Generalized Fuzzy Rough Approximations on Hypergroups

Creative Commons License

Akın C., Delice D. B., YAMAK S.

Mathematics, cilt.12, sa.16, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 16
  • Basım Tarihi: 2024
  • Doi Numarası: 10.3390/math12162445
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: canonical hypergroup, fuzzy rough approximation, fuzzy set-valued homomorphism
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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 (Formula presented.) -fuzzy model on canonical hypergroups.