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    Please use this identifier to cite or link to this item: http://asiair.asia.edu.tw/ir/handle/310904400/16635


    Title: Theory of multivalent delta-fuzzy measures and its application
    Authors: 劉湘川;Liu, Hsiang-Chuan
    Contributors: 生物與醫學資訊學系
    Keywords: "Lambda-measure;P-measure;Delta-measure;Gamma-support;Choquet integral regression model. "
    Date: 2010
    Issue Date: 2012-11-23 17:15:20 (UTC+8)
    Abstract: "The well known fuzzy measures, Lambda-measure and
    P-measure, have only one formulaic solution, the former is not a
    closed form, and the latter is not sensitive enough. In this paper, a
    novel fuzzy measure, called Delta-measure, is proposed. This new
    measure proves to be a multivalent fuzzy measure which provides
    infinitely many solutions to closed form, and it can be considered as an
    extension of the above two measures. In other words, the above two
    fuzzy measures can be treated as the special cases of Delta-measure.
    For evaluating the Choquet integral regression models with our
    proposed fuzzy measure and other different ones, a real data
    experiment by using a 5-fold cross-validation mean square error
    (MSE) is conducted. The performances of Choquet integral regression
    models with fuzzy measure based on Delta-measure, Lambda-measure
    and P-measure, respectively, a ridge regression model and a multiple
    linear regression model are compared. Experimental result shows that
    the Choquet integral regression models with respect to Delta-measure
    based on Gamma-support outperforms other forecasting models. "
    Relation: WSEAS Transactions on Information Science and Applications
    Appears in Collections:[生物資訊與醫學工程學系 ] 期刊論文

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