal of Intelligent Systems, 20: 843-865.
210. Xu Z S. 2006a. A direct approach to group decision making with uncertain additive linguistic preference relations. Fuzzy Optimization and Decision Making, 5: 23-35.
211. Xu Z S. 2006b. An approach based on the uncertain LOWG and the induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations. Decision Support Systems, 41: 488-499.
212. Xu Z S. 2006c. Incomplete linguistic preference relations and their fusion. Information Fusion, 7: 331-337.
213. Xu Z S. 2006d. A practical procedure for group decision making under incomplete multiplicative linguistic preference relations. Group Decision and Negotiation, 15: 593-604.
214. Xu Z S. 2007a. A survey of preference relations. International Journal of General Systems, 36: 179-203.
215. Xu Z S. 2007b. Dynamic linguistic preference relations and their use in multi-period decision making. In: reduplicative. Proceedings of 2007 International Conference on Management Science and Engineering. Harbin, China, 345-350.
216. Xu Z S. 2008. Group decision making based on multiple types of linguistic preference relations. Information Sciences, 178: 452-467.
217. Xu Z S. 2010. Interactive group decision making procedure based on uncertain multiplicative linguistic preference relations. Journal of Systems Engineering and Electronics, 21: 408-415.
218. Yager R R. 1993. Families of OWA operators. Fuzzy Sets and Systems, 59: 125-145.
219. Zhang H M, Xu Z S. 2006. Study on the symmetry properties of weighting vectors of information aggregation operators. Systems Engineering-Theory & Practice, 26(3): 75-82.
220. Bryson N, Mobolurin A. 1995. An action learning evaluation procedure for multiple criteria decision making problems. European Journal of Operational Research, 96: 379-386.
221. Chen S J, Hwang C L. 1992. Fuzzy Multiple Attribute Decision Making: Methods and Applications. Berlin: Springer-Verlag.
222. Fodor J C, Roubens M. 1994. Fuzzy Preference Modeling and Multicriteria Decision Support. Dordrecht: Kluwer.
223. French S, Hartley R, Thomas L C, et al. 1983. Multi-objective Decision Making. New York: Academic Press.
224. Gao F J. 2000. Multiple attribute decision making on plans with alternative preference under incomplete information. Systems Engineering-Theory & Practice, 20(4): 94-97.
225. Herrera F, Herrera-Viedma E, Martínez L. 2000. A fusion approach for managing multi-granularity linguistic term sets in decision making. Fuzzy Sets and Systems, 114: 43-58.
226. Herrera F, Martínez L. 2000. An approach for combining linguistic and numerical information based on the 2-tuple fuzzy linguistic representation model in decision-making. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 8: 539-562.
227. Hwang C L, Yoon K. 1981. Multiple Attribute Decision Making. Berlin: Springer-Verlag.
228. Keeney R L, Raiffa H. 1976. Decisions with Multiple Objectives: Preferences and Value Tradeoffs. New York: Wiley.
229. Kim S H, Ahn B S. 1999. Interactive group decision making procedure under incomplete information. European Journal of Operational Research, 116: 498-507.
230. Kim S H, Choi S H, Kim J K. 1999. An interactive procedure for multiple attribute group decision making with incomplete information: range-based approach. European Journal of Operational Research, 118: 139-152.
231. Li S C, Chen J D, Zhao H G. 2001. Studying on the method of appraising qualitative decision indication system. Systems Engineering-Theory & Practice, 21(9): 22-32.
232. Olcer A I, Odabasi A Y. 2005. A new fuzzy multiple attribute group decision making methodology and its application to propulsion/manoeuvring systems selection problem. European Journal of Operational Research, 166: 93-114.
233. Park K S, Kim S H. 1997. Tools for interactive multi-attribute decision making with incompletely identified information. European Journal of Operational Research, 98: 111-123.
234. Saaty T L. 1980. The Analytic Hierarchy Process. New York: McGraw-Hill.
235. Song F M, Chen T T. 1999. Research on index system of appraisal of high-tech investment projects. China Soft Science Magazine, 1: 90-93.
236. Wang Y M, Fu G W. 1993. Multi-criteria decision making with limited alternatives by using the method for multi-objective decision making with unlimited alternatives. Control and Decision, 8(1): 25-29.
237. Xu J P, Wu W. 2006. Multiple Attribute Decision Making Theory and Methods. Beijing: Tsinghua University Press.
238. Xu X Z. 2004. A note on the subjective and objective integrated approach to determine attribute weights. European Journal of Operational Research, 156: 530-532.
239. Xu Z S, Chen J. 2007. An interactive method for fuzzy multiple attribute group decision making. Information Sciences, 177: 248-263.
240. Xu Z S. 2004. Uncertain Multiple Attribute Decision Making: Methods and Applications. Beijing: Tsinghua University Press.
241. Xu Z S. 2005. Maximizing deviations procedure for multiple attribute decision making under linguistic environment. Lecture Series on Computer and Computational Sciences, 2: 150-154.
242. Xu Z S. 2006a. Goal programming models for multiple attribute decision making under linguistic setting. Journal of Management Sciences in China, 9: 9-17.
243. Xu Z S. 2006b. Multiple attribute decision making based on different types of linguistic information. Journal of Southeast University, 22(1): 134-136.
244. Xu Z S. 2007a. A method for multiple attribute decision making with incomplete weight information in linguistic setting. Knowledge-Based Systems, 20: 719-725.
245. Xu Z S. 2007b. An interactive procedure for linguistic multiple attribute decision making with incomplete weight information. Fuzzy Optimization and Decision Making, 6: 7-27.
246. Yager R R, Kacprzyk J. 1997. The Ordered Weighted Averaging Operators: Theory and Applications. Boston: Kluwer.
247. Zeeny M. 1982. Multiple Criteria Decision Making. New York: McGraw-Hill.
248. Zhang H M, Xu Z S. 2005. Uncertain linguistic information based C-OWA and C-OWG operators and their applications. Journal of PLA University of Science and Technology, 6(6): 604-608.
249. Zimmermann H J, Zysco P. 1980. Latent connectives in human decision making. Fuzzy Sets and Systems, 4: 37-51.