Title
Classification with Choquet Integral with Respect to Signed Non-additive Measure
Abstract
In order to better understand the nature of classification, a data modeling-based perspective is needed. When the attributes in the database have high interactions that make the non-linear relationships, the use of linear model as the aggregation tool for data modeling is not appropriate. With this consideration, in this paper, we studied the Choquet integral with respect to signed non-additive measure to aggregate the data and proposed a new classification method. We discussed the basic idea and mathematical framework of the non-additive measure and its geometric meaning. Based on the theoretical works, we conducted an experimental test by comparing our approach with others on a real life classification problem on credit card holders' data set with high dimensionality was shown to demonstrate the effectiveness and efficiency of the proposed approach.
Year
DOI
Venue
2007
10.1109/ICDMW.2007.125
ICDM Workshops
Keywords
Field
DocType
database attributes,new classification method,choquet integral,integral equations,non-additive measure,pattern classification,real life classification problem,aggregation tool,data modeling-based perspective,basic idea,signed nonadditive measure,high interaction,data models,data mining,high dimensionality,classification,data modeling,linear model,geometric mean,data model
Data mining,Data modeling,Linear model,Computer science,Integral equation,Credit card,Curse of dimensionality,Artificial intelligence,Choquet integral,Machine learning
Conference
ISBN
Citations 
PageRank 
978-0-7695-3033-8
2
0.38
References 
Authors
7
3
Name
Order
Citations
PageRank
Nian Yan1777.72
Zhenyuan Wang268490.22
Zhengxin Chen334143.34