SOME PROPERTIES OF T₀ FUZZY SOFT TOPOLOGICAL SPACES IN QUASI-COINCIDENCE SENSE

admin April 24, 2022

Authors:

Ruhul Amin,Raihanul Islam,Sudipto Kumar Shaha,Saikh Shahjahan Miah,

DOI NO:

https://doi.org/10.26782/jmcms.2022.04.00002

Keywords:

Fuzzy soft set,Fuzzy Soft Topological Spaces,Quasi-coincidence,Fuzzy Soft T₀Topological Space,Initial and Final Fuzzy Soft Topology,

Abstract

In this paper, we have introduced and studied some new notions of  T₀ separation axiom in fuzzy soft topological spaces using quasi-coincident relation for fuzzy soft points. We have shown a relationship between ours and other counterparts and observed that all these notions satisfy good extension, hereditary, productive, and projective properties. Moreover, we have also shown that these notions are preserved under one-one, onto, and fuzzy soft continuous mappings. Finally, initial and final soft topologies are studied also.

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