集对优势关系下多粒度决策粗糙集的可变三支决策模型

多粒度决策粗糙集是从多角度来处理不确定数据和风险决策问题的重要模型.针对不完备信息系统下的决策分析问题,在多粒度决策粗糙集中引入集对优势关系,对优势度进行了改进,使结果更加合理.然后对多粒度近似空间进行了拓展,提出了集对优势关系下的乐观、悲观、均值、乐观-悲观和悲观-乐观5种多粒度决策粗糙集模型,并讨论了其相关性质以及...

Variable Three-way Decision Model of Multi-granulation Decision Rough Sets Under Set-pair Dominance Relation

Multi-granulation decision rough sets are important model to deal with decision-making under uncertain data and risk from multiple perspectives.In view of the decision-making analysis problem in incomplete information system,this paper firstly introduces the set-pair dominance relation to the multi-granulation decision rough sets,improves the set-pair dominance degree in the set-pair dominance relation,and makes the result more reasonable.Then,the multi-granulation approximation space is expan-ded,and five kinds of multi-granulation decision rough sets models are proposed,which are optimistic,pessimistic,mean,optimistic-pessimistic and pessimistic-optimistic under the set-pair dominance relation.Meanwhile,the related properties and the relation among these models are discussed.Furthermore,combined with the theory ofthree-way decisions,the loss function is represented by interval value in incomplete information system,and different thresholds are obtained.Then five corresponding variable three way decision models are established,and the decision rules are derived.Finally,the case of employee evaluation shows that the proposed model is more flexible in practical application,not too loose or too strict,and the final decision is more reasonable.It provides a novel method for decision-making of uncertainty problems in incomplete information system.