Fuzzy n-ary hypergroups

Article type: Research Article

Authors: Davvaz, B. | Corsini, P.

Affiliations: Department of Mathematics, Yazd University, Yazd, Iran | Dipartimento di Matematica e Informatica, Via delle Scienze 206, 33100 Udine, Italy

Note: [] Corresponding author. E-mail: davvaz@yazduni.ac.ir

Abstract: The aim of this paper is to introduce the notion of a fuzzy and anti fuzzy n-ary subhypergroup of an n-ary hypergroup and to extend the fuzzy results of fundamental equivalence relations to n-ary hypergroups.

Keywords: Hypergroup, n-ary hypergroup, fuzzy subset, n-ary subhypergroup, fuzzy n-ary subhypergroup, fundamental equivalence relation

Journal: Journal of Intelligent & Fuzzy Systems, vol. 18, no. 4, pp. 377-382, 2007