Interval-valued fuzzy n-ary subhypergroups of n-ary hypergroups
This paper provides a continuation of ideas presented by Davvaz and Corsini (J Intell Fuzzy Syst 18(4):377382, 2007). Our aim in this paper is to introduce the concept of quasicoincidence of a fuzzy interval value with an interval-valued fuzzy set. This concept is a generalized concept of quasicoincidence of a fuzzy point within a fuzzy set. By using this new idea, we consider the interval-valued (?, ? ?q)-fuzzy n-ary subhypergroup of a n-ary hypergroup. This newly defined interval-valued (?, ? ?q)-fuzzy n-ary subhypergroup is a generalization of the usual fuzzy n-ary subhypergroup. Finally, we consider the concept of implication-based interval-valued fuzzy n-ary subhypergroup in an n-ary hypergroup; in particular, the implication operators in ukasiewicz system of continuous-valued logic are discussed.
n-ary subhypergroup hypergroup n-ary hypergroup fuzzy set ? ?q)-fuzzy n-ary subhypergroup belong to quasicoincident with fuzzy (?