Preprint Article Version 1 This version is not peer-reviewed

Separation Axioms Interval-Valued Fuzzy Soft Topology via Quasi-Neighbourhood Structure

Version 1 : Received: 27 December 2019 / Approved: 27 December 2019 / Online: 27 December 2019 (08:44:19 CET)

How to cite: Ali, M.; Kılıçman, A.; Zahedi Khameneh, A. Separation Axioms Interval-Valued Fuzzy Soft Topology via Quasi-Neighbourhood Structure. Preprints 2019, 2019120360 (doi: 10.20944/preprints201912.0360.v1). Ali, M.; Kılıçman, A.; Zahedi Khameneh, A. Separation Axioms Interval-Valued Fuzzy Soft Topology via Quasi-Neighbourhood Structure. Preprints 2019, 2019120360 (doi: 10.20944/preprints201912.0360.v1).

Abstract

In this study, we present the concept of interval-valued fuzzy soft point and then introduce the notions of neighborhood and quasi-neighbourhood of it in interval-valued fuzzy soft topological spaces. Separation axioms in interval-valued fuzzy soft topology, so-called $q$-$T_{i}$ for $ i=0,1,2,3,4 ,$ is introduced and some of its basic properties are also studied.

Subject Areas

interval-valued fuzzy soft set; interval-valued fuzzy soft topology; interval-valued fuzzy soft point; interval-valued fuzzy soft neighborhood; interval-valued fuzzy soft quasi-neighbourhood; interva

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