Function approximation by fuzzy rough sets

被引:2
作者
Inuiguchi, M [1 ]
Tanino, T [1 ]
机构
[1] Osaka Univ, Grad Sch Engn, Suita, Osaka 5650871, Japan
来源
INTELLIGENT SYSTEMS FOR INFORMATION PROCESSING: FROM REPRESENTATION TO APPLICATIONS | 2003年
关键词
fuzzy rough sets; approximation; continuous attribute; inference;
D O I
10.1016/B978-044451379-3/50007-8
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we show a possible application of fuzzy rough sets to function approximation based on decision tables. Through this study, we demonstrate that continuous attribute values can be treated by fuzzy rough sets. A general approach for reasoning of decision attribute values from condition attribute values based on a given decision table is presented. A specific method in one dimensional case is discussed and some properties of the method are shown. Some modifications are applied for getting a better approximation and a smaller body of rules.
引用
收藏
页码:93 / 104
页数:12
相关论文
共 14 条
[1]  
[Anonymous], 1999, MULTICRITERIA DECISI
[2]  
[Anonymous], 1988, Note on multiple-valued logic in japan
[3]   ROUGH FUZZY-SETS AND FUZZY ROUGH SETS [J].
DUBOIS, D ;
PRADE, H .
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1990, 17 (2-3) :191-209
[4]  
Dubois D., 1992, Putting Rough Sets and Fuzzy Sets Together, P203, DOI [10.1007/978-94-015-7975-9_14, DOI 10.1007/978-94-015-7975-9_14]
[5]   Rough approximation of a preference relation by dominance relations [J].
Greco, S ;
Matarazzo, B ;
Slowinski, R .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1999, 117 (01) :63-83
[6]  
Inuiguchi M., 2000, Fundamenta Informaticae, V42, P279
[7]  
INUIGUCHI M, 2002, ROUGH NEURO COMPUTIN
[8]  
Inuiguchi M, 2001, B INT ROUGH SET SOC, V2253, P295, DOI 10.1007/3-540-45548-5_34
[9]   ROUGH SETS [J].
PAWLAK, Z .
INTERNATIONAL JOURNAL OF COMPUTER & INFORMATION SCIENCES, 1982, 11 (05) :341-356
[10]  
Pawlak Z, 1991, Rough sets: Theoretical aspects of reasoning about data, V9, DOI DOI 10.1007/978-94-011-3534-4