三支决策与Vague集  

Three-way Decisions and Vague Sets

作　　者：徐久成 杜丽娜[1,2] 刘洋洋[1,2] 

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]河南省高校计算智能与数据挖掘工程技术研究中心,河南新乡453007

出　　处：《小型微型计算机系统》2016年第7期1464-1468,共5页Journal of Chinese Computer Systems

基　　金：国家自然科学基金项目(61370169;60873104)资助;河南省科技攻关重点项目(142102210056)资助;新乡市重点科技攻关计划项目(ZG13004)资助

摘　　要：三支决策和Vague集都可用于边界不确定信息的处理.本文将三支决策理论与Vague集理论相结合,开展一些相关研究.首先,在讨论粗糙集与Vague集关系的基础上,对三支决策粗糙集与Vague集之间的关系进行分析研究;其次,以三支决策的视角,分别用条件概率、阈值对(α,β)以及风险损失函数λ对Vague集中的隶属函数给出新的描述和定义;然后,通过分析这两种集合之间的关系,提出基于Vague集的三支决策划分,用隶属函数结合阈值对定义其三个域,得到对应的三条决策规则;最后,定义Vague集的三支决策隶属函数并研究其相关性质.Both three-way decisions and Vague sets can be used to deal with the uncertain information of boundary. In this paper,the three-way decision theory and Vague set theory were combined and some correlational research was carried out. Firstly,on the basis of the relationship between the Rough sets and Vague sets,the relationship of the three-way decisions rough sets and Vague sets was analyzed and studied; Secondly,in the perspective of three-way decisions,the newexplanations and definitions of the membership functions of Vague sets were given through making use of the conditional probability,a pair of thresholds（ α,β） and the risk of loss function λ; Thirdly,by analyzing the relationship between the two kinds of collections,the three-way decisions partition based on Vague sets was put forward and its three domains were defined using the membership functions combined with the pair of thresholds,and then the corresponding three-way decision rules were obtained; Finally,the three-way decision membership function of Vague sets was defined and its some related properties were researched.

关 键 词：三支决策 VAGUE集 不确定信息处理 隶属函数 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]