FUZZY α-????* - HOMOTOPY AND FUZZY α-????* - COVERING SPACES

FUZZY α-????* - HOMOTOPY AND FUZZY α-????* - COVERING SPACES

M. Rowthri, B. Amudhambigai

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Abstract

In this paper, the concepts of fuzzy α-ψ∗-homotopies and fuzzy α-ψ∗-path homotopies are introduced. The intend of this article is to study the concepts of α-ψ∗- fundamental group in a fuzzy topological space and fuzzy α-ψ∗-covering spaces. Many properties concerning these concepts are provided.

Keywords

Fuzzy α-ψ∗-homotopies, Fuzzy α-ψ∗-paths, Fuzzy α-ψ∗-loops, Fuzzy α-ψ∗- path homotopy, and Fuzzy α-ψ∗-covering spaces.