Title
On The Uniqueness Of The Expression For The Choquet Integral With Linear Core In Classification
Abstract
The Choquet integral has been applied in data mining, such as nonlinear multiregressions and nonlinear classifications. Adopting signed efficiency measures in the Choquet integral makes the models more powerful. Another idea for generalizing the above-mensioned models is to use a linear core in the Choquet integral. This has been successfully used in nonlinear mulregression. However, there is a uniqueness problem for presenting the Choquet integral in classification models such that it is difficult to explain the exact contribution rate from each individual attributes, as well as their combinations, towards the target. In this work, an additional restriction on the parameters is given to guarantee the uniqueness of the expression.
Year
DOI
Venue
2009
10.1109/GRC.2009.5255017
2009 IEEE INTERNATIONAL CONFERENCE ON GRANULAR COMPUTING ( GRC 2009)
Keywords
Field
DocType
Fuzzy measures, nonlinear integrals, classification, data mining
Applied mathematics,Nonlinear system,Fuzzy set,Choquet theory,Artificial intelligence,Choquet integral,Uniqueness,Mathematical optimization,Pattern recognition,Generalization,Fuzzy measure theory,Probability density function,Mathematics
Conference
Citations 
PageRank 
References 
0
0.34
4
Authors
3
Name
Order
Citations
PageRank
Weiwei Zhang100.34
Wei Chen200.34
Zhenyuan Wang368490.22