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

M. N. Mukherjee and S. P. Sinha

Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta 700 019, India

Received 1 March 1988; Revised 16 August 1990

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.