Fuzzy Γ-hypergroups

Authors:
Violeta Leoreanu-Fotea;Bijan Davvaz;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
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

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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.