Abstract
In this article, the concept of neutrosophic homeomorphism and neutrosophic αψ homeomorphism in neutrosophic topological spaces is introduced. Further, the work is extended as neutrosophic αψ∗ homeomorphism, neutrosophic αψ open and closed mapping and neutrosophic Tαψ space in neutrosophic topological spaces and establishes some of their related attributes.
Highlights
Zadeh [1] introduced the fuzzy set in 1965, the elements used of which in the fuzzy set had only the degree of membership
Atanassav [2] introduced the intuitionistic fuzzy set in 1983. Both the fuzzy set and intuitionistic fuzzy set used all the elements that had the degree of membership and degree of non-membership
Salama and Alblowi [3] introduced the new concept of neutrosophic topological space (NTS) in 2012, which had been investigated recently
Summary
Zadeh [1] introduced the fuzzy set in 1965, the elements used of which in the fuzzy set had only the degree of membership. Atanassav [2] introduced the intuitionistic fuzzy set in 1983 Both the fuzzy set and intuitionistic fuzzy set used all the elements that had the degree of membership and degree of non-membership. Salama and Alblowi [3] introduced the new concept of neutrosophic topological space (NTS) in 2012, which had been investigated recently. Studied the concept of minimal αψ closed sets in minimal structure spaces Parimala et al [9]. The purpose of this article is to introduce the idea of neutrosophic homeomorphism and neutrosophic αψ homeomorphism in neutrosophic topological spaces and establish some of their attributes It establishes the notion of neutrosophic αψ∗ homeomorphism, neutrosophic αψ open and closed mapping and neutrosophic Tαψ space.
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