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    Please use this identifier to cite or link to this item: http://asiair.asia.edu.tw/ir/handle/310904400/16617

    Title: Composed Fuzzy Measure of Maximized L-Measure and Delta-Measure
    Authors: 劉湘川;Liu, Hsiang-Chuan;Tsai, Hsien-Chang;Jheng, Yu-Du;Liu, Tung-Sheng
    Contributors: 生物與醫學資訊學系
    Keywords: Lambda-measure;P-measure;Delta-measure;L-measure;composed fuzzy measure
    Date: 2010
    Issue Date: 2012-11-23 17:15:08 (UTC+8)
    Abstract: "Abstract—The well known fuzzy measures, λ-measure and
    P-measure, have only one formulaic solution. Two multivalent
    fuzzy measures with infinitely many solutions, L-measure and
    δ-measure, were proposed by our previous works, but the former
    do not include the additive measure as the latter and the latter has
    not so many measure solutions as the former, therefore, a
    composed fuzzy measure of above two measures, called

    -measure was proposed by our additional previous work.
    However, all of abovementioned fuzzy measures do not contain the
    largest measure, B-measure, which all not completed measures. In
    this paper, an improved completed fuzzy measure composed of
    maximized L-measure and δ-measure, denoted L

    -measure, is
    proposed. For evaluating the Choquet integral regression models
    with our proposed fuzzy measure and other different ones, two real
    data experiments by using a 5-fold cross-validation mean square
    error (MSE) were conducted. The performances of Choquet
    integral regression models with fuzzy measure based L

    -measure, L

    -measure, Lδ
    -measure, L-measure, δ-measure,
    λ-measure, and P-measure, respectively, a ridge regression model,
    and a multiple linear regression model are compared. Both of two
    experimental results show that the Choquet integral regression
    models with respect to our new measure based on γ-support
    outperforms others 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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