• 第五届中国数据挖掘会议(CCDM 2014)论文 •

### 基于容差优势关系的排序方法及其应用

1. 1. 广西大学 数学与信息科学学院，南宁530004；
2. 广西民族师范学院 经济与管理系，广西 崇左532200
3. 广西大学 电气工程学院，南宁530004;
• 收稿日期:2014-05-07 修回日期:2014-05-14 出版日期:2014-08-01 发布日期:2014-08-10
• 通讯作者: 吕跃进
• 作者简介:陈万翠（1990-），女，云南文山人，硕士研究生，主要研究方向：粗糙集、运筹与控制；吕跃进(1958-)，男，广东龙川人，教授，主要研究方向：粗糙集、运筹与控制；翁世洲(1988-)，男，湖北宜昌人，硕士研究生，〖BP(〗助教，〖BP)〗主要研究方向：管理决策、粗糙集。
• 基金资助:

国家自然科学基金资助项目;广西自然科学基金资助项目;广西研究生教育创新计划资助项目

### Sorting method and its application based on tolerance dominance relation

CHEN Wancui1,LYV Yuejin1,WENG Shizhou2,3

1. 1. College of Mathematics and Information Sciences, Guangxi University, Nanning Guangxi 530004, China;
2. Economic and Management Department, Guangxi Normal University for Nationalities, Chongzuo Guangxi 532200, China
3. College of Electrical Engineering, Guangxi University, Nanning Guangxi 530004, China;
• Received:2014-05-07 Revised:2014-05-14 Online:2014-08-01 Published:2014-08-10
• Contact: LYV Yuejin

Abstract:

Concerning at the problems that the classical dominance relation is too strict under the ordered information system which may lead to failure of the sorting method, the concept of tolerance dominance relation was proposed and its relevant properties were studied. Then basing on tolerance dominance relation, the definition of dominant degree was obtained and a project sorting method based on the tolerance dominance relation was proposed. In the end the sorting method was applied to the comprehensive evaluation of smart grid. The experimental results show that, compared with the classical dominance relation, the tolerance dominance relation possesses stronger capability of fault tolerance for the data. And the sorting results have stronger differentiation degree. The proposed tolerance dominance relation can effectively avoid the problem of failure that caused by a large number of attributes and the different merits of attribute values in the classical dominance relation.