International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 2, Pages 309-314
doi:10.1155/S0161171291000364
Fuzzy θ-closure operator on fuzzy topological spaces
Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta 700 019, India
Received 1 March 1988; Revised 16 August 1990
Copyright © 1991 M. N. Mukherjee and S. P. Sinha. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The paper contains a study of fuzzy θ-closure operator, θ-closures of fuzzy sets in a
fuzzy topological space are characterized and some of their properties along with their relation with
fuzzy δ-closures are investigated. As applications of these concepts, certain functions as well as
some spaces satisfying certain fuzzy separation axioms are characterized in terms of fuzzy θ-closures
and δ-closures.