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IMI/Publicaţii/QRS/Ediţii/QRS v.15, n.2 (18), 2007/

Fuzzy (strong) congruence relations on hypergroupoids and hyper BCK-algebras pp.

Authors: R. Ameri, M. Bakhshi, S. A. N. Zadeh, R. Borzooei

Abstract

We define the concept of fuzzy (strong) congruence relations on hypergroupoids and hyper BCK-algebras and construct a quotient hyperstructure on a hypergroupoid. In particular, we prove that if H is a (semi) hypergroup and R is a fuzzy (strong) congruence relation on H, then H/R is a (semi) group. Finally, by considering the notion of a hyper BCK-algebra, we construct a quotient hyper BCK-algebra.

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