Author(s): Liu, HC (Liu, Hsiang-Chuan); Chen, CC (Chen, Chin-Chun); Jheng, YD (Jheng, Yu-Du); Wu, SN (Wu, Shih-Neng)
Editor(s): Yu, F; Shu, J; Yue, G
Title: Extensional Completed L-measure and Its Choquet Integral Regression Model Source: ISIP: 2009 INTERNATIONAL SYMPOSIUM ON INFORMATION PROCESSING, PROCEEDINGS: 428-432 2009
Language: English
Document Type: Proceedings Paper
Author Keywords: lambda-measure; P-measure; L-measure; completed L-measure;
extensional completed L-measure
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.
Addresses: [Liu, Hsiang-Chuan; Wu, Shih-Neng] Asia Univ, Dept Bioinformat, Taichung, Taiwan
Reprint Address: Liu, HC, Asia Univ, Dept Bioinformat, Taichung, Taiwan.
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Cited Reference Count: 12 Times Cited: 0
Publisher: ACAD PUBL
Publisher Address: PO BOX 40, OULU, FIN-90571, FINLAND ISBN: 978-952-5726-02-2
Source Item Page Count: 5 ISI Document Delivery No.: BNI86
