Choquet Integral with Respect to High Order Extensional L- Measure

Hsiang Chuan Liu; Wei Sung Chen; Chin Chun Chen; Yu Du Jheng; Der Bang Wu

doi:10.4028/www.scientific.net/AMM.44-47.3579

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 44-47Choquet Integral with Respect to High Order...

Choquet Integral with Respect to High Order Extensional L- Measure

Abstract:

In this paper, a generalized multivalent fuzzy measure of extensional L-measure, called high order extensional L-measure, is proposed. It is proved that if the value of order index is equal to one, this new measure is just the extensional L-measure, and the larger the value of order index is, the more sensitive it is. A real data set with 5- fold cross-validation MSE is conducted, for comparing the performances of the Choquet integral regression model based on this new measure with other four measures, P-measure and λ-measure, and authors’ two measures, L-measure and extensional L-measure, and two traditional regression model, multiple regression model and ridge regression model, the result show that the Choquet integral regression model based on this new measure has the best performance.

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Periodical:

Applied Mechanics and Materials (Volumes 44-47)

Pages:

3579-3583

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.44-47.3579

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Online since:

December 2010

Authors:

Hsiang Chuan Liu, Wei Sung Chen, Chin Chun Chen, Yu Du Jheng, Der Bang Wu

Keywords:

Choquet Integral, Extensional L-Measure, Fuzzy Measure, High Order Extensional L-Measure, λ-Measure

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