Probabilistic Rough Set Model Based on Dominance Relation

被引：13
作者：
Li, Wentao
Xu, Weihua [1 ,2 ]
机构：
[1] Chongqing Univ Technol, Chongqing 400054, Peoples R China
[2] Nanjing Univ Sci Technol, Minist Educ, Key Lab Intelligent Precept & Syst High Dimens In, Nanjing 210094, Peoples R China
来源：
ROUGH SETS AND KNOWLEDGE TECHNOLOGY, RSKT 2014 | 2014年 / 8818卷
关键词：
Dominance relation; Probabilistic rough set; Partition function; Probability space; ORDERED INFORMATION-SYSTEM; CLASSIFICATION; FRAMEWORK; RULES;
D O I：
10.1007/978-3-319-11740-9_78
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Unlike Pawlak rough set, probabilistic rough set models allow a tolerance inaccuracy in lower and upper approximations. Dominance relation cannot establish probability measure space for the universe. In this paper, the basic set assignment function, namely partition function is introduced into our work, which can transform the non-probability measure generated by dominance relation into a probability measure space. The probabilistic rough set model is established based on dominance relation, and explained clearly through an example.
引用
收藏
页码：856 / 863
页数：8
相关论文
共 18 条
[1]   Analyzing uncertainties of probabilistic rough set regions with game-theoretic rough sets [J].
Azam, Nouman ;
Yao, JingTao .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2014, 55 (01) :142-155
[2]  
Benferhat S., 2014, FUZZY SET SYSTEMS, V144, P25
[3]   Rough approximation by dominance relations [J].
Greco, S ;
Matarazzo, B ;
Slowinski, R .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2002, 17 (02) :153-171
[4]  
Greco S, 2007, LECT NOTES ARTIF INT, V4481, P134
[5]   On an optimization representation of decision-theoretic rough set model [J].
Jia, Xiuyi ;
Tang, Zhenmin ;
Liao, Wenhe ;
Shang, Lin .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2014, 55 (01) :156-166
[6]  
Kusunoki Y, 2013, LECT NOTES ARTIF INT, V8171, P133, DOI 10.1007/978-3-642-41299-8_13
[7]   A Multiple-category Classification Approach with Decision-theoretic Rough Sets [J].
Liu, Dun ;
Li, Tianrui ;
Li, Huaxiong .
FUNDAMENTA INFORMATICAE, 2012, 115 (2-3) :173-188
[8]   Multigranulation decision-theoretic rough sets [J].
Qian, Yuhua ;
Zhang, Hu ;
Sang, Yanli ;
Liang, Jiye .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2014, 55 (01) :225-237
[9]   Dominance relation and rules in an incomplete ordered information system [J].
Shao, MW ;
Zhang, WX .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2005, 20 (01) :13-27
[10]  
Susmaga R, 2000, CONTROL CYBERN, V29, P969
12