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

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