The choquet integral with respect to λ,-measure based on γ-support

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Title:	The choquet integral with respect to λ,-measure based on γ-support
Authors:	Liu, Hsiang-Chuan;Tu, Yu-Chieh;Chen, Chin-Chun;Weng, Wei-Sheng
Contributors:	Department of Bioinformatics
Keywords:	Control theory;Cybernetics;Integral equations;Learning systems;Mean square error;Robot learning;C-support;Choquet integrals;Cross validations;Fuzzy measure;Fuzzy support;Improved methods;Independent variables;Mean squares;Multicollinearity;Multiple regression models;Real datums;Regression models;Ridge regressions;V-support
Date:	2008
Issue Date:	2010-04-08 12:06:10 (UTC+0)
Publisher:	Asia University
Abstract:	hen the multicollinearity between independent variables occurs in the multiple regression models, its performance will always be poor. The traditional improved method which is always used is the ridge regression model. Recently, the Choquet integral regression model with fuzzy measure can further be exploited to improve this situation. In this study, we found that based on different fuzzy support, the Choquet integral regression model with the same fuzzy measure may have different performances, three kinds of fuzzy supports, C-support, V-support and γ-support proposed by our work were considered. For evaluating the performances of the Choquet integral regression models with P-measure or λ-measure based on above different fuzzy supports, a real data experiment by using a 5-fold cross-validation mean square error (MSE) is conducted. Experimental result shows that the Choquet integral regression model with λ-measure based on γ-support has the best performance. © 2008 IEEE.
Relation:	Proceedings of the 7th International Conference on Machine Learning and Cybernetics, ICMLC 6 :3602-3606
Appears in Collections:	[生物資訊與醫學工程學系 ] 會議論文

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