學術產出-學位論文

題名 模糊抽樣調查及無母數檢定
Fuzzy Sampling Survey with Nonparametric Tests
作者 林國鎔
Lin,Guo-Rong
貢獻者 吳柏林
Wu,Berlin
林國鎔
Lin,Guo-Rong
關鍵詞 模糊數
模糊問卷
無母數檢定
人類思考
fuzzy data
fuzzy questionnaire
nonparametric tests
human thoughts
The Geometer`s Sketchpad
日期 2006
上傳時間 17-九月-2009 13:48:06 (UTC+8)
摘要 本文主要的目的是藉由The Geometer`s Sketchpad (GSP)軟體的設計,幫助我們得到一組連續型模糊樣本。另外對於模糊數的無母數檢定我們提供了一個較為一般的方法,可以針對梯型、三角型,區間型的模糊樣本同時進行處理。
藉由利用GSP. 軟體所設計的模糊問卷,可以較清楚地紀錄受訪者的感覺,此外我們所提供之對於模糊數的無母數檢定方法比其他方法較為有效力。
在未來的研究裡,我們仍有一些問題需要解決,呈述如下:當所施測的樣本數很大時,如何有效率的在網路上紀錄受測者所建構的隸屬度函數?
The purpose of this paper is to develop a methodology for getting a continuous fuzzy data by using the software The Geometer`s Sketchpad (GSP). And we propose a general method for nonparametric tests with fuzzy data that can deal with trapezoid, triangular, and interval-valued data simultaneously.
Using the fuzzy questionnaire designed by GSP. can help respondents to record their thoughts more precisely. Additionally our method for nonparametric tests with fuzzy data is more powerful than others.
Additional research issues for further investigation are expressed by question such as follows: how to record the membership function on line, especially when the sample size is large?
參考文獻 [1] Cheng C. (1998) “A new approach for ranking fuzzy numbers by distance method,” Fuzzy Sets and Systems 95, 307-317.
[2] Liou T.S. and Wang M.J.J. (1992) “Ranking fuzzy numbers with integral value,”
Fuzzy Sets and Systems 50, 247-255.
[3] Zimmermann, H.J. (1991) Fuzzy Sets Theory and Its Applications.
Boston:Kluwer Academic.
[4] Nguyen, H.T. and Wu, B. (2006) Fundamentals of Statistics with Fuzzy Data.
Springer-Verlag.
[5] Zhang, J.W. (2005) “Soft Statistical Analysis and Testing for Fuzzy data,” NCCU. Ph.D Thesis.
[6] Chen S.Y. (2006) “Nonparametric test with fuzzy data,” NCCU. Master Thesis.
[7] Yager, R.R. (1981) “A procedure for ordering fuzzy subsets of the unit interval,”
Inform. Sci. 24, 143-161.
[8] Wu, B. (2005) Introduction to Fuzzy Statistics. Wu-Nan Culture Enterprise.
[9] Wu, B. (2000) Statistics. Wu-Nan Culture Enterprise.
[10] Yan, Y.Z. (1994) Nonparametric Statistics. San Min Book Co..
[11] Wayne W. D. (1989) Applied Nonparametric Statistics. Wadsworth Publishing Company.
[12] Arbuthnott, J. (1710) “An argument for divine providence taken from the constant regularity in the births of both sexes,” Philosophical Transactions. 27, 186-190.
描述 碩士
國立政治大學
應用數學研究所
94751009
95
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0094751009
資料類型 thesis
dc.contributor.advisor 吳柏林zh_TW
dc.contributor.advisor Wu,Berlinen_US
dc.contributor.author (作者) 林國鎔zh_TW
dc.contributor.author (作者) Lin,Guo-Rongen_US
dc.creator (作者) 林國鎔zh_TW
dc.creator (作者) Lin,Guo-Rongen_US
dc.date (日期) 2006en_US
dc.date.accessioned 17-九月-2009 13:48:06 (UTC+8)-
dc.date.available 17-九月-2009 13:48:06 (UTC+8)-
dc.date.issued (上傳時間) 17-九月-2009 13:48:06 (UTC+8)-
dc.identifier (其他 識別碼) G0094751009en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/32587-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 應用數學研究所zh_TW
dc.description (描述) 94751009zh_TW
dc.description (描述) 95zh_TW
dc.description.abstract (摘要) 本文主要的目的是藉由The Geometer`s Sketchpad (GSP)軟體的設計,幫助我們得到一組連續型模糊樣本。另外對於模糊數的無母數檢定我們提供了一個較為一般的方法,可以針對梯型、三角型,區間型的模糊樣本同時進行處理。
藉由利用GSP. 軟體所設計的模糊問卷,可以較清楚地紀錄受訪者的感覺,此外我們所提供之對於模糊數的無母數檢定方法比其他方法較為有效力。
在未來的研究裡,我們仍有一些問題需要解決,呈述如下:當所施測的樣本數很大時,如何有效率的在網路上紀錄受測者所建構的隸屬度函數?
zh_TW
dc.description.abstract (摘要) The purpose of this paper is to develop a methodology for getting a continuous fuzzy data by using the software The Geometer`s Sketchpad (GSP). And we propose a general method for nonparametric tests with fuzzy data that can deal with trapezoid, triangular, and interval-valued data simultaneously.
Using the fuzzy questionnaire designed by GSP. can help respondents to record their thoughts more precisely. Additionally our method for nonparametric tests with fuzzy data is more powerful than others.
Additional research issues for further investigation are expressed by question such as follows: how to record the membership function on line, especially when the sample size is large?
en_US
dc.description.tableofcontents ABSTRACT.................................................II
摘要.....................................................III
CONTENTS.................................................IV
1 INTRODUCTION...........................................1
2 METHODOLOGIES..........................................3
2.1 MEMBERSHIP FUNCTION..................................3
2.2 FUZZY NUMBERS........................................4
2.3 GETTING A CONTINUOUS FUZZY DATA......................8
2.4 RANKING FUZZY DATA..................................11
3 NONPARAMETRIC TESTS WITH FUZZY DATA...................16
3.1 ONE-SAMPLE SIGN TEST WITH FUZZY DATA................16
3.2 WILCOXON SIGNED-RANKS TEST WITH FUZZY DATA..........18
4 APPLICATIONS..........................................21
5 CONCLUSIONS...........................................24
6 REFERENCE.............................................25
zh_TW
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dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0094751009en_US
dc.subject (關鍵詞) 模糊數zh_TW
dc.subject (關鍵詞) 模糊問卷zh_TW
dc.subject (關鍵詞) 無母數檢定zh_TW
dc.subject (關鍵詞) 人類思考zh_TW
dc.subject (關鍵詞) fuzzy dataen_US
dc.subject (關鍵詞) fuzzy questionnaireen_US
dc.subject (關鍵詞) nonparametric testsen_US
dc.subject (關鍵詞) human thoughtsen_US
dc.subject (關鍵詞) The Geometer`s Sketchpaden_US
dc.title (題名) 模糊抽樣調查及無母數檢定zh_TW
dc.title (題名) Fuzzy Sampling Survey with Nonparametric Testsen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) [1] Cheng C. (1998) “A new approach for ranking fuzzy numbers by distance method,” Fuzzy Sets and Systems 95, 307-317.zh_TW
dc.relation.reference (參考文獻) [2] Liou T.S. and Wang M.J.J. (1992) “Ranking fuzzy numbers with integral value,”zh_TW
dc.relation.reference (參考文獻) Fuzzy Sets and Systems 50, 247-255.zh_TW
dc.relation.reference (參考文獻) [3] Zimmermann, H.J. (1991) Fuzzy Sets Theory and Its Applications.zh_TW
dc.relation.reference (參考文獻) Boston:Kluwer Academic.zh_TW
dc.relation.reference (參考文獻) [4] Nguyen, H.T. and Wu, B. (2006) Fundamentals of Statistics with Fuzzy Data.zh_TW
dc.relation.reference (參考文獻) Springer-Verlag.zh_TW
dc.relation.reference (參考文獻) [5] Zhang, J.W. (2005) “Soft Statistical Analysis and Testing for Fuzzy data,” NCCU. Ph.D Thesis.zh_TW
dc.relation.reference (參考文獻) [6] Chen S.Y. (2006) “Nonparametric test with fuzzy data,” NCCU. Master Thesis.zh_TW
dc.relation.reference (參考文獻) [7] Yager, R.R. (1981) “A procedure for ordering fuzzy subsets of the unit interval,”zh_TW
dc.relation.reference (參考文獻) Inform. Sci. 24, 143-161.zh_TW
dc.relation.reference (參考文獻) [8] Wu, B. (2005) Introduction to Fuzzy Statistics. Wu-Nan Culture Enterprise.zh_TW
dc.relation.reference (參考文獻) [9] Wu, B. (2000) Statistics. Wu-Nan Culture Enterprise.zh_TW
dc.relation.reference (參考文獻) [10] Yan, Y.Z. (1994) Nonparametric Statistics. San Min Book Co..zh_TW
dc.relation.reference (參考文獻) [11] Wayne W. D. (1989) Applied Nonparametric Statistics. Wadsworth Publishing Company.zh_TW
dc.relation.reference (參考文獻) [12] Arbuthnott, J. (1710) “An argument for divine providence taken from the constant regularity in the births of both sexes,” Philosophical Transactions. 27, 186-190.zh_TW