Wednesday, 8 July 2009

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON INFORMATION SCIENCE AND APPLICATIONS
Transactions ID Number: 29-487
Full Name: Der-bang Wu
Position: Associate Professor
Age: ON
Sex: Male
Address: 140 Ming-sheng Road, Taichung
Country: TAIWAN
Tel: 886 936731088
Tel prefix: 886-422183506
Fax: 886-422183500
E-mail address: WuDB@hotmail.com
Other E-mails: Wu.DB@aol.tw
Title of the Paper: Theory and Application of the Composed Fuzzy Measure of L-Measure and Delta-Measures
Authors as they appear in the Paper: Hsiang-Chuan Liu, Chin-Chun Chen, Der-Bang Wu, and Tian-Wei Sheu
Email addresses of all the authors: lhc@asia.edu.tw , ccchen@mail.mhchcm.edu.tw , WUdb@hotmail.com , db.WU@aol.tw, sheu@mail.ntcu.edu.tw
Number of paper pages: 10
Abstract: The well known fuzzy measures, lambda-measure and P-measure, have only one formulaic solution. Two multivalent fuzzy measures with infinitely many solutions were proposed by our previous works, called L-measure and delta-measure, but the former do not include the additive measure as the latter and the latter has not so many measure solutions as the former. Due to the above drawbacks, in this paper, an improved fuzzy measure composed of above both, denoted LD-measure, is proposed. 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 L-delta-measure, L-measure, delta-measure, lambda-measure, and P-measure, respectively, a ridge regression model, and a multiple linear regression model are compared. Experimental result shows that the Choq!
uet integral regression models with respect to extensional L-measure based on Gamma-support outperforms others forecasting models.
Keywords: Lambda-measure, P-measure, Delta-measure, Gamma-support, composed fuzzy measure, Choquet integral regression model.
EXTENSION of the file: .pdf
Special (Invited) Session: A Novel Fuzzy Measure Composed of L-Measure and Delta-Measure
Organizer of the Session: 615-240
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