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
收藏
页码：423 / 436
页数：14
相关论文
共 41 条
[1]  
[Anonymous], 2008, TECHNICAL REPORT
[2]  
Dai J., IEEE T FUZZY SYST, DOI [10.1109/TFUZ-Z.2017.2698420, DOI 10.1109/TFUZ-Z.2017.2698420]
[3]  
Dai J., IEEE T FUZZY SYST, DOI [10.1109/T-FUZZ.2017.2768044, DOI 10.1109/T-FUZZ.2017.2768044]
[4]   Attribute Selection for Partially Labeled Categorical Data By Rough Set Approach [J].
Dai, Jianhua ;
Hu, Qinghua ;
Zhang, Jinghong ;
Hu, Hu ;
Zheng, Nenggan .
IEEE TRANSACTIONS ON CYBERNETICS, 2017, 47 (09) :2460-2471
[5]   Catoptrical rough set model on two universes using granule-based definition and its variable precision extensions [J].
Dai, Jianhua ;
Han, Huifeng ;
Zhang, Xiaohong ;
Liu, Maofu ;
Wan, Shuping ;
Liu, Jun ;
Lu, Zhenli .
INFORMATION SCIENCES, 2017, 390 :70-81
[6]   Probability approach for interval-valued ordered decision systems in dominance-based fuzzy rough set theory [J].
Dai, Jianhua ;
Zheng, Guojie ;
Han, Huifeng ;
Hu, Qinghua ;
Zheng, Nenggan ;
Liu, Jun ;
Zhang, Qilai .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (01) :703-710
[7]   Decision-theoretic rough set approach for fuzzy decisions based on fuzzy probability measure and decision making [J].
Dai, Jianhua ;
Zheng, Guojie ;
Hu, Qinghua ;
Liu, Maofu ;
Su, Huashi .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 31 (03) :1341-1353
[8]   Discrete particle swarm optimization approach for cost sensitive attribute reduction [J].
Dai, Jianhua ;
Han, Huifeng ;
Hu, Qinghua ;
Liu, Maofu .
KNOWLEDGE-BASED SYSTEMS, 2016, 102 :116-126
[9]   Uncertainty measurement for interval-valued information systems [J].
Dai, Jianhua ;
Wang, Wentao ;
Mi, Ju-Sheng .
INFORMATION SCIENCES, 2013, 251 :63-78
[10]   Entropy measures and granularity measures for set-valued information systems [J].
Dai, Jianhua ;
Tian, Haowei .
INFORMATION SCIENCES, 2013, 240 :72-82
12345