集对优势关系下多粒度决策粗糙集的可变三支决策模型  

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

作　　者：薛占熬[1,2] 张敏 赵丽平 李永祥 XUE Zhan-ao;ZHANG Min;ZHAO Li-ping;LI Yong-xiang(College of Computer and Information Engineering,Henan Normal University,Xinxiang,Henan 453007,China;Engineering Lab of Henan Province for Intelligence Business&Internet of Things,Xinxiang,Henan 453007,China)

机构地区：[1]河南师范大学计算机与信息工程学院,河南新乡453007 [2]“智慧商务与物联网技术”河南省工程实验室,河南新乡453007

出　　处：《计算机科学》2021年第1期157-166,共10页Computer Science

基　　金：国家自然科学基金(61772176,61402153);河南省科技攻关项目(182102210078,182102210362)。

摘　　要：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模型之间的相互关系。结合三支决策理论,在不完备信息系统中用区间值表示损失函数,获得不同的阈值,建立了5个相应的可变三支决策模型,推导出决策规则。最后,通过公司员工评估的案例证明,所提模型在实际应用中灵活性更高,不会过于宽松或过于严格,使最终决策更为合理,从而为不完备信息系统下不确定性问题的决策分析提供了新方法。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.

关 键 词：多粒度决策粗糙集 多粒度 集对优势关系 不完备信息系统 三支决策 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]