Title
Nonlinear Classification By Linear Programming With Signed Fuzzy Measures
Abstract
Linear programming (LP) based models provide good solutions to classification problem especially when the data is linearly separable. The assumption of LP classification models is: the contributions from all attributes towards the classification model are the sum of contributions of each attribute. This assumption leads to a weakness of LP classification models when data is linearly inseparable. The concept of signed fuzzy measure is introduced and utilized in LP approach in order to enhance the classification power through capturing all possible interactions among any two or more attributes. The use of the Choquet integral with respect to a signed fuzzy measure on LP model is able to separate the data that is linearly inseparable.
Year
DOI
Venue
2006
10.1109/FUZZY.2006.1681744
2006 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-5
Keywords
Field
DocType
linear program,linear programming,integral equations,fuzzy set theory,choquet integral
Linear separability,Mathematical optimization,Fuzzy classification,Computer science,Fuzzy logic,Fuzzy measure theory,Integral equation,Fuzzy set,Linear programming,Choquet integral
Conference
ISSN
Citations 
PageRank 
1098-7584
2
0.41
References 
Authors
4
4
Name
Order
Citations
PageRank
Nian Yan1777.72
Zhenyuan Wang268490.22
Yu Shi33208264.97
Zhengxin Chen434143.34