ROUGH FUZZY GROUPS AND ROUGH SOFT GROUPS

Abstract

By means of Dubois and Prade’s idea, we introduce the concept of rough fuzzy normal subgroups and investigate some related properties.  Combining rough sets and soft sets, rough soft normal subgroups with respect to a normal subgroup of groups in Pawlak approximation spaces are introduced.  Moreover, we investigate the relationships between lower and upper rough soft normal subgroups with respect to normal subgroups.  Finally, decision making methods in rough soft sets are put forward and some related algebraic and applied examples are given.