Title
A hybrid nonlinear classifier based on generalized choquet integrals
Abstract
In this new hybrid model ofnonlinear classifier, unlike the classical linear classifier where the feature attributes influence the classifying attribute independently, the interaction among the influences from the feature attributes toward the classifying attribute is described by a signed fuzzy measure. An optimized Choquet integral with respect to an optimized signed fuzzy measure is adopted as a nonlinear projector to map each observation from the sample space onto a one-dimensional space. Thus, combining a criterion concerning the weighted Euclidean distance, the new linear classifier also takes account of the elliptic-clustering character of the classes and, therefore, is much more powerful than some existing classifiers. Such a classifier can be applied to deal with data even having classes with some complex geometrical shapes such as crescent (cashew-shaped) classes.
Year
DOI
Venue
2004
10.1007/978-3-540-30537-8_4
CASDMKM
Keywords
Field
DocType
complex geometrical shape,one-dimensional space,classical linear classifier,sample space,classifying attribute,existing classifier,fuzzy measure,hybrid nonlinear classifier,new hybrid model ofnonlinear,generalized choquet integral,new linear classifier,feature attribute,choquet integral,euclidean distance
Pattern recognition,Fuzzy logic,Euclidean distance,Fuzzy measure theory,Artificial intelligence,Choquet integral,Classifier (linguistics),Margin classifier,Linear classifier,Sample space,Mathematics
Conference
Volume
ISSN
ISBN
3327
0302-9743
3-540-23987-1
Citations 
PageRank 
References 
1
0.40
7
Authors
4
Name
Order
Citations
PageRank
Zhenyuan Wang168490.22
Hai-Feng Guo220426.41
Yu Shi33208264.97
Kwong-Sak Leung41887205.58