Generalized Fuzzy Rough Approximations on Hypergroups

Canan Akın, Dilek Bayrak Delice () and Sultan Yamak
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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

Mathematics, 2024, vol. 12, issue 16, 1-21

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.

Keywords: canonical hypergroup; fuzzy set-valued homomorphism; fuzzy rough approximation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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