政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/32566
English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  全文筆數/總筆數 : 110638/141561 (78%)
造訪人次 : 47131699      線上人數 : 1058
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
搜尋範圍 查詢小技巧：
  • 您可在西文檢索詞彙前後加上"雙引號"，以獲取較精準的檢索結果
  • 若欲以作者姓名搜尋，建議至進階搜尋限定作者欄位，可獲得較完整資料
    •  進階搜尋
    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/32566


    請使用永久網址來引用或連結此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/32566


    題名: 模糊期望值與模糊變異數的檢定方法
    Methods on Testing Hypotheses of Fuzzy Mean and Fuzzy Variance
    作者: 張曙光
    Shu-Kuang,Chang
    貢獻者: 吳柏林
    張曙光
    Shu-Kuang,Chang
    關鍵詞: 隸屬度函數
    模糊樣本取樣
    模糊樣本期望值
    模糊樣本變異數
    人性思考
    t檢定
    F檢定
    模糊常態分配
    Membership function
    fuzzy sampling survey
    fuzzy mean
    human thought
    t-test
    F-test
    normally distributed
    日期: 2006
    上傳時間: 2009-09-17 13:45:46 (UTC+8)
    摘要: 在許多實際情形下，傳統的統計檢定方法是不足以應付的。故本論文提出模糊檢定方法，我們定義出模糊樣本期望值與模糊樣本變異數的計算方法，再針對不同的模糊資料，分別提出不同的檢定方法，去解決最實際需要解決的問題，其中包括推廣古典的統計檢定方法與自創的檢定方法。

    關鍵字：隸屬度函數，模糊樣本取樣，模糊樣本期望值，模糊樣本變異數，人性思考，t檢定，F檢定，模糊常態分配。
    In many expositions of fuzzy methods, fuzzy techniques are described as an alternative to a more traditional statistical approach. In this paper, we present a class of fuzzy statistical decision process in which testing hypothesis can be naturally reformulated in terms of interval-valued statistics. We provide the definitions of fuzzy mean, fuzzy distance as well as investigation of their related properties. We also give some empirical examples to illustrate the techniques and to analyze fuzzy data. Empirical studies show that fuzzy hypothesis testing with soft computing for interval data are more realistic and reasonable in the social science research. Finally certain comments are suggested for the further studies. We hope that this reformation will make the corresponding fuzzy techniques more acceptable to researchers whose only experience is in using traditional statistical methods.
    Key words: Membership function, fuzzy sampling survey, fuzzy mean, human thought, t-test, F-test, normally distributed.
    參考文獻: Delgado, M., J. L. Verdegay, and M. A. Vila, 1985, Testing fuzzy hypothesis: a Bayesian approach, in: M. M. Gupta, A. Kandel, W. Bandler, and J. B. Kiszka (Eds.), Approximate Reasoning In Expert Systems, Elsevier, Amsterdam, 307-316.
    Diamond, P., and P. Kloeden, 1994, Metric Space of Fuzzy Sets, World Scientific, London.
    Dubois, D., and H. Prade, 1991, Fuzzy sets in approximate reasoning, part 1: inference with possibility distributions, Fuzzy Sets and Systems 40, 143-202.
    Fréchet, M., 1948, Les elements aléatoires de natures quelconque dans un espace distancié, Ann. Inst. H. Poincaré 10, 2155-310.
    Gil, M. A., M. Montenegro, G. Gonzáxlez-Rodríguez, A. Colubi, and M. R. Casals, 2006, Bootstrap approach to the classic one way multi-sample test with imprecise data, Comp. Stat. Data Anal., in press.
    González-Rodríguez, G., M. Momtenegro, A. Colubi, M. Á. Gil, 2006, Bootstrap techniques and fuzzy random variables: synergy in hypothesis testing with fuzzy data, Fuzzy Sets and Systems 157, 2608-2613.
    Goutsias, J., R. P. S. Mahler, and H. T. Nguyen (eds.), 1997, Random Sets: Theory and Applications, Springer-Verlag, N.Y.
    Grzegorzewski, P., 2000, Testing statistical hypotheses with vague data, Fuzzy Sets and Systems 112, 501-510.
    Grzegorzewski, P., 2001, Fuzzy test – defuzzification and randomization, Fuzzy Sets and Systems 118, 437-446.
    Körner, R., 2000, An asymptotic -test for the expectation of random fuzzy variables, J. Stat. Plann. Inference 83, 331-346.
    Körner, R., W. Näther, 2002, On the variance of random fuzzy variables, in: C. Bertoluzza, M. A. Gil, D. A. Ralescu (Eds.), Statistical Modeling, Analysis and Management of Fuzzy Data, Physica-Verlag, Heidelberg, 22-39.
    Kruse, R., 1982, The strong low of large numbers for random variables, Information Sciences 28, 233-241.
    Kruse, R. and K. D. Meyer, 1987, Statistics with Vague Data, Reidel, Dordrecht, Boston.
    Kruse, R., K.D. Meyer, 1988, Confidence intervals for the parameters of a linguistic random variable, in: J. Kacprzyk, M. Fedrizzi, (Eds.), Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making, Springer, Berlin, 113-123.
    Lehmann, E. L,1986, Testing Statistical Hypotheses, Berkeley, California.
    Liang, G. S., and M. J. Wang, 1991, A fuzzy multicriteria decision making method for facility site selection, International Journal of Production Research 29(11), 2313-2330.
    Montenegro, M., M. R. Casals, M.A. Gil, 2000, Asymptotic comparison of two fuzzy expected values, Proc. JCIS 2000 - Seventh FT&T Conference, 150-153.
    Montenegro, M., M. R. Casals, M. A. Lubiano, and M. A. Gil, 2001, Two-sample hypothesis tests of means of a fuzzy random variable, Information Sciences 113, 89-100.
    Montenegro, M., A. Colubi, M. R. Casals, and M.A. Gil, 2004a, Introduction to ANOVA with fuzzy random variables, in M. Lopez-Diaz, M. A Gil, P. Grzegorzewski, O.Hryniewicz, and J. Lawry (Eds), Soft Methodology and Random Information System, Springer, Berlin, 487-494.
    Montenegro, M., A. Colubi, M. R. Casals, and M.A. Gil, 2004b, Asymptotic and bootstrap techniques for testing the expected value of a fuzzy random variable, Metrika 59, 31-49.
    Nguyen, H. T., and B. Wu, 2000, Fuzzy Mathematics and Statistical Applications, Hua-Tai Book Company, Taipei.
    Saade, J., 1994, Extension of fuzzy hypotheses testing with hybrid data, Fuzzy Sets and Systems 63, 57-71.
    Saade, J., and H. Schwarzlander, 1990, Fuzzy hypotheses testing with hybrid data, Fuzzy Sets and Systems 35, 197-212.
    Stojakovic, M., 1994, Fuzzy random variables, expectation, and martingales, Journal of Mathematical Analysis and Applications 184, 594-606.
    Watanabe, N., and T. Imaizumi, 1993, A fuzzy statistical test of fuzzy hypotheses, Fuzzy Sets and Systems 53, 167-178.
    Wu , B. and W. Yang, 1998, Application of fuzzy statistics in the sampling survey, in: Development and Application for the Quantity Methods of Social Science, Academic Sinica, Taiwan, 289-316.
    描述: 博士
    國立政治大學
    應用數學研究所
    90751503
    95
    資料來源: http://thesis.lib.nccu.edu.tw/record/#G0090751503
    資料類型: thesis
    顯示於類別:[應用數學系] 學位論文

    文件中的檔案:

    檔案 描述 大小格式瀏覽次數
    75150301.pdf42KbAdobe PDF2780檢視/開啟
    75150302.pdf32KbAdobe PDF2749檢視/開啟
    75150303.pdf31KbAdobe PDF2896檢視/開啟
    75150304.pdf49KbAdobe PDF2866檢視/開啟
    75150305.pdf63KbAdobe PDF2839檢視/開啟
    75150306.pdf38KbAdobe PDF21011檢視/開啟
    75150307.pdf89KbAdobe PDF21159檢視/開啟
    75150308.pdf98KbAdobe PDF2973檢視/開啟
    75150309.pdf167KbAdobe PDF21241檢視/開啟
    75150310.pdf23KbAdobe PDF2714檢視/開啟
    75150311.pdf43KbAdobe PDF21073檢視/開啟


    在政大典藏中所有的資料項目都受到原著作權保護.


    社群 sharing

    著作權政策宣告 Copyright Announcement
    1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
    The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

    2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
    NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - 回饋