Abstract
In this paper, we introduce a new class of fuzzy sets, namely, fuzzy ψ*-closed sets for fuzzy topological spaces, and some of their properties have been proved. Further, we introduce fuzzy ψ*-continuous, fuzzy ψ*-irresolute functions, and fuzzy ψ*-closed (open) functions, as applications of these fuzzy sets, fuzzy T1/5-spaces, fuzzy {T}_{1/5}^{psi ast } -spaces, and fuzzy ψ*T1/5-spaces.
Highlights
Zadeh [1] introduced the fundamental concept of fuzzy sets and fuzzy set operations in 1965
Many researchers have worked on various basic concepts from general topology using fuzzy sets and developed the theory of fuzzy topological spaces [3,4,5,6,7]
Fuzzy ψ*-continuous and fuzzy ψ*-irresolute functions in FTS As application of fuzzy ψ*-closed set, we identify some types of fuzzy functions and introducing some of their properties
Summary
Zadeh [1] introduced the fundamental concept of fuzzy sets and fuzzy set operations in 1965. In the “Fuzzy ψ*-closed sets in fts” section, we introduce the definition of fuzzy ψ*-closed sets in fuzzy topological spaces and proved some of their properties. Definition 2.2 A fuzzy set D of a fts G is called fuzzy generalized α-closed (briefly, Fgα-closed) [8] if αcl(D) ≤ U whenever D ≤ U and U is fuzzy α-open in (G, τ). Definition 3.1 A fuzzy set D in (G, τ) is called fuzzy ψ*-closed (Fψ*-closed) if αcl(D) ≤ U whenever D ≤ U and U is Fgα-open in (G, τ).
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
