| dc.contributor.advisor | 吳柏林 | zh_TW |
| dc.contributor.author (Authors) | 林立夫 | zh_TW |
| dc.creator (作者) | 林立夫 | zh_TW |
| dc.date (日期) | 2010 | en_US |
| dc.date.accessioned | 5-Oct-2011 14:39:45 (UTC+8) | - |
| dc.date.available | 5-Oct-2011 14:39:45 (UTC+8) | - |
| dc.date.issued (上傳時間) | 5-Oct-2011 14:39:45 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0097972014 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/51316 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學系數學教學碩士在職專班 | zh_TW |
| dc.description (描述) | 97972014 | zh_TW |
| dc.description (描述) | 99 | zh_TW |
| dc.description.abstract (摘要) | 兩變數之間是否相關，以及相關的程度與方向是統計研究學者所關注的一項課題。傳統上使用皮爾森相關係數(Pearson’s Correlation Coefficient)來表達兩實數變數間線性關係的強度與方向。然而，對於反映人類思維不確定性的模糊資料而言，傳統的相關分析方法卻有不足與不適用之缺失。 本論文的主要目的在於尋求一個合理、適用的區間模糊資料相關係數，提供研究者簡單且容易計算的模糊相關係數求法，用以了解區間模糊資料間的相關程度。接著利用轉換離散型模糊數成為區間模糊數的方式，處理離散型模糊資料間的相關係數。最後，以國中數學教學現場所調查的資料做實例應用。 | zh_TW |
| dc.description.abstract (摘要) | In statistical studies, the correlation between two variables and its strength and direction are always concerned. Traditionally, the Pearson’s Correlation Coefficient is used to convey the linear relationship between two variables. However, the traditional correlation analysis is not applicable to the fuzzy data which are able to reflect more appropriately the uncertainty of human thinking. The main purpose of the study is to find a reasonable and usable correlation coefficient of interval fuzzy data which provides researchers a simple and easy way to calculate and find the fuzzy correlation coefficient. Meanwhile, it can help us understand the correlation of interval fuzzy data. Moreover, we use the process of transforming discrete fuzzy number into the interval fuzzy number to deal with the correlation coefficient of discrete fuzzy data. Finally, we utilize the data from mathematics teaching in junior high school for application. | en_US |
| dc.description.tableofcontents | 摘要.....................................................iAbstract................................................ii目次.....................................................iii圖目次....................................................iv表目次....................................................v1.前言....................................................12.研究方法.................................................3 2.1傳統實數樣本之線性相關係數.................................3 2.2模糊統計量..............................................5 2.3區間模糊數與軟計算.......................................15 2.4模糊線性相關係數.........................................19 2.5模糊線性相關係數的性質....................................273.實例應用.................................................29 3.1有序性離散模糊數與區間模糊數之模糊相關係數....................29 3.2三十位國中三年級學生影響數學成績表現可能因數之相關係數..........374.結論與建議...............................................435.參考文獻.................................................44 | zh_TW |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0097972014 | en_US |
| dc.subject (關鍵詞) | 模糊統計 | zh_TW |
| dc.subject (關鍵詞) | 區間模糊數 | zh_TW |
| dc.subject (關鍵詞) | 模糊相關係數 | zh_TW |
| dc.subject (關鍵詞) | Fuzzy statistics | en_US |
| dc.subject (關鍵詞) | Interval fuzzy number | en_US |
| dc.subject (關鍵詞) | Fuzzy correlation coefficient | en_US |
| dc.title (題名) | 模糊資料相關係數及在數學教育之應用 | zh_TW |
| dc.title (題名) | Correlation of fuzzy data and its applications in mathematical education | en_US |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (參考文獻) | [1]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。 | zh_TW |
| dc.relation.reference (參考文獻) | [2]吳柏林 (2005)。模糊統計導論：方法與應用。台北：五南。 | zh_TW |
| dc.relation.reference (參考文獻) | [3]Buckley, J. J. (2003). Fuzzy Probabilities: New Approach and Applications, Physics-Verlag, Heidelberg, Germany. | zh_TW |
| dc.relation.reference (參考文獻) | [4]Buckley, J. J. (2004). Fuzzy Statistics, Springer-Verlag, Heidelberg, Germany. | zh_TW |
| dc.relation.reference (參考文獻) | [5]Carlsson, C., Fuller, R. (2001). On possibilistic mean value and variance of fuzzy numbers, Fuzzy Sets and Systems 122, 315-326. | zh_TW |
| dc.relation.reference (參考文獻) | [6]Dubois, D. and Prade, H (1987). The mean value of a fuzzy number, Fuzzy Sets and Systems 24, 279-300. | zh_TW |
| dc.relation.reference (參考文獻) | [7]Galvo, T., and Mesiar, R. (2001). Generalized Medians, Fuzzy Sets and Systems 124, 59-64. | zh_TW |
| dc.relation.reference (參考文獻) | [8]Gebhardt, J., Gil, M. A., and Kruse, R. (1998). Fuzzy set-theoretic methods in statistics, in: R. Slowinski(Ed.), Handbook on Fuzzy Sets, Fuzzy Sets in Decision Anaysis, Operations Research, and Statistics, vol. 5, Kluwer Academic Publishers, New York, 311-347. | zh_TW |
| dc.relation.reference (參考文獻) | [9]H. T. Nguyen and B. Wu (2006) Fundamentals of Statistics with Fuzzy Data. New York：Springer. | zh_TW |
| dc.relation.reference (參考文獻) | [10]Heilpern, S. (1992). The expected value of a fuzzy number, Fuzzy Sets and Systems 47, 81-86. | zh_TW |
| dc.relation.reference (參考文獻) | [11]Hung, W. L. and Wu, J. W., (2001). A note on the correlation of fuzzy numbers by Expected interval, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 9, 517-523. | zh_TW |
| dc.relation.reference (參考文獻) | [12]Hung, W. L. and Wu, J. W., (2002). Correlation of fuzzy numbers by α-cut method, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 10, 725-735. | zh_TW |
| dc.relation.reference (參考文獻) | [13]Korner, R. (1997). On the Variance of Fuzzy Random Variables, Fuzzy Sets and Systems Vol. 92, 83-93. | zh_TW |
| dc.relation.reference (參考文獻) | [14]Liu, S. T. and Kao, C. (2002). Fuzzy measures for correlation coefficient of fuzzy numbers. Fuzzy Sets and Systems 128, 267-275 | zh_TW |
| dc.relation.reference (參考文獻) | [15]Wu, H. C. (1999). Probability density functions of Fuzzy Random Variables. Fuzzy Sets and Systems Vol. 105, 139-158. | zh_TW |
| dc.relation.reference (參考文獻) | [16]Zadeh, L.A., (1965). Fuzzy sets. Information and Control 8, 338-353. | zh_TW |
