Choquet Integral Regression Model based on Extensional L-Measure
碩士 === 國立臺中教育大學 === 教育測驗統計研究所 === 98 === When multicollinearity among independent variables exist in forecasting problems, the performance of the multiple linear regression model is not good enough. The traditional improved methods exploited the ridge regression models. In recent years, a improved m...
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ndltd-TW-098NTCTC6290132016-04-25T04:26:50Z http://ndltd.ncl.edu.tw/handle/87542414140960260252 Choquet Integral Regression Model based on Extensional L-Measure 廣義L測度及其Choquet積分迴歸模式 Yen-Kuei Yu 余諺奎 碩士 國立臺中教育大學 教育測驗統計研究所 98 When multicollinearity among independent variables exist in forecasting problems, the performance of the multiple linear regression model is not good enough. The traditional improved methods exploited the ridge regression models. In recent years, a improved method, Choquet integral regression model with monotone measure, was proposed. L-measure is a multivalent monotone measure, which has better performance than other measures with infinite solutions, but it dose not include additive measure. In this study, a improved monotone measure, extensional L-measure, is developed. P-measure, additive measure, and λ-measure are kinds of special case of extensional L-measure. For evaluating the Choquet integral regression models with our developed fuzzy measure and other different ones, an educational data experiment by using 5-fold cross-validation mean square error (MSE) is conducted. The performances of Choquet integral regression models with monotone measure based on respective extensional L-measure , L-measure, λ-measure, and P-measure, a ridge regression model, and a multiple linear regression model are compared.Experimental result shows that the Choquet integral regression models with extensional L-measure outperforms others forecasting models. Hsiang-Chuan Liu Tian-Wei Sheu 劉湘川 許天維 2010 學位論文 ; thesis 32 zh-TW |
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碩士 === 國立臺中教育大學 === 教育測驗統計研究所 === 98 === When multicollinearity among independent variables exist in forecasting problems, the performance of the multiple linear regression model is not good enough. The traditional improved methods exploited the ridge regression models. In recent years, a improved method, Choquet integral regression model with monotone measure, was proposed.
L-measure is a multivalent monotone measure, which has better performance than other measures with infinite solutions, but it dose not include additive measure. In this study, a improved monotone measure, extensional L-measure, is developed. P-measure, additive measure, and λ-measure are kinds of special case of extensional L-measure.
For evaluating the Choquet integral regression models with our developed fuzzy measure and other different ones, an educational data experiment by using 5-fold cross-validation mean square error (MSE) is conducted.
The performances of Choquet integral regression models with monotone measure based on respective extensional L-measure , L-measure, λ-measure, and P-measure, a ridge regression model, and a multiple linear regression model are compared.Experimental result shows that the Choquet integral regression models with extensional L-measure outperforms others forecasting models.
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Hsiang-Chuan Liu |
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Hsiang-Chuan Liu Yen-Kuei Yu 余諺奎 |
author |
Yen-Kuei Yu 余諺奎 |
spellingShingle |
Yen-Kuei Yu 余諺奎 Choquet Integral Regression Model based on Extensional L-Measure |
author_sort |
Yen-Kuei Yu |
title |
Choquet Integral Regression Model based on Extensional L-Measure |
title_short |
Choquet Integral Regression Model based on Extensional L-Measure |
title_full |
Choquet Integral Regression Model based on Extensional L-Measure |
title_fullStr |
Choquet Integral Regression Model based on Extensional L-Measure |
title_full_unstemmed |
Choquet Integral Regression Model based on Extensional L-Measure |
title_sort |
choquet integral regression model based on extensional l-measure |
publishDate |
2010 |
url |
http://ndltd.ncl.edu.tw/handle/87542414140960260252 |
work_keys_str_mv |
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