Abstract:
The notion of intuitionistic fuzzy sets was introduced by Atanassov as ageneralization of the notion of fuzzy sets. In this paper, using Atanassov idea, wegive some properties of intuitionistic fuzzy hyperideals and intuitionistic fuzzy bihyperidealsin a semihypergroup. We use the intuitionistic fuzzy left, right, twosidedand bi-hyperideals to characterize the intra-regular semihypergroups,generalizing some known results of intra-regular semigroups.