Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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)

A peer-reviewed article of this Preprint also exists.

Ali, M.; Kılıçman, A.; Khameneh, A.Z. Separation Axioms of Interval-Valued Fuzzy Soft Topology via Quasi-Neighborhood Structure. Mathematics 2020, 8, 178. Ali, M.; Kılıçman, A.; Khameneh, A.Z. Separation Axioms of Interval-Valued Fuzzy Soft Topology via Quasi-Neighborhood Structure. Mathematics 2020, 8, 178.

Journal reference: Mathematics 2020, 8, 178
DOI: 10.3390/math8020178

## 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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