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𝒢Θτi⋆τj-Fuzzy Closure Operator

Author

Listed:
  • 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)

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.

Suggested Citation

  • Fahad Alsharari & Yaser. M. Saber, 2020. "𝒢Θτi⋆τj-Fuzzy Closure Operator," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 123-141, March.
    • Handle: RePEc:wsi:nmncxx:v:16:y:2020:i:01:n:s1793005720500088
    DOI: 10.1142/S1793005720500088
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