Principal Fuzzy Type Theories for Fuzzy Logic in Broader Sense

Vilém Novák.

In this paper, we briefly discuss the concept of fuzzy logic in broader sense and its present stage of development. Furthermore, we introduce a special algebra called EQ-algebra in which the basic operation is that of fuzzy equality. Then we introduce axiomatics of a new core fuzzy type theory -IEQ-FTT- and demonstrate how three principal fuzzy type theories, namely IMTL- , Lukasiewicz, and BL- can be derived from it.

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