Lattice-valued information systems based on dominance relation

被引：14
作者：
Xu, Weihua [1 ,2 ]
Liu, Shihu [3 ]
Zhang, Wenxiu [4 ]
机构：
[1] Chongqing Univ Technol, Sch Math & Stat, Chongqing 400054, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Management, Xian 710049, Peoples R China
[3] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[4] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS | 2013年 / 4卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Attribute reduction; Dempster-Shafer theory of evidence; Dominance relation; Lattice-valued information systems; Rough set; ROUGH SET APPROACH; DEMPSTER-SHAFER THEORY; RULES; APPROXIMATIONS; IDEALS;
D O I：
10.1007/s13042-012-0088-6
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, as a naturally generalization of classical information systems, lattice-valued information systems based on dominance relation is proposed. An approach for ranking all objects in this system is constructed consequently, and decision makers can find objects with better property to make an useful and effective decision. In addition, the rough set approach to lattice-valued information systems based on dominance relation is established. And evidence theories in this system are formulated for the analysis of lattice-valued information systems based on dominance relation. What is more, in order to acquire concise knowledge representation and extract much simpler decision rules, the methods of attribute reductions based on discernibility matrix and evidence theory are investigated carefully. These results will be helpful for decision-making analysis in lattice-valued information systems based on dominance relation.
引用
收藏
页码：245 / 257
页数：13
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