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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/56884
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/56884


    Title: 模糊資料相關係數的估算及應用
    Correlation Evaluation with Fuzzy Data and its Applications
    Authors: 黃玟綾
    Contributors: 吳柏林
    Wu, Berlin
    黃玟綾
    Keywords: 模糊相關係數
    模糊資料
    模糊統計
    Fuzzy correlation coefficient
    Fuzzy data
    Fuzzy statistics
    Date: 2012
    Issue Date: 2013-02-01 16:53:22 (UTC+8)
    Abstract: 在統計學上,研究分析兩變數間是否存在某程度的相關性,常使用皮爾森相關係數(Pearson’s Correlation Coefficient),來表達兩實數變數間線性相關的強度及方向,但是當資料並非明確實數,而是反映人類思維不確定性的模糊資料時,傳統的相關分析方法並不適用於貼切傳達模糊資料的訊息。本研究探討有序性離散型模糊資料的相關性,提出四種類型的相關係數定義,提供研究者對此類型資料間相關程度合理的分析方法。本研究實證分析以教育心理問卷,來探究影響未成年抽菸學生菸癮程度的相關性因素。
    Reference: [1] 吳柏林(2005)。模糊統計導論-方法與應用。臺北:五南圖書公司。
    [2] 吳柏林(2002)。現代統計學。臺北:前程。
    [3] 吳柏林、謝名娟(2010)。現代教育與心理統計學。新北市: Airiti Press。
    [4] 謝名娟、吳柏林(2012)。高中學生時間運用與學習表現關聯之研究:模糊相關的應用。教育政策論壇,15卷,第1期,157-176。
    [5] 江彥聖(2008)。模糊相關係數及其應用。碩士論文,國立政治大學,台北市。
    [6] 林立夫 (2011)。模糊資料相關係數及在數學教育之應用。碩士論文,國立政治大學,台北市。
    [7] Lowen, R. (1990) A fuzzy language interpolation theorem. Fuzzy Sets and Systems, 34, 33-38.
    [8] Hung,T.N., Berlin, W.(2006).Fundamentals of Statistics with Fuzzy Data.Springer Verlag.
    [9] Tseng, T. and Klein, C. (1992) A new Algorithm for fuzzy multicriteria decision making. International Journal of Approximate Reasoning. 6, 45-66.
    [10] Ruspini, E. (1991) Approximate Reasoning: past, present, future. Information Sciences. 57, 297-317.
    [11] Kosko, B. (1993). Fuzzy thinking : the new science of fuzzy logic. Hyperion, New York.
    [12] Guariso, G. , Rizzoli, A., & Werthner, H. (1992) Identification of model structure via qualitive simulation. IEEE Trans. on Systems, Man, and cybernetics.,22(5), 1075-1086.
    [13] Hung, W. L. and Wu, J. W., (2001). A note on the correlation of fuzzy numbers
    by Expected interval, International Journal of Uncertainty, Fuzziness and
    Knowledge-Based Systems 9, 517-523

    [14] Hung, W. L. and Wu, J. W., (2002). Correlation of fuzzy numbers by α-cut method, International Journal of Uncertainty, Fuzziness and Knowledge-Based
    Systems 10, 725-735.
    [15] Liu, S. T. and Kao, C. (2002). Fuzzy measures for correlation coefficient of
    fuzzy numbers. Fuzzy Sets and Systems 128, 267-275
    [16] Wu, H. C. (1999). Probability density functions of Fuzzy Random Variables.
    Fuzzy Sets and Systems Vol. 105, 139-158.
    [17] Zimmermann, H. J. (1991) Fuzzy Set Theory and Its Applications. Boston: Kluwer Academic.
    [18] Zadeh, L. A. (1965). Fuzzy Sets. Information and Control, 8, 338-353.
    Description: 碩士
    國立政治大學
    應用數學系數學教學碩士在職專班
    99972009
    101
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0099972009
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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