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Separation Axioms of Interval-Valued Fuzzy Soft Topology via Quasi-Neighborhood Structure

1
Department of Mathematics, University Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
2
Institute for Mathematical Research, University Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(2), 178; https://doi.org/10.3390/math8020178
Received: 27 December 2019 / Revised: 21 January 2020 / Accepted: 26 January 2020 / Published: 2 February 2020
(This article belongs to the Special Issue Fuzzy Sets, Fuzzy Logic and Their Applications)
In this study, we present the concept of the interval-valued fuzzy soft point and then introduce the notions of its neighborhood and quasi-neighborhood in interval-valued fuzzy soft topological spaces. Separation axioms in an interval-valued fuzzy soft topology, so-called q- T i for i = 0 , 1 , 2 , 3 , 4 , are introduced, and some of their basic properties are also studied.
Keywords: 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-neighborhood; interval-valued fuzzy soft separation axioms 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-neighborhood; interval-valued fuzzy soft separation axioms
MDPI and ACS Style

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

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