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.
Highlights
The paper contains a study of fuzzy O-closure operator, O-closures of fuzzy sets in a fuzzy topological space are characterized and some of their properties along with their relation with fuzzy -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 Oclosures and -closures
It is well-known that the concepts of O-closure and 5-closure,are useful tools in standard topology in the study of H-closed spaces, Katetov’s and H-closed extensions, generalizations of Stone-Weierstrass’ theorem etc
Summary
It is well-known that the concepts of O-closure and 5-closure,are useful tools in standard topology in the study of H-closed spaces, Katetov’s and H-closed extensions, generalizations of Stone-Weierstrass’ theorem etc. Of a fuzzy set A iff closures of every open q-nbd (a) is called a O-cluster point of the fuzzy net iff for every open q-nbd W of x, and for any (b) The fuzzy net is said to be O-converge to
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