Field theory and modal logic by semantic fields to make uncertainty emerge from information

International Journal of General Systems

Volumn 29, Issue 5, 2000, Pages 737-782

  Resconi, Germano ^a   Murai, Tetsuya ^b   Shimbo, Masaru ^b  

^a UNIVERSITÀ CATTOLICA DEL SACRO CUORE   (Italy)

^b HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

HIERARCHICAL SYSTEMS; LINGUISTICS; LOGIC PROGRAMMING; MATHEMATICAL MODELS; MODAL ANALYSIS; SET THEORY; UNCERTAIN SYSTEMS;

ACCESSIBILITY RELATIONS; FIELD THEORY; HIERARCHICAL UNCERTAINTY METATHEORY; MODAL LOGIC; SEMANTIC FIELDS;

SYSTEM THEORY;

EID: 0034507466     PISSN: 03081079     EISSN: None     Source Type: Journal    
DOI: 10.1080/03081070008960971     Document Type: Article

References (31)

1. Boutilier, C. (1994), "Modal logic for qualitative possibility theory." Int. J. Approximate Reasoning, 10, 173-201.
2. Chellas, B.F. (1980), Modal Logic: An Introduction. Cambridge University Press, Cambridge.
3. Dubois, D. and Prade, H. (1995), "Conditional objects, possibility theory and default rules." In: Conditionals: From Philosophy to Computer Science, edited by G. Crocco, L. Farinas del Cerro and A. Herzig, Studies in Logic and Computation, Vol. 5, Kluwer, Dordrecht, pp. 301-336.
4. Dubois, D., Prade, H. and Testemale, C. (1988), "In search of a modal system for possibility theory." In: Proceedings of the 8th European Conference on Artificial Intelligence, pp. 501 -508.
5. Hajek, P. and Harmancova, D. (1993), "A comparative fuzzy modal logic." In: Fuzzy Logic in Artificial Intelligence, edited by E.P. Klement and W. Slany, Lecture Note in Artificial Intelligence, Vol. 695, Springer, pp. 27-34.
6. Hajek, P., Harmancova, D. and Verbrugge, R. (1995), "A qualitative fuzzy possibilistic logic." Int. J. Approximate Reasoning, 12, 1-19.
7. Harmanec, D., Klir, G.J. and Resconi, G. (1994), "On modal logic interpretation of Dempster-Shafer theory of evidence." Int. J. Intelligent Systems, 9, 941-951.
8. Hughes, G.E. and Cresswell, M.J. (1968), An Introduction to Modal Logic. Methuen, London.
9. Hughes, G.E. and Cresswell, M.J. (1996), A New Introduction to Modal Logic. Routledge, London.
10. Klir, G.J. and Harmanec, D. (1994), "On modal logic interpretation of possibility theory." Int. J. Uncertainty, Fuzzincss and Knowledge-Based Systems, 2, 237-245.
11. Lewis, D. (1976), "Probabilities of conditionals and conditional probabilities." Philosophical Review, 85, 297-315.
12. Liau, C.J. and Lin, B.I.P. (1993), "Proof methods for reasoning about possibility and necessity." Int. J. Approximate Reasoning, 9, 327-364.
13. Mignani, R., Pessa, E. and Resconi, G. (1997), "Non-conservative gravitational equations." General Relativity and Gravitation, 29(8), 1049-1073.
14. Morikawa, O. (1994), "A sequential formulation of a logic based on fuzzy modalities." Fuzzy Sets and Systems, 63, 181-185.
15. Muirhead, H. (1968), The Physics of Elementary Particles, Pergamon Press.
16. Murai, T., Nakata, M. and Shimbo, M. (1996), "Ambiguity, inconsistency, and possibleworlds: A new logical approach." In: Proceedings of the Ninth Conference on Intelligence Technologies in Human-Related Sciences, Leon, Spain, pp. 177-184.
17. Murai, T., Kanemitsu, H. and Shimbo, M. (1998), "Fuzzy sets and binary-proximitybased rough sets." Information Sciences, 104(1/2), 49-80.
18. Nakamura, A. (1992), "On a logic based on fuzzy modalities." In: Proceedings of the 22nd Multiple-Valued Logic, pp. 460-466.
19. Pauli, W. (1921), "Relativitätstheorie." In: Encyklopadie der mathematishen Wissenschaften, Vol. 5, No. 19, Teubner Lipsia.
20. Resconi, G. and Jessel, M. (1986), "General system logical theory." Int. J. General Systems, 12, 159-182.
21. Resconi, G. and Rovetta, R. (1994), "Fuzzy sets and evidence theory in a metatheory based upon modal logic." Quaderni del Seminario Matematico di Brescia, No. 5.
22. Resconi, G., Klir, G.J. and Clair, U.St. (1992), "Hierarchical uncertainty metatheory based upon modal logic." Int. J. General Systems, 21, 23-50.
23. Resconi, G., Klir, G.J., Clair, U.St. and Harmanec, D. (1993), "On the integration of uncertainty theories." Int. J. Uncertainty, Fuzziness and Knowledge-Based Systems, 1, 1-18.
24. Resconi, G., Klir, G.J., Harmanec, D. and Clair, U.St. (1996), "Interpretations of various uncertainty theories using models of modal logics: A summary." Fuzzy Sets and Systems, 80, 7-14.
25. Ruspini, E. (1989), "The semantics of vague knowledge." In: Revue Internationale de Systemique, 3, 387-420.
26. Shafer, G. (1976), A Mathematical Theory of Evidence. Princeton University Press.
27. Sowa, J.F. (1999), Knowledge Representation: Logical, Philosophical, and Computational Foundation. PWS Publishing Co., Pacific Grove, CA.
28. Thiele, H. (1993), "On the definition of modal operators in fuzzy logic." In: Proceedings of the 23rd Multiple-Valued Logic, pp. 62-67.
29. Thiele, H. and Kalenka, S. (1993), "On fuzzy temporal logic." In: Proceedings of the 2nd International Conference on Fuzzy Systems, pp. 1027-1032.
30. Wille, R. (1989), "Lattices in data analysis: How to draw them with a computer." In: Algorithms and Order, edited by I. Rival, Kluwer, Dordrecht, pp. 33-58.
31. Zadeh, L.A. (1986), "A simple view on the Dempster-Shafer theory of evidence and its implication for the rule of combination." AI Magazine, 7, 85-90.