文摘
The notion of interval valued intuitionistic fuzzy sets was introduced by Atanassov and Gargov as a generalization of the notion of intuitionistic fuzzy sets and interval valued fuzzy sets. In this paper, we initiate a study on interval valued intuitionistic fuzzy sets in \(\Gamma \)-semihypergroups. We introduce the notions of interval valued intuitionistic fuzzy left (right, two sided) \(\Gamma \)-hyperideal, interval valued intuitionistic fuzzy bi-\(\Gamma \)-hyperideal and interval valued intuitionistic fuzzy (1,2) \(\Gamma \)-hyperideal in a \(\Gamma \)-semihypergroup and some properties of them are obtained. We use the interval valued intuitionistic fuzzy left, right, two-sided and bi-\(\Gamma \)-hyperideals to characterize some classes of \(\Gamma \)-semihypergroups. We also introduce the notion of an interval valued intuitionistic fuzzy \(M\) (resp. \(N\))-hypersystem of a \(\Gamma \)-semihypergroup and some properties of them are investigated.