applications of rough soft to extensions semihypergroups induced by operators and corresponding decision-making methods

In this paper, we apply a rough soft set to a spe-cial algebraic hyperstructure, and give the concept of a rough soft semihypergroup. we propose the notion of lower and upper approximations concerning a special semihypergroup and obtain some properties. moreover, we consider a connection between the lower(upper) approximation of a special semihypergroup and the lower(upper) approximation of the associated γ-hypergroupoid. in the last section of this research, we discuss the decision-making algorithm of rough soft semihypergroups. afterward, we obtain a relation between the decision-making algorithm of rough soft semi-hypergroups and their associated rough soft γ-hypergroupoids for a special semihypergroup.