Abstract
In this paper, we introduce subspace of a fuzzy closure space, sum of a family of pairwise disjoint fuzzy closure spaces and product of a family of fuzzy closure spaces, for the fuzzy closure spaces defined in Srivastava et al., 1994. We also introduce the notion of a T 1-fuzzy closure space. We have studied here T 0- (introduced earlier in Srivastava et al., 1994) and T 1-fuzzy closure spaces in detail. Several results have been proved which establish the appropriateness of the definitions. In particular, we observe that T 0 and T 1 satisfy the hereditary, productive and projective properties and in addition, both are “good extensions” of the corresponding concepts in a closure space.
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