Loading...
|
Please use this identifier to cite or link to this item:
https://nccur.lib.nccu.edu.tw/handle/140.119/32599
|
| Title: | 模糊相關係數及其應用 |
| Authors: | 江彥聖 |
| Contributors: | 吳柏林
江彥聖 |
| Keywords: | 模糊相關係數
模糊區間
模糊資料
Fuzzy correlation coefficient
Fuzzy interval
Fuzzy data |
| Date: | 2008 |
| Issue Date: | 2009-09-17 13:49:23 (UTC+8) |
| Abstract: | 科學研究中，我們常關注變數間是否存在某種相關，及其相關的程度與方向。但傳統的相關分析方法，並不適用於更能表達真實情況的模糊資料。
在統計學中，討論資料之相關性的統計量有許多，本研究旨在針對討論兩變數間之線性關係的皮爾森相關係數 (Pearson Product-Moment Correlation Coefficient)，以模糊統計方法的角度，提出合理的模糊直線相關係數定義，以協助處理區間模糊資料，瞭解模糊資料間的線性關係。
In the scientific research, we often pay attention to whether there are some relations between two variables, and the strength and direction of a linear relationship. But the traditional statistics method is not suitable for the fuzzy data.
There are a lot of statistics of discussing the relevance between two variables. In this study, a modified method, combining Pearson Product-Moment Correlation Coefficient and fuzzy theory, was applied to deal with the fuzzy data, and find the linear relation among them. |
| Reference: | [1] 王文俊 (1997)。認識Fuzzy。台北：全華書局。
[2] 阮亨中、吳柏林(2000)。模糊數學與統計應用。台北：俊傑。
[3] 吳柏林(2005)。模糊統計導論：方法與應用。台北：五南。
[4] 吳柏林(2002)。現代統計學。台北：前程。
[5] 吳柏林(1997)。社會科學研究中的模糊邏輯與模糊統計分析。國立政治大學研究通訊，7，17-38。
[6] 吳柏林(1995)。模糊統計分析：問卷調查研究的新方向。國立政治大學研究通訊，2， 65-80。
[7] 李允中、王小璠、蘇木春 (2003)。模糊理論及其應用。全華科技圖書股份有限公司。
[8] 林原宏(2007)。模糊理論在社會科學研究的方法論之回顧。量化研究學刊，第一卷，第一期，2007，53-84。
[9] 馮國臣、任麗偉(2007) 模糊理論－基礎與應用。台北：新文京開發。
[10] 藎壚(1991)。實用模糊數學。台北：亞東。
[11] Amo, A., Montero, J., Biging, G. and Cutello, V. (2004). Fuzzy classification systems, European Journal of Operational Research, 156(2), 495.
[12] Buckley, J. J. (2004). Fuzzy Statistics, Springer-Verlag, Heidelberg, Germany.
[13] Carrano A. L., Taylor, J. B., Young, R E., Lemaster R. L. and Saloni, D. E. (2004). Fuzzy knowledge-based modeling and statistical regression in abrasive wood machining, Forest Products Journal, 54(5), 66-72.
[14] Dorsey, D. W., and Coovert, M. D. (2003).Mathematical modeling of decision making: A soft and fuzzy approach to capturing hard decisions, Human Factors, 45(1), 117.
[15] Gorsevski, P. V., Gessler, P. E., and Jankowsk, P. (2003). Integrating a fuzzy k-means classification and a Bayesian approach for spatial prediction of landslide hazard, Journal of Geographical Systems, 5(3),223.
[16] Klir, G and Yuan, (1995). Fuzzy Sets and Fuzzy Logic－Theory and Applications. Prentice-Hall, Upper Saddle River, Ni.
[17] Park, K. and Kim, S. (1996). A note on the fuzzy weighted additive rule. Fuzzy Sets and Systems, 77, 315-320.
[18] Shiang-Tai Liu, Chiang Kao (2002)。 ‘Fuzzy measures for correlation coefficient of fuzzy numbers’, Fuzzy Sets and Systems, 128, p.267-275
[19] Wang, H. and Bell, P. (1996). Fuzzy clustering analysis and multifactor evaluation for students’ imaginative power in physics problem solving. Fuzzy Sets and Systems, 78, 95-105.
[20] Zadeh, L. A., 1965, Fuzzy sets. Information and Control, 8, 338-353.
[21] Zadeh, L. A., 1975, The concept of a linguistic variable and its application to approximate reasoning. Information Science, 8, 199-249(I), 301-357(II).
[22] Zadeh, L. A., 1978, Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems, 1, 3-28. |
| Description: | 碩士
國立政治大學
應用數學研究所
95972008
97 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#G0095972008 |
| Data Type: | thesis |
| Appears in Collections: | [應用數學系] 學位論文
|
All items in 政大典藏 are protected by copyright, with all rights reserved.
|
