Choquet integral with respect to extensional completed L-measure based on N-density

Hsiang Chuan Liu, Yen Kuei Yu, Hsien-Chang Tsai, Tung Sheng Liu

Research output: Contribution to journalArticle

Abstract

In this paper, a new fuzzy density function, called N-density, is proposed. A real data set about Students Valuing Science with 5-fold cross-validation RMSE is conducted, for comparing the performances of the Choquet integral regression model with respect to six measures, Pmeasure, λ-measure, L-measure, extensional L-measure, completed L-measure and extensional completed L-measure based on this new density and the old fuzzy support fuzzy density function, R-density, respectively, and two traditional regression model, multiple regression model and ridge regression model, the results show that the Choquet integral regression model with respect to each given fuzzy measure based on the new fuzzy density function is better than which based on the old fuzzy density function, and among all of the regression models, Choquet integral with respect to extensional completed L-measure based on N-density has the best performance.

Original languageEnglish
Pages (from-to)1122-1129
Number of pages8
JournalJournal of Computers
Volume7
Issue number5
DOIs
Publication statusPublished - 2012 May 2

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Probability density function
Students

All Science Journal Classification (ASJC) codes

  • Computer Science(all)

Cite this

Liu, Hsiang Chuan ; Yu, Yen Kuei ; Tsai, Hsien-Chang ; Liu, Tung Sheng. / Choquet integral with respect to extensional completed L-measure based on N-density. In: Journal of Computers. 2012 ; Vol. 7, No. 5. pp. 1122-1129.
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Choquet integral with respect to extensional completed L-measure based on N-density. / Liu, Hsiang Chuan; Yu, Yen Kuei; Tsai, Hsien-Chang; Liu, Tung Sheng.

In: Journal of Computers, Vol. 7, No. 5, 02.05.2012, p. 1122-1129.

Research output: Contribution to journalArticle

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