lProbabilistic Variable Precision Fuzzy Rough Sets

被引:24
作者
Aggarwal, Manish [1 ]
机构
[1] Indian Inst Management, Ahmadabad 380015, Gujarat, India
关键词
Decision making; fuzzy probabilistic information system; fuzzy rough sets; variable precision fuzzy rough sets; REDUCTION; APPROXIMATION; SIMILARITY; MODEL;
D O I
10.1109/TFUZZ.2015.2426204
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In the real world, we often encounter varying membership grades due to varying information source values. The fuzzy rough set model is refurbished to develop probabilistic variable precision fuzzy rough set (P-VP-FRS) to deal with this imprecision. The main inspiration behind the proposed P-VP-FRS is our inability to precisely represent the imprecision, which necessitates generalization in the approximations. The adjustable parameters in P-VP-FRS control the tradeoff between the generalization and accuracy. A few measures for quality of approximation and generalization are proposed. The usefulness of P-VP-FRS is shown through a case study.
引用
收藏
页码:29 / 39
页数:11
相关论文
共 30 条
[1]   FRCT: fuzzy-rough classification trees [J].
Bhatt, Rajen B. ;
Gopal, M. .
PATTERN ANALYSIS AND APPLICATIONS, 2008, 11 (01) :73-88
[2]   Approximation of fuzzy concepts in decision making [J].
Bodjanova, S .
FUZZY SETS AND SYSTEMS, 1997, 85 (01) :23-29
[3]   Fuzzy rough sets: The forgotten step [J].
De Cock, Martine ;
Cornelis, Chris ;
Kerre, Etienne E. .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2007, 15 (01) :121-130
[4]   ROUGH FUZZY-SETS AND FUZZY ROUGH SETS [J].
DUBOIS, D ;
PRADE, H .
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1990, 17 (2-3) :191-209
[5]  
Dubois D., 1992, INTELLIGENT DECISION, P203, DOI [10.1007/978-94-015-7975-9_14, DOI 10.1007/978-94-015-7975-9_14, 10.1007/978-94-015-7975-9 14, DOI 10.1007/978-94-015-7975-914]
[6]   Fuzzy probabilistic approximation spaces and their information measures [J].
Hu, QH ;
Yu, DR ;
Xie, ZX ;
Liu, JF .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2006, 14 (02) :191-201
[7]   Information-preserving hybrid data reduction based on fuzzy-rough techniques [J].
Hu, QH ;
Yu, DR ;
Xie, ZX .
PATTERN RECOGNITION LETTERS, 2006, 27 (05) :414-423
[8]   Hybrid attribute reduction based on a novel fuzzy-rough model and information granulation [J].
Hu, Qinghua ;
Xie, Zongxia ;
Yu, Daren .
PATTERN RECOGNITION, 2007, 40 (12) :3509-3521
[9]   Gaussian kernel based fuzzy rough sets: Model, uncertainty measures and applications [J].
Hu, Qinghua ;
Zhang, Lei ;
Chen, Degang ;
Pedrycz, Witold ;
Yu, Daren .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2010, 51 (04) :453-471
[10]   Semantics-preserving dimensionality reduction: Rough and fuzzy-rough-based approaches [J].
Jensen, R ;
Shen, Q .
IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING, 2004, 16 (12) :1457-1471