BAIR'S THEOREM FOR FUZZY METRIC SPACE AND ITS APPLICATION

In this paper we using the idea of fuzzy sets and prove the another version of Baire's theorem in fuzzy metric space due to Hu Cheng-Ming [2]. Later afterwards introduce definition of fuzzy Baire measurability, then, state and prove some results of this notion, in using to the automatic continuity of some fuzzy group homomorphisms

Keywords:

Fuzzy set , Baire's theorem , Fuzzy metric space , Fuzzy Baire measurability , Automatic continuity , Fuzzy group homomorphisms