Fuzzy Γ-hypergroups

Article type: Research Article

Authors: Leoreanu-Fotea, Violeta | Davvaz, Bijan | Feng, Feng

Affiliations: Faculty of Mathematics, “Al.I. Cuza” University, Iaşi, Romania | Department of Mathematics, Yazd University, Yazd, Iran | Department of Applied Mathematics, School of Science, Xi'an University of Posts and Telecommunications, Xi'an, China

Note: [] Corresponding author. Violeta Leoreanu-Fotea, Faculty of Mathematics, “Al.I. Cuza” University, Iacşi, Romania. E-mails: [email protected]; [email protected] (B. Davvaz); [email protected] (F. Feng)

Abstract: In this paper, we introduce and analyze fuzzy Γ-hypergroups. We study fuzzy Γ-hypergroups and fuzzy Γ-hypergroup homomorphisms in connections with the associated Γ-hypergroups and Γ-hypergroup homomorphisms, respectively. Finally, since the fuzzy regular relations play an important role in getting quotient Γ-structures, we introduce and analyze fuzzy regular and fuzzy strongly regular relations on fuzzy Γ-hypergroups.

Keywords: Γ-semihypergroup, Γ-hypergroup, fuzzy Γ-hypergroup, fuzzy regular relation

DOI: 10.3233/IFS-130840

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 4, pp. 1593-1600, 2014