Intuitionistic Fuzzy Multi-Hypergroups

Abstract

In this paper, we define intuitionistic fuzzy multi-hypergroup which is the generalization of the concept of intuitionistic fuzzy hypergroup. Also we study some operations on intuitionistic fuzzy multi-hypergroups. In addition to this, we give some fundamental results and several examples regarding these notions. Moreover, we focus on homomorphisms of intuitionistic fuzzy multi-hypergroups. Furthermore, we discuss normal intuitionistic fuzzy multi-hypergroups. Lastly, we investigate intuitionistic fuzzy quotient multi-hypergroups.