Anotation:
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.