Construction of Fuzzy Hyper BCI-Algebras Using Fuzzy Hypergroupoid

Abstract

In this paper, by considering the notion of fuzzy hyperoperation, we define the concept of fuzzy hyper [Formula: see text]-algebras as a generalization of [Formula: see text]-algebras and study related properties. Moreover, we introduce the notions of fuzzy hyper [Formula: see text]-ideal and weak (strong) fuzzy hyper [Formula: see text]-ideal, and then examine the relations among them. Finally, we investigate the relation between fuzzy hyper [Formula: see text]-algebras with fuzzy hypersemigroup, fuzzy hypergroup and hyper [Formula: see text]-algebras.