Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/56884
題名: 模糊資料相關係數的估算及應用
Correlation Evaluation with Fuzzy Data and its Applications
作者: 黃玟綾
貢獻者: 吳柏林
Wu, Berlin
黃玟綾
關鍵詞: 模糊相關係數
模糊資料
模糊統計
Fuzzy correlation coefficient
Fuzzy data
Fuzzy statistics
日期: 2012
上傳時間: 1-Feb-2013
摘要: 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。
參考文獻: [1] 吳柏林(2005)。模糊統計導論-方法與應用。臺北:五南圖書公司。\n[2] 吳柏林(2002)。現代統計學。臺北:前程。\n[3] 吳柏林、謝名娟(2010)。現代教育與心理統計學。新北市: Airiti Press。\n[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。\n[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。\n[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。\n[7] Lowen, R. (1990) A fuzzy language interpolation theorem. Fuzzy Sets and Systems, 34, 33-38.\n[8] Hung,T.N., Berlin, W.(2006).Fundamentals of Statistics with Fuzzy Data.Springer Verlag.\n[9] Tseng, T. and Klein, C. (1992) A new Algorithm for fuzzy multicriteria decision making. International Journal of Approximate Reasoning. 6, 45-66.\n[10] Ruspini, E. (1991) Approximate Reasoning: past, present, future. Information Sciences. 57, 297-317.\n[11] Kosko, B. (1993). Fuzzy thinking : the new science of fuzzy logic. Hyperion, New York.\n[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.\n[13] Hung, W. L. and Wu, J. W., (2001). A note on the correlation of fuzzy numbers\nby Expected interval, International Journal of Uncertainty, Fuzziness and \nKnowledge-Based Systems 9, 517-523\n\n[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\nSystems 10, 725-735.\n[15] Liu, S. T. and Kao, C. (2002). Fuzzy measures for correlation coefficient of \nfuzzy numbers. Fuzzy Sets and Systems 128, 267-275\n[16] Wu, H. C. (1999). Probability density functions of Fuzzy Random Variables.\nFuzzy Sets and Systems Vol. 105, 139-158.\n[17] Zimmermann, H. J. (1991) Fuzzy Set Theory and Its Applications. Boston: Kluwer Academic.\n[18] Zadeh, L. A. (1965). Fuzzy Sets. Information and Control, 8, 338-353.
描述: 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
資料來源: http://thesis.lib.nccu.edu.tw/record/#G0099972009
資料類型: thesis
Appears in Collections:學位論文

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