Title
Choquet distances and their applications in data classification.
Abstract
In the last decades, numerous optimization-based methods have been proposed for solving classification problems in pattern recognition. These methods mainly construct a straight line or a hyperplane to separate a given data set to be two classes. In this paper, we propose a new nonlinear classifier based on the Choquet integral with respect to a signed efficiency measure, and the boundary is a broken line (two considered attributes) or a Choquet broken-hyperplane (more considered attributes). Firstly, the Choquet distance of two points in n-dimensional space is proposed. Secondly, according to the Choquet distance, two nonlinear classification optimal models are presented. Finally, some experimental results show that the efficiency of the models for solving classification problems. The related results enrich the research of classification problems in pattern recognition.
Year
DOI
Venue
2017
10.3233/JIFS-16249
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Keywords
Field
DocType
Nonlinear classification,signed efficiency measure,Choquet integral,Choquet distance
Artificial intelligence,Data classification,Mathematics,Machine learning
Journal
Volume
Issue
ISSN
33
1
1064-1246
Citations 
PageRank 
References 
0
0.34
10
Authors
4
Name
Order
Citations
PageRank
Yingcang Ma1138.88
Hong Chen22613.38
Weini Song300.34
Zhenyuan Wang468490.22