A Normative Approach to Fuzzy Logic Reasoning Using Residual Implications

Yahachiro TSUKAMOTO · Journal of Advanced Computational Intelligence and Intelligent Informatics · 2009

Logical problems with fuzzy implications have been investigated minutely (Baczynski and Jayaram [1]). Considering some of the normative criteria to be met bygeneralized modus ponens, we have formulated a method of fuzzy reasoning based on residual implication. Among these criteria, the specificity possessed by the conclusion deduced bygeneralized modus ponensshould not be stronger than that of the consequent in the fuzzy implication.

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