Fuzzy (b, θ)- separation axioms

Sarma, Diganta Jyoti; Acharjee, Santanu; Sarma, Diganta Jyoti; Acharjee, Santanu

doi:10.22199/issn.0717-6279-2019-03-0039

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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Proyecciones (Antofagasta) vol.38 no.3 Antofagasta Aug. 2019

http://dx.doi.org/10.22199/issn.0717-6279-2019-03-0039

Articles

Fuzzy (b, θ)- separation axioms

Diganta Jyoti Sarma¹

Santanu Acharjee²

^¹Central Institute of Technology, Department of Mathematics, BTAD-Kokrajhar-783370, Assam, India. e-mail: dj.sarma@cit.ac.in

^²Debraj Roy College, Department of Mathematics, Economics and Computational Rationality Group, Golaghat-785621, Assam, India. e-mail : sacharjee326@gmail.com

Abstract

Dutta and Tripathy recently introduced fuzzy (b, θ)-open set in fuzzy topology. The aim of this paper is to introduce fuzzy (b, θ)-separation axioms with the help of fuzzy (b, θ)-open set and to establish some properties by defining fuzzy (b, θ)-neighbourhood and fuzzy (b, θ)-quasi neighbourhood of a fuzzy point.

Keywords: Fuzzy topological spaces; Fuzzy b-open set; Fuzzy (b, θ)-open set; Fuzzy (b, θ)-quasi neighbourhood

Mathematics Subject Classification (2010): 03E72; 54A40; 54D10

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References

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Received: September 2018; Accepted: November 2018

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