Applications of Rough Soft to Extensions Semihypergroups Induced by Operators and Corresponding Decision Making Methods

Document Type : Original Manuscript


1 Department of Mathematics, Hormozgan University, Bandar Abbas, Iran.

2 Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran



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 -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 -hypergroupoids for a special semihypergroup.