Decision-Making Algorithm of Rough Soft Γ-Semihypergroups and Associated Rough Soft Semihypergroups

Abstract

In this paper, we apply soft rough sets to the special algebraic hyperstructure and give the concepts of soft rough [Formula: see text]-semihypergroup, which is an extended definition of rough groups and we use the terminologies of [Formula: see text]-soft sets and [Formula: see text]-soft sets to research soft rough algebraic hyperstructures. We propose the notion of lower and upper approximations with respect to [Formula: see text]-semihypergroup and discuss some significant properties of them. Also, we consider a connection between upper(lower) approximation of [Formula: see text]-semihypergroups and upper(lower) approximation of associated semihypergroups. Moreover, we obtain the decision-making algorithm of rough soft [Formula: see text]-semihypergroups, then we find a relation between the decision-making algorithm of rough soft [Formula: see text]-semihypergroup and its associated rough soft semihypergroup.