Dominance-based fuzzy rough set approach for incomplete interval-valued data

被引：40

作者：

Dai, Jianhua ^{[1
,2
,3
]}

Yan, Yuejun ^{[3
]}

Li, Zhaowen ^{[4
]}

Liao, Beishui ^{[5
]}

机构：

[1] Hunan Normal Univ, Key Lab High Performance Comp & Stochast Informat, Minist Educ China, Changsha, Hunan, Peoples R China

[2] Hunan Normal Univ, Coll Informat Sci & Engn, Changsha, Hunan, Peoples R China

[3] Tianjin Univ, Sch Comp Sci & Technol, Tianjin, Peoples R China

[4] Guangxi Univ Nationalities, Coll Sci, Nanning, Guangxi, Peoples R China

[5] Zhejiang Univ, Ctr Study Language & Cognit, Hangzhou, Zhejiang, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2018年 / 34卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Dominance-based fuzzy rough set approach; incomplete interval-valued data; uncertainty measurement; conditional entropy; attribute reduction; ATTRIBUTE SELECTION; SYSTEMS; MODEL;

D O I：

10.3233/JIFS-17178

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Interval-valued information systems are general models of single-valued information systems. Interval-values appear to a way to describe the uncertainty that affects the observed objects. However, there are relatively few studies on incomplete interval-valued data. The aim of this paper is to present a dominance-based fuzzy rough set approach to incomplete interval-valued information systems. A fuzzy dominance relation which aims to describe the degree of dominance in terms of pairs of objects is proposed. Based on the proposed relation, we extend the definitions of fuzzy approximation operators and investigate the uncertainty measurement issue. A new form of fuzzy conditional entropy to measure attribute importance is presented. Meanwhile, a corresponding heuristic attribute reduction algorithm is constructed for incomplete interval-valued decision systems. Experiments show that the presented fuzzy conditional entropy and the proposed algorithm are effective.

引用

页码：423 / 436

页数：14