CLASSIFICATION BY FUZZY INTEGRAL - PERFORMANCE AND TESTS

被引:179
作者
GRABISCH, M
NICOLAS, JM
机构
[1] Thomson-CSF, Central Research Laboratory, Domaine de Corbeville
关键词
PATTERN RECOGNITION; MULTICRITERIA DECISION; FUZZY PATTERN MATCHING; FUZZY MEASURE; FUZZY INTEGRAL;
D O I
10.1016/0165-0114(94)90023-X
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper presents an attempt to characterize the performance of methods of classification based on fuzzy integral. After an introductory explanation about the approach, a lower bound of the minimal number of training samples is found, and it is shown that a minimum squared error criterion leads to the best approximate for the optimal Bayes classifier. Some tests on simulated and real data are provided.
引用
收藏
页码:255 / 271
页数:17
相关论文
共 22 条
[11]   A FUZZY K-NEAREST NEIGHBOR ALGORITHM [J].
KELLER, JM ;
GRAY, MR ;
GIVENS, JA .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1985, 15 (04) :580-585
[12]  
KELLER JM, 1986, JUN P NAFIPS NEW ORL, P324
[13]  
KELLER JM, 1992, 1 IEEE INT C FUZZ SY, P661
[14]   AN INTERPRETATION OF FUZZY MEASURES AND THE CHOQUET INTEGRAL AS AN INTEGRAL WITH RESPECT TO A FUZZY MEASURE [J].
MUROFUSHI, T ;
SUGENO, M .
FUZZY SETS AND SYSTEMS, 1989, 29 (02) :201-227
[15]   A THEORY OF FUZZY MEASURES - REPRESENTATIONS, THE CHOQUET INTEGRAL, AND NULL SETS [J].
MUROFUSHI, T ;
SUGENO, M .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 159 (02) :532-549
[16]   FUZZY T-CONORM INTEGRAL WITH RESPECT TO FUZZY MEASURES - GENERALIZATION OF SUGENO INTEGRAL AND CHOQUET INTEGRAL [J].
MUROFUSHI, T ;
SUGENO, M .
FUZZY SETS AND SYSTEMS, 1991, 42 (01) :57-71
[17]  
NGUYEN HT, IN PRESS FUNDAMENTAL
[18]  
Ruck D W, 1990, IEEE Trans Neural Netw, V1, P296, DOI 10.1109/72.80266
[19]  
Sugeno M., 1974, THESIS TOKYO I TECHN
[20]   INFORMATION FUSION IN COMPUTER VISION USING THE FUZZY INTEGRAL [J].
TAHANI, H ;
KELLER, JM .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1990, 20 (03) :733-741