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| Title: | 模糊抽樣調查及無母數檢定
Fuzzy Sampling Survey with Nonparametric Tests |
| Authors: | 林國鎔
Lin,Guo-Rong |
| Contributors: | 吳柏林
Wu,Berlin
林國鎔
Lin,Guo-Rong |
| Keywords: | 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 |
| Date: | 2006 |
| Issue Date: | 2009-09-17 13:48:06 (UTC+8) |
| Abstract: | 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? |
| Reference: | [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. |
| Description: | 碩士
國立政治大學
應用數學研究所
94751009
95 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#G0094751009 |
| Data Type: | thesis |
| Appears in Collections: | [應用數學系] 學位論文
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