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    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/58349
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/58349


    Title: 計數值模糊資料相關係數之研究及應用
    The Study on Computation and Application of Correlation Coefficient Based on Attribute Fuzzy Data
    Authors: 張書瑜
    Chang, Shu Yu
    Contributors: 鄭宇庭
    蔡紋琦

    張書瑜
    Chang, Shu Yu
    Keywords: 計數值模糊資料
    模糊區間相關係數
    Date: 2012
    Issue Date: 2013-06-03 18:14:57 (UTC+8)
    Abstract: 「模糊」這個名詞常被用來表示為不確定性,而模糊理論其實就是在探討統計機率中所表達的「隨機性」。而對於區間型的資料時,由於單一的數值(例如:平均數)常會隱藏住資料的真實情況,因此在處理區間型資料時,我們大多會採用相關係數進行計算。

      以往之模糊區間資料大多為連續型資料,然而仍有許多計數值資料,例如:旅運量、品管中的缺點數、公司出勤人次等,而本文將針對計數值資料之模糊區間加以討論,並藉由計數值模糊區間資料,生成模糊相關係數。另外,我們也將導入針對計數值資料進行轉換的ISRT法,透過此方法,將計數值資料轉為連續型資料,並比較其兩組數據所生成之模糊相關係數。本文利用模擬分析,生成若干種間斷型分配後再模擬計數型模糊區間資料(Attribute Fuzzy Interval Data);並加入實證分析,利用實際資料來分析驗證。
    Reference: 一、中文文獻
    1.王朝正(2002) 模糊語意問卷及信效度之相關研究,臺中師範學院教育測驗統計研究所碩士論文。
    2.吳柏林 (2002) 現代統計學,台北前程出版社。
    3.吳珮菁(1999)模糊統計分析在選情預測之應用,國立政治大學統計學系碩士論文。
    4.楊志清 (2013) 模糊資料之相關係數研究及其應用,國立政治大學統計學系博士論文。

    二、英文文獻

    1.Bustince, H. & Burillo, P. (1995). Correlation of interval-valued intuitionistic fuzzy sets. Fuzzy sets and systems, 74(2), 237-244.
    2.Cheng, Y. T., Yang, C. C. & Wu, S. C. (2013). Optimal Variable Sample Size and Sampling Interval MSE Chart Based on Improved Square Root Transformation. Communications in Statistics-Simulation and Computation, 42(3), 534-551.
    3.Dubois, D. & Prade, H. (1983). Ranking fuzzy numbers in the setting of possibility theory. Information Sciences, 30(3), 183-224.
    4.Gyenesei, A. (2001). A fuzzy approach for mining quantitative association rules.Acta Cybernetica, 15(2), 305-320.
    5.Hsu, H. L. & Wu, B. (2010). An innovative approach on fuzzy correlation coefficient with interval data. International Journal of Innovative Computing, Information and Control, 6(3), 1049-1058.
    6.Klir, G. J. & Folger, T.A. (1988). Fuzzy Sets, Uncertainty, and Information. Prentice-Hall, New Jersey.
    7.Klir, G. J. & Yuan, B., (1995). Fuzzy Sets and Fuzzy Logic. Theory and Application. Prentice-Hall, New Jersey.
    8.Kwakernaak, H. (1978). Fuzzy random variables—I. Definitions and theorems. Information Sciences, 15(1), 1-29.
    9.Stojaković, M. (1992). Fuzzy conditional expectation. Fuzzy sets and Systems, 52(1), 53-60.
    10.Tanaka, H., Uejima, S., & Asai, K. (1982). Linear regression analysis with fuzzy model. IEEE TRANS. SYS. MAN AND CYBER., 12(6), 903-907.
    11.Tsai, T., Lin, C. & Wu, S. (2006). Alternative attribute control charts based on improved square root transformation. Tamsui Oxford Journal of Mathematical Sciences, 22(1), 61.
    12.Yu, C. (1993). Correlation of fuzzy numbers. Fuzzy Sets and Systems, 55(3), 303-307.
    13.Zadeh, L. A. (1965). Fuzzy sets. Information and Control. 8, 338–353.
    Description: 碩士
    國立政治大學
    統計研究所
    100354010
    101
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0100354010
    Data Type: thesis
    Appears in Collections:[統計學系] 學位論文

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