Attribute reduction based on generalized fuzzy evidence theory in fuzzy decision systems

被引：39
作者：
Yao, Yan-Qing [1 ,2 ]
Mi, Ju-Sheng [3 ]
Li, Zhou-Jun [1 ,2 ,4 ]
机构：
[1] Beihang Univ, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China
[2] Beihang Univ, Sch Comp Sci & Engn, Beijing 100191, Peoples R China
[3] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Hebei, Peoples R China
[4] Beihang Univ, Beijing Key Lab Network Technol, Beijing 100191, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2011年 / 170卷 / 01期
基金：
高等学校博士学科点专项科研基金;
关键词：
Fuzzy decision systems; Attribute reduction; Generalized fuzzy evidence theory; Reducts; DEMPSTER-SHAFER THEORY; INCOMPLETE INFORMATION-SYSTEMS; KNOWLEDGE REDUCTION; ROUGH SETS; BELIEF FUNCTIONS; OPERATORS;
D O I：
10.1016/j.fss.2011.01.008
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Attribute reduction is viewed as an important issue in data mining and knowledge representation. This paper studies attribute reduction in fuzzy decision systems based on generalized fuzzy evidence theory. The definitions of several kinds of attribute reducts are introduced. The relationships among these reducts are then investigated. In a fuzzy decision system, it is proved that the concepts of fuzzy positive region reduct, lower approximation reduct and generalized fuzzy belief reduct are all equivalent, the concepts of fuzzy upper approximation reduct and generalized fuzzy plausibility reduct are equivalent, and a generalized fuzzy plausibility consistent set must be a generalized fuzzy belief consistent set. In a consistent fuzzy decision system, an attribute set is a generalized fuzzy belief reduct if and only if it is a generalized fuzzy plausibility reduct. But in an inconsistent fuzzy decision system, a generalized fuzzy belief reduct is not a generalized fuzzy plausibility reduct in general. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：64 / 75
页数：12
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