Abstract
The classical rough set theory was presented by Pawlak, which is mainly concerned with the approximation of sets described by a single binary relation on the universe. In this paper, we initiate a multi attribute group decision making problems in the presence of multi attribute and multi decision in decision making with preferences. Then resolving the problem, using two different approximation strategies, i.e., seeking common reserving difference and seeking common rejecting difference, four kinds of soft dominance-based multi-granulation rough sets are presented, namely, soft dominance based optimistic multi-granulation rough sets and soft dominance based pessimistic multi-granulation rough sets and their applications in solving a multi agent conflict analysis decision problem. The proposed method addresses the limitations of the Pawlak model and Sun's conflict analysis model and thus improve these models. Finally, the results on labor management negotiation problems show that the proposed algorithms are more effective and efficient for feasible consensus strategy when compared with Sun's technique.
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