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Generalized Fuzzy Rough Approximations on Hypergroups

Author

Listed:
  • Canan Akın

    (Department of Mathematics, Faculty of Arts and Sciences, Giresun University, Giresun 28100, Türkiye)

  • Dilek Bayrak Delice

    (Department of Mathematics, Faculty of Arts and Sciences, Tekirdağ Namık Kemal University, Tekirdağ 59030, Türkiye)

  • Sultan Yamak

    (Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, Trabzon 61080, Türkiye)

Abstract

In this paper, we define the fuzzy set-valued homomorphisms of the canonical hypergroups as a generalization of fuzzy congruences and investigate some of their features. This structure is an extension of the definition of set-valued homomorphism defined for groups to hypergroups. With this extension, it has become possible to study generalized fuzzy rough approximations in hyperalgebraic structures such as semihypergroups, polygroups, hyperrings, hypermodules, etc. This paper presents the generalized fuzzy rough approximations based on two-universe ( I , T ) -fuzzy model on canonical hypergroups.

Suggested Citation

  • Canan Akın & Dilek Bayrak Delice & Sultan Yamak, 2024. "Generalized Fuzzy Rough Approximations on Hypergroups," Mathematics, MDPI, vol. 12(16), pages 1-21, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:16:p:2445-:d:1451206
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