On a class of distributive fuzzy implications

International Journal of Uncertainty, Fuzziness and Knowldege-Based Systems

Volumn 9, Issue 2, 2001, Pages 229-238

  Baczyński, Michal ^a  

^a UNIVERSITY OF SILESIA   (Poland)

Author keywords

Conjugate implications; Functional equation; Fuzzy implication; Strict t norm

Indexed keywords

EID: 0012660682     PISSN: 02184885     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218488501000764     Document Type: Article

References (11)

1. D. Dubois and H. Prade, "Fuzzy sets in approximate reasoning. Part 1: Inference with possibility distributions", Fuzzy Sets and Systems 40 (1991) 143-202.
2. E.P. Klement, R. Mesiar and E. Pap, Triangular Norms (Kluwer, Dordrecht, 2000).
3. J.C. Fodor and M. Roubens, Fuzzy Preference Modelling and Multicriteria Decision Support (Kluwer, Dordrecht, 1994).
4. B. De Baets and R. Mesiar, "Residual implicators of continuous t-norms", Proc. EUFIT '96, Aachen, Germany (1996) 27-31.
5. P. Smets and P. Magrez, "Implication in fuzzy logic", Internat. J. Approx. Reason. 1 (1987) 327-347.
6. M. Baczyński, "Characterization of Dienes implication", in: Computational Inteligence: Theory and Applications, ed. B. Reusch (Lecture Notes in Comput. Sci., Vol. 1625, Springer, New York-Berlin, 1999), 299-305.
7. I.B. Türksen, V. Kreinovich and R.R. Yager, "A new class of fuzzy implications. Axioms of fuzzy implication revisited", Fuzzy Sets and Systems 100 (1998) 267-272.
8. R.R. Yager, "An approach to inference in approximate reasoning", Internat. J. Man-Machine Studies 13 (1980) 323-338.
9. M. Baczyński and J. Drewniak, "Conjugacy classes of fuzzy implication", in: Computational Inteligence: Theory and Applications, ed. B. Reusch (Lecture Notes in Comput. Sci., Vol. 1625, Springer, New York-Berlin, 1999), 287-298.
10. B. Schweizer and A. Sklar, Probabilistic Metric Spaces (North-Holland, Amsterdam, 1983).
11. M. Kuczma, An Introduction to the Theory of Functional Equations and Inequalities. Cauchy's Equations and Jensen's Inequality. (PWN & Silesian University, Warszawa-Kraków-Katowice, 1985).