Stage-dependent fuzzy-valued loss function in two-stage binary classifier

被引:0
作者
Burduk, Robert [1 ]
机构
[1] Wroclaw Univ Technol, Chair Syst & Comp Network, PL-50370 Wroclaw, Poland
来源
INNOVATIONS IN HYBRID INTELLIGENT SYSTEMS | 2007年 / 44卷
关键词
Bayes rule; multistage classifier; fuzzy loss function;
D O I
暂无
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, a model to deal with two-stage Bayesian classifier, under the assumption of complete probabilistic information, is introduced. The loss function in our problem is stage-dependent fuzzy-valued. This fuzzy loss function means that the loss depends on the stage at which misclassification is made. The model is firstly based on the notion of fuzzy random variable and secondly on the subjective ranking of fuzzy number defined by Campos and Gonzalez. The comparison with crisp stage-dependent loss function is given. Finally, an example illustrating this case of Bayesian analysis is considered.
引用
收藏
页码:48 / 55
页数:8
相关论文
共 16 条
[1]   RATING AND RANKING OF MULTIPLE-ASPECT ALTERNATIVES USING FUZZY SETS [J].
BAAS, SM ;
KWAKERNAAK, H .
AUTOMATICA, 1977, 13 (01) :47-58
[2]  
Berger JO., 1985, STAT DECISION THEORY, DOI DOI 10.1007/978-1-4757-4286-2
[3]   A REVIEW OF SOME METHODS FOR RANKING FUZZY SUBSETS [J].
BORTOLAN, G ;
DEGANI, R .
FUZZY SETS AND SYSTEMS, 1985, 15 (01) :1-19
[4]   Two-stage binary classifier with fuzzy-valued loss function [J].
Burduk, Robert ;
Kurzynski, Marek .
PATTERN ANALYSIS AND APPLICATIONS, 2006, 9 (04) :353-358
[5]  
CAMPOS LM, 1989, FUZZY SETS SYSTEMS, V29, P145, DOI DOI 10.1016/0165-0114(89)90188-7
[6]  
Domingos P., 1999, Proceedings of the Fifth ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, P155
[7]   Fundamentals and Bayesian analyses of decision problems with fuzzy-valued utilities [J].
Gil, MA ;
LopezDiaz, M .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 1996, 15 (03) :203-224
[8]  
GIL MA, 1996, P 6 INT C INF PROC M, P495
[9]   Theoretical and experimental analysis of a two-stage system for classification [J].
Giusti, N ;
Masulli, F ;
Sperduti, A .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2002, 24 (07) :893-904
[10]  
JAIN R, 1976, IEEE T SYST MAN CYB, V6, P698