Reducing t-norms and augmenting t-conorms

International Journal of General Systems

Volumn 31, Issue 3, 2002, Pages 265-276

  Detynieckt, Margin ^a,c   Yager, Ronald R ^b,d,e,f,g   Bouchon Meunier, Bernadette ^a,h  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b MACHINE INTELLIGENCE INSTITUTE   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d IONA COLLEGE   (United States)

^e IEEE   (United States)

^f Fuzzy Systems Association   (United States)

^g NEW YORK ACADEMY OF SCIENCES   (United States)

^h CNRS   (France)

Author keywords

Aggregation operators; Fuzzy logic; Information fusion; t norms

Indexed keywords

AGGREGATION OPERATORS; INFORMATION FUSION; T-NORMS;

COMPUTATIONAL METHODS; FUZZY SETS; PARAMETER ESTIMATION;

MATHEMATICAL OPERATORS;

EID: 27744563955     PISSN: 03081079     EISSN: 15635104     Source Type: Journal    
DOI: 10.1080/03081070290005186     Document Type: Article

References (21)

1. Alsina, C., Trillas, E. and Valverde, L. (1983) "On some logical connectives for fuzzy set theory", J. Math. Anal. Appl. 93, 15-26.
2. Detyniecki, M., "Mathematical aggregation operators and their application to video querying" Doctoral Thesis Report #2001-02 Pierre and Marie Curie Computer Science Laboratory, University of Paris VI (Paris, France).
3. Detyniecki, M., Seyrat, C. and Yager, R.R. (1999). "Interacting with web video objects." Proceedings of the 18th Conference of the North American Fuzzy Information Processing Society (NAFIPS), New York, pp. 914-917.
4. Dubois, D. and Prade, H. (1981). "Triangular norms for fuzzy sets." Proceedings Second International Symposium of Fuzzy Sets. Linz. pp. 39-68.
5. Dubois, D. and Prade, H. (1985) "A review of fuzzy sets aggregation connectives". Inf. Sci. 36, 85-121.
6. Frank, MJ. (1979) "On the simultaneous associativity of F(x,y) and x + y - F(x,y)", Aequationes Math. 19, 194-226.
7. Harnacher, H. (1976). "On logical connectives of fuzzy statements." Proceedings Third European Meeting Cybernetics and Systems, Vienna, pp. 276-287.
8. Hohle, U. (1982) "Probabilistic metrization of fuzzy topologies", Fuzzy Sets and Systems 8, 63-69.
9. Klement, E.P. (1982) "A theory of fuzzy measures: a survey", In: Gupta, M., ed. Fuzzy Information and Decision Processes (M. and E. Sanchez, Amsterdam, North Holland), pp 59-66.
10. Klement, E.P., Mesiar, R. and Pap, E. (2000) Triangular Norms (Kluwer Academic Publishers, Dordrecht).
11. Klir, G.J. and Folger, T.A. (1988) Fuzzy Sets, Uncertainty and Information (Prentice-Hall, Englewood Cliffs, NJ).
12. Ling, C. (1965) "Representation of associative function", Publ. Math. Debrecen 12, 189-212.
13. Menger, K. (1942) "Statistical metrics", Proc. Natl Acad. Sci. 8, 535-537.
14. Mesiar, R. and Komornícová, M. (1997), "Aggregation operators." Proceedings XI Conf. On Applied Mathematics PRIM'96, Institute of Mathematics, Novi Sad, pp. 193-211.
15. Schweizer, B. and Sklar, A. (1960) "Statistical metric spaces", Pacific J. Math. 10, 313-334.
16. Schweizer, B. and Sklar, A. (1983). Probabilistic Metric Spaces, North Holland, New York.
17. Sugeno, M., "Theory of fuzzy integrals and its application" Doctoral Thesis, Tokyo Institute of Technology (Japan).
18. Weber, S. (1983) "A general concept of fuzzy connectives, negations and implications", Fuzzy Sets and Systems 11, 115-134.
19. Yager, R.R. (1980) "On a general class of fuzzy connectives", Fuzzy Sets and Systems 4, 235-242.
20. Yager, R.R. (1987) "Quasi-associative operations in the combination of evidence" Kybernetes 16, 37-41.
21. Yager, R.R. (1997) "Fuzzy temporal methods for video multimedia information systems", J. Adv. Comput. Intellig. 1, 37-45.