A Normative Approach to Fuzzy Logic Reasoning Using Residual Implications

摘要

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