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.