On T-0- and T-1-fuzzy closure spaces
In this paper, we introduce subspace of a fuzzy closure space, sum of a family of painwise 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. (C) 2000 Elsevier Science B.V. All rights reaerved.
t-1-fuzzy closure space fuzzy closure space subspace good extension sum fuzzy closure space product fuzzy closure space t-0-fuzzy closure space