Paper Title:
A Simulation Study on Choquet Integral with Respect to Extensional L- Measure
  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.

  Info
Periodical
Edited by
Ran Chen
Pages
3647-3651
DOI
10.4028/www.scientific.net/AMM.44-47.3647
Citation
H. C. Yao, H. C. Liu, Y. D. Jheng, "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
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Shu Juan Lee, Hsiang Chuan Liu, Shih Ming Chen, Yu Du Jheng
Abstract:In this study, the Web-based Multi-Survey System was adopted, one or two choices available among five options, to set up questionnaire to get...
3844
Authors: Hsiang Chuan Liu, Wei Sung Chen, Chin Chun Chen, Yu Du Jheng, Der Bang Wu
Abstract:In this paper, a generalized multivalent fuzzy measure of extensional L-measure, called high order extensional L-measure, is proposed. It is...
3579
Authors: Hsiang Chuan Liu, Bai Cheng Jeng, Yen Kuei Yu, Shang Ling Ou, Yih Chang Ou, Hsien Chang Tsai
Chapter 5: Welding & Joining
Abstract:In this paper, based on L-measure and O-density, a novel composition forecasting model is proposed. For evaluating this new composition...
1245
Authors: Hsiang Chuan Liu, Wei Sung Chen, Ben Chang Shia, Chia Chen Lee, Shang Ling Ou, Yih Chang Ou, Chih Hsiung Su
Chapter 11: Methods and Algorithms for Processing and Analysis of Data
Abstract:In this paper, a novel fuzzy measure, high order lambda measure, was proposed, based on the Choquet integral with respect to this new...
3111
Authors: Xiang Jun Ji, Zan Zhang, Fa Chao Li
Chapter 3: Measurement and Instrumentation, Monitoring and Detection Technologies, Fault Diagnosis
Abstract:To solve the problem of attributes interdependence and correlation in comprehensive evaluation, the paper proposes to identify the...
987