New Concepts of To Separation Axioms in Fuzzy Topology

Authors

  • Kamalesh Kumar Lal Karn Patan Multiple Campus, Patan Dhoka, Lalitpur, Nepal

DOI:

https://doi.org/10.3126/ppj.v2i1.48125

Keywords:

Fuzzy topological space, quasi - coincidence, Fuzzy quasi-To , T1 and T2 space

Abstract

Fuzzy set was introduced by Zadeh in his classical paper of 1965. Three years later, Chang gave the definition of fuzzy topology, which is a family of fuzzy set satisfying the three classical axioms. In this paper, we have introduced and studied some new notions of To separation axioms in fuzzy topological spaces by using quasi-coincident relation for fuzzy set. Every ordinary (crisp) topological space vacuously satisfies condition of being quasi-To. In this paper concept of quasi coincident relation used to introduce and investigate some quasi separation axioms such as To, T1, & T2. Concerning quasi-To space in the general frame work of fuzzy topological spaces.  

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Published

2022-09-13

How to Cite

Karn, K. K. L. (2022). New Concepts of To Separation Axioms in Fuzzy Topology. Patan Prospective Journal, 2(1), 79–83. https://doi.org/10.3126/ppj.v2i1.48125

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Articles