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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.

Keywords

Hyperstructure hyperoperation n-hypergroup $F^n$-hypergroup fundamental relation

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F n -Hypergroups based on fuzzy hyperoperations and fundamental relations

Abstract

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