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A Simulation Study on Choquet Integral with Respect to Extensional L- Measure

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Abstract:

In this paper, an Monte Carlo simulation study method with 5- fold cross-validation MSE is used, a simulation experiment data and a real data set are conducted, for comparing the performances of a multiple linear regression model, a ridge regression model, and the Choquet integral regression model with respect to two well-known fuzzy measures, P-measure and λ-measure, and two new fuzzy measures proposed by authors’ previous works, L-measure and extensional L-measure, respectively. Both of the results show that the Choquet integral regression model with respect to extensional L-measure has the best performance.

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Periodical:

Applied Mechanics and Materials (Volumes 44-47)

Pages:

3647-3651

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.44-47.3647

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Cite this paper

Online since:

December 2010

Authors:

Hsu Chan Yao, Hsiang Chuan Liu, Yu Du Jheng

Keywords:

Choquet Integral, Extensional L-Measure, Fuzzy Measure, Simulation, λ-Measure

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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