• ON FUZZY PAIRWISE-T_0 AND FUZZY PAIRWISE-T_1 BICLOSURE SPACES

Abstract

The purpose of this paper is to introduce the concept of fuzzy biclosure space as a natural generalization of fuzzy closure space defined in [5] and also introduce and study the separation axioms viz. FP  and FP  in it. The notion of subspace of fuzzy biclosure space, sum of family of pairwise disjoint fuzzy biclosure spaces and product of a family of a fuzzy biclosure space are also introduced and studied the concept of -fuzzy biclosure space and -fuzzy biclosure space. We obtain some important results which establish the appropriateness of definition. In particular, we find that  satisfy the hereditary, productive and projective properties. Both  fuzzy biclosure space are “good extensions” of the corresponding concepts in a biclosure spaces.