GENERALIZED FUZZY ψ^*-CLOSED SETS IN FUZZY BITOPOLOGICAL SPACES

Abstract

In this paper, we introduce and study a new class of fuzzy sets in a fuzzy bitopological space , namely, -fuzzy -closed sets, which settled properly in between the class of -fuzzy -closed sets and the class of -fuzzy -closed sets. We also introduce and study new classes of spaces, namely, -  spaces, -  spaces, -  spaces, -  spaces and -  spaces. As applications of -fuzzy -closed sets, we introduce and study four new classes of spaces, namely, -  spaces, -  spaces (both classes contain the class of -  spaces), -  spaces and -  spaces. The class of -  spaces is properly placed in between the class of -  spaces and the class of -  spaces. It is shown that dual of the class of -  spaces to the class of -  spaces is the class of -  spaces and the dual of the class of -  spaces to the class of -  spaces is the class of -  spaces and also that the dual of the class -  spaces to the class of -  spaces is the class of -  spaces. Further we introduce and study -fuzzy continuous functions and -fuzzy  irresolute functions.