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

Mabruka Ali, Adem Kılıçman and Azadeh Zahedi Khameneh
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Mabruka Ali: Department of Mathematics, University Putra Malaysia, Serdang 43400 UPM, Selangor, Malaysia
Adem Kılıçman: Department of Mathematics, University Putra Malaysia, Serdang 43400 UPM, Selangor, Malaysia
Azadeh Zahedi Khameneh: Department of Mathematics, University Putra Malaysia, Serdang 43400 UPM, Selangor, Malaysia

Mathematics, 2020, vol. 8, issue 2, 1-17

Abstract: 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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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