NEW CONCEPTS OF T2 SEPARATION AXIOMS IN SUPRA FUZZY TOPOLOGICAL SPACE USING QUASI COINCIDENCE SENSE

Authors:

Lalin Chowdhury,Sudipto Kumar Shaha,Ruhul Amin,

DOI NO:

https://doi.org/10.26782/jmcms.2022.02.00004

Keywords:

Fuzzy Set,Fuzzy Topology,Supra Fuzzy Topology,Quasi-coincidence,Initial and Final Supra Fuzzy Topology,

Abstract

Sometimes we need to minimize the conditions of topology for different reasons such as obtaining more convenient structures to describe some real-life problems or constructing some counterexamples which show the interrelations between certain topological concepts or preserving some properties under fewer conditions of those on topology. To contribute to this research area, in this paper, we establish some notions of  separation axioms in supra fuzzy topological space in a quasi-coincidence sense. Also, we investigate some of its properties and establish certain relationships among them and other such concepts. Moreover, some of their basic properties are examined. The concept of separation axioms is one of the most important parts of fuzzy mathematics, mainly modern topological mathematics, which plays an important role in modern networking systems.

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