Separation Axioms in Mixed Fuzzy Topological Spaces

Ray, Gautam Chandra; Chetri, Hari Prasad

doi:10.5391/ijfis.2021.21.4.423

Cited by 1 publication

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“…Wadai F. Al-Omeri introduced and studied Mixed γ− Fuzzy in Mixed-fuzzy topological spaces and their application (2018) [16] and Mixed b-fuzzy topological spaces (2020) [17]. G. C. Ray and H. P. Chetri recently studied Separation Axioms in Mixed Fuzzy Topological Spaces [9] B. C. Tripathy and G. C. Ray also introduced Fuzzy δ−I− continuity [3] and Fuzzy δ * continuous and almost continuous functions [4] in mixed fuzzy ideal topological spaces. G. C. Ray and S. Dey studied Separation axioms in mixed multiset topological space [10].…”

Section: Introductionmentioning

confidence: 99%

Mixed Fuzzy topological space its Hausdorff properties and base

Chetri

Ray

2023

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In this article, mixed fuzzy topology and its topological properties have been studied. Mixed fuzzy topology is defined with the help of quasi-coincidence and closure of a fuzzy set in one of the fuzzy topologies. Thus, a new fuzzy topology is generated from the given two fuzzy topologies. This new fuzzy topology may or may not contain the topological properties of the parent topologies. This study identifies some topological properties that are carried to the mixed fuzzy topology from the given parent fuzzy topologies and some other properties which are not carried to the mixed fuzzy topology. Here a base for mixed fuzzy topology from the bases of the given parent topologies is constructed. Considering the regularity of one of the parent topologies mixed fuzzy topology is investigated. Hausdorff’s properties of mixed fuzzy topological spaces are also discussed. It is now of general interest to know which properties are carried to the mixed topology and which are not. A few of these are being tried to answer here in this paper.

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