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SBE-Algebras via Intuitionistic Fuzzy Structures

Author

Listed:
  • Tahsin Oner

    (Department of Mathematics, Faculty of Science, Ege University, 35100 Izmir, Turkey)

  • Hashem Bordbar

    (Centre for Information Technologies and Applied Mathematics, University of Nova Gorica, 5000 Nova Gorica, Slovenia)

  • Neelamegarajan Rajesh

    (Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamil Nadu, India)

  • Akbar Rezaei

    (Department of Mathematics, Payame Noor University, Tehran P.O. Box 19395-4697, Iran)

Abstract

The study introduces the concept of intuitionistic fuzzy SBE-subalgebras, ideals, and filters, along with level sets of intuitionistic fuzzy sets within the framework of Sheffer stroke BE-algebras. These concepts are shown to be crucial for understanding the behavior of intuitionistic fuzzy logic in this algebraic structure. The study further establishes a bidirectional relationship between subalgebras, ideals, filters, and their respective level sets on Sheffer stroke BE-algebras, demonstrating that the level set of an intuitionistic fuzzy SBE-subalgebra, ideal, or filter is itself a subalgebra, ideal, or filter on this algebra, and vice versa.

Suggested Citation

  • Tahsin Oner & Hashem Bordbar & Neelamegarajan Rajesh & Akbar Rezaei, 2024. "SBE-Algebras via Intuitionistic Fuzzy Structures," Mathematics, MDPI, vol. 12(24), pages 1-26, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:24:p:4038-:d:1550785
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