区间粗糙数序信息系统下的优势关系粗糙集模型  

Rough Set Model of Dominance Relation under Interval Rough Number Order Information System

作　　者：翁世洲 朱俊 王超 吕跃进[2,3] WENG Shi-zhou;ZHU Jun;Wang Chao;LV Yue-jin(Department of Economic and Management,Guangxi Normal University for Nationalities,Chongzuo 532200,China;College of Mathematics and Information Sciences,Guangxi University,Nanning 530004,China;Department of Mathematics and Physics,Liuzhou Institute of Technology,Liuzhou 545616,China)

机构地区：[1]广西民族师范学院经济与管理学院,广西崇左532200 [2]广西大学数学与信息科学学院,广西南宁530004 [3]柳州工学院数理教学部,广西柳州545616

出　　处：《模糊系统与数学》2021年第3期133-144,共12页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(71361002);广西高校中青年教师基础能力提升项目(2017KY0847,2020KY20012);广西民族师范学院科研项目(2020YB007)。

摘　　要：以区间粗糙数为研究对象,提出了基于区间优势度的区间粗糙数比较公式,通过引入参数α调节决策者对区间粗糙数下近似和上近似的重视程度,以充分考虑决策者的风险偏好。在此基础上,引入优势度阈值β并定义了基于优势度的优势关系粗糙集模型,进一步给出了此模型框架下的四种排序方法。对优势度、优势关系及排序方法的相关性质进行了证明,最后通过算例验证模型与排序方法的合理性。Taking the interval rough number as the research object,a comparison formula for interval rough number based on interval dominance degree is proposed.By introducing the parameterαto adjust the importance of decision makers on the lower and upper approximation of interval rough number,to fully consider the risk of the decision maker preferences.On this basis,the dominance thresholdβis introduced and the dominance relationship rough set model based on dominance is defined.Four sorting methods under this model framework are further given.The relative properties of dominance degree,dominance relation and ranking method are proved.Finally,the rationality of the model and ranking method is verified by an example.

关 键 词：区间粗糙数 序信息系统 优势关系 优势度 多属性决策 

分 类 号：O159[理学—数学]