Fn-Hypergroups based on fuzzy hyperoperations and fundamental relations

Authors:
M. Farshi;B. Davvaz
Affiliations:
Department of Mathematics, Yazd University, Yazd, Iran;Department of Mathematics, Yazd University, Yazd, Iran
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

Citing 10
Cited 0

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Abstract

In this paper, the notion of fuzzy n-hypergroups Fn-hypergroups by using the notion of Fn-hyperoperations is introduced and some related properties are investigated. In this regards relationships between Fn-hypergroups and n-hypergroups are considered. Next, some properties of direct product of Fn-hypergroups are presented. We then study the quotient of Fn-hypergroups by a fundamental relation and describe some of their properties.