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

Abstract:

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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:

Edited by:

Ran Chen

Pages:

3647-3651

DOI:

10.4028/www.scientific.net/AMM.44-47.3647

Citation:

H. C. Yao et al., "A Simulation Study on Choquet Integral with Respect to Extensional L- Measure", Applied Mechanics and Materials, Vols. 44-47, pp. 3647-3651, 2011

Online since:

December 2010

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$35.00

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