Algebraic Hyperstructure of Multi-Fuzzy Soft Sets Related to Polygroups

The combination of two elements in a group structure is an element, while, hypergroup, the non-empty set. use hypergroups appears mainly certain subclasses. For instance, polygroups, which are special subcategory hypergroups, used many branches mathematics and basic sciences. On other hand, multi-fuzzy set, element universal set may occur more than once with possibly same or different membership values. A soft over mapping from parameters to family subsets If we substitute all fuzzy instead crisp subsets, then obtain sets. Similarly, sets can be obtained. In this paper, combine polygroup structure, new called polygroup. We analyze relation between polygroups. Some algebraic properties polygroups extended operations on defined. addition this, investigate normal present some their properties.