Extensional Completed L-measure and Its Choquet Integral Regression Model

ASIAIR > College of Computer Science > Department of Biomedical informatics > Journal Article > Item 310904400/8524

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Title:	Extensional Completed L-measure and Its Choquet Integral Regression Model
Authors:	Liu, HC (Liu, Hsiang-Chuan);Chen, CC (Chen, Chin-Chun);Jheng, YD (Jheng, Yu-Du);Wu, SN (Wu, Shih-Neng)
Contributors:	Department of Bioinformatics
Keywords:	lambda-measure;P-measure;L-measure;completed L-measure;extensional completed L-measure
Date:	2009
Issue Date:	2010-03-26 02:56:37 (UTC+0)
Publisher:	Asia University
Abstract:	The well known fuzzy measures, X-measure and P-measure, have only one formulaic solution. A multivalent fuzzy measure with infinitely many solutions based on P-measure was proposed by our previous work, called completed L-measure. In this paper, a further improved fuzzy measure, called extensional completed L-measure, is proposed. This new fuzzy measure is proved that it is not only an extension of completed L-measure but also can be considered as an extension of the lambda-measure and P-measure. For evaluating the Choquet integral regression models with our proposed fuzzy measure and other different ones, a real data experiment by using a 5-fold cross-validation mean square error (MSE) is conducted. The performances of Choquet integral regression models with fuzzy measure based on extensional completed L-measure, completed L-measure, L-measure, lambda-measure, and P-measure, respectively, a ridge regression model, and a multiple linear regression model are compared. Experimental result shows that the Choquet integral regression models with respect to extensional completed L-measure based on gamma-support outperforms others forecasting models.
Relation:	ISIP: 2009 INTERNATIONAL SYMPOSIUM ON INFORMATION PROCESSING, PROCEEDINGS: 428-432
Appears in Collections:	[Department of Biomedical informatics ] Journal Article

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