𝒢Θτi⋆τj-Fuzzy Closure Operator

Fahad Alsharari () and Yaser. M. Saber
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Fahad Alsharari: Department of Mathematics, College of Science and Human Studies, Hotat Sudair, Majmaah University, Majmaah 11952, Saudi Arabia
Yaser. M. Saber: Department of Mathematics, College of Science and Human Studies, Hotat Sudair, Majmaah University, Majmaah 11952, Saudi Arabia†Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt

New Mathematics and Natural Computation (NMNC), 2020, vol. 16, issue 01, 123-141

Abstract: In this paper, a new class of fuzzy ideal sets, namely the r-(τi,τj)-θ-generalized fuzzy ideal closed sets, is introduced for fuzzy bitopological spaces in Šostak sense. This class falls strictly in between the class of r-(τi,τj)-θ-fuzzy ideal closed sets and the class of r-(τi,τj)-generalized fuzzy ideal closed sets. Furthermore, by using the class of r-(τi,τj)-θ-generalized fuzzy ideal closed sets we establish a new fuzzy closure operator which generates fuzzy bitopological spaces in Šostak sense. Finally, the (i,j) strongly-θ-fuzzy ideal continuous, (i,j)-θ-generalized fuzzy ideal continuous and (i,j)-θ-generalized fuzzy ideal irresolute mappings are introduced, and we show the (i,j)-θ-generalized fuzzy ideal continuous properly fuzzy ideal bitopological spaces in Šostak sense (for short, fibtss) in between (j,i) strongly-θ-fuzzy ideal continuous and (i,j)-generalized fuzzy continuous mappings.

Keywords: Fuzzy closure operator; θ-fuzzy ideal closed set; θ-generalized fuzzy ideal closed set; θ-generalized fuzzy ideal continuous mapping; θ-generalized fuzzy ideal irresolute mapping; strongly θ-fuzzy ideal continuous mapping (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S1793005720500088

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