The Equality of Inference Results Using Fuzzy Implication and Conjunctive Interpretations of the If-Then Rules Under Defuzzification
A specific type of equivalence of inference results under defuzzification between logical implication interpretation and conjunctive interpretation of the fuzzy if-then rules has been considered in this paper. The theoretical considerations are illustrated by means of numerical examples in the field of fuzzy modeling.
KeywordsInference System Inference Algorithm Aggregation Operation Inference Result Approximate Reasoning
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- 1.O.Cordon, F. Herrera, A. Peregrin: Applicability of the fuzzy operators in the design of fuzzy logic controllers, Fuzzy Sets and Systems 86 (1997)15–41Google Scholar
- 2.E.Czogala, J.Leski: An equivalence of approximate reasoning under defuzzification, BUSEFAL 74 (1998) 83–92Google Scholar
- 3.E. Czogala, R. Kowalczyk: Investigation of selected fuzzy operations and implications in engineering, Fifth IEEE Int. Conf. on Fuzzy Systems (1996) 879–885Google Scholar
- 7.E. Kerre: A comparative study of the behavior of some popular fuzzy implication operators on the generalized modus ponens, in: L. Zadeh and J. Kacprzyk, Eds., Fuzzy Logic for the Management of Uncertainty, Wiley, New York (1992) 281–295Google Scholar