SOFT ROUGH GROUPS AND CORRESPONDING DECISION MAKING

Abstract

In this article, we apply soft rough sets (briefly, SR-sets) to the special algebraic structure-group and give the concepts of soft rough groups (briefly, normal subgroups) (briefly, SR-groups, SRN -subgroups), which is an extended definition of rough groups.  Further, we use the terminologies of C-soft sets and CC-soft sets to research soft rough algebraic structures.  Moreover, the roughness in groups w.r.t. MSR-approximation spaces are investigated.  At the same time, we study some soft rough operations over groups.  Specially, upper and lower SR-groups (SRN -subgroups) are explored.  Finally, we raise a kind of decision making method (DM-method) for SR-groups and give an actual example to illustrate.