On fuzzy soft \(b\)-open sets in fuzzy soft bitopological space

Volume 21, Issue 1, pp 31--44 http://dx.doi.org/10.22436/jmcs.021.01.04

Publication Date: March 21, 2020 Submission Date: October 22, 2019 Revision Date: February 02, 2020 Accteptance Date: February 10, 2020

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Authors

A. F. Sayed - Mathematics Department, Al-Lith University College, Umm Al-Qura University, P. O. Box 112, Al-Lith 21961, Makkah Al Mukarramah, Kingdom of Saudi Arabia.

Abstract

In this paper, we introduce \((1,2)^{*}\)-fuzzy soft \(b\)-open sets and \((1,2)^{*}\)-fuzzy soft \(b\)-closed sets in fuzzy soft bitopological space and exhibit the properties of \((1,2)^{*}\)-fuzzy soft \(b\)- open sets. Then we discuss the relation with \((1,2)^{*}\)-fuzzy soft regular- open, \((1,2)^{*}\)-fuzzy soft pre-open, \((1,2)^{*}\)-fuzzy soft semi-open, \((1,2)^{*}\)-fuzzy soft \(\alpha\)-open, and \((1,2)^{*}\)-fuzzy soft \(\beta\)-open in fuzzy soft bitopological space. Also, we introduce and investigate the concepts of \((1,2)^{*}\)-fuzzy soft \(b\)-interior, \((1,2)^{*}\)-fuzzy soft \(b\)-closure in fuzzy soft bitopological space and analyze the relations between these concepts.

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Keywords

• \((1,2)^{*}\)-fuzzy soft \(b\)-open set
• \((1,2)^{*}\)-fuzzy soft regular-open
• \((1,2)^{*}\)-fuzzy soft pre open
• \((1,2)^{*}\)-fuzzy soft semi open
• \((1,2)^{*}\)-fuzzy soft \(\alpha\) - open
• \((1,2)^{*}\)-fuzzy soft \(\beta\)-open
• \((1,2)^{*}\)-fuzzy soft \(b\)-interior
• \((1,2)^{*}\)-fuzzy soft \(b\)-closure

MSC

•  54A05
•  54A40
•  54F99

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