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政大機構典藏 > 理學院 > 應用數學系 > 學位論文 > Item 140.119/110693

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/110693

Title:	模糊數據的局部加權回歸 Locally weighted regression of fuzzy data
Authors:	陳帥
Contributors:	吳柏林陳帥
Keywords:	模糊理論模糊回歸分析局部加權 Fuzzy theory Fuzzy regression Locally weighted method
Date:	2017
Issue Date:	2017-07-03 14:41:05 (UTC+8)
Abstract:	目標：本文旨在建構一種新型的模糊回歸模式，解決一类較複雜的模糊回歸問題。研究方法:推廣局部加權回歸的思想，先從理論上構建新模型；然後借由模拟數據，從多個方面考察新模型的性質，并和其他模型做比較。發現：局部加權回歸方法結合模糊隸屬度概念，使模糊回歸理論有更多的應用場合。原創性：目前在模糊回歸領域的主流思想是通過線性規劃等方法來構建模型，而本文另闢蹊徑，首次從局部加權的角度構建了模糊回歸的新模型。 Objective: This paper aims to construct a new fuzzy regression model to solve a more complex fuzzy regression problem. Method: Build a new model by promoting the idea of locally weighted regression; Using simulated data to compare the new model with other models. Conclusion: The fuzzy membership degree concept combined with the locally weighted regression method makes the fuzzy regression theory have more applications. Originality: At present, the main idea in the field of fuzzy regression is to construct models by means of linear programming. In this paper, a new model of fuzzy regression is constructed from the perspective of locally weighted method for the first time.
Reference:	[1] L.A. Zadeh, Fuzzy sets, Information and Control, Volume 8, Issue 3, June 1965, pp.338–353 [2] H. Tanaka, S. Uejima, K. Asai，Linear regression analysis with fuzzy model， IEEE Trans. Sys., Man. Cyber., 12 (1982), pp. 903–907. [5] William S. Cleveland, Robust Locally Weighted Regression and Smoothing Scatterplots, Journal of the American Statistical Association, Vol. 74,No. 368.(Dec., 1979),pp. 829-836. [6]Phil Diamond, Fuzzy Least Squares, Information Sciences 46(3), 1988, pp.141 -157 [7] Pierpaolo D`Urso, Linear regression analysis for fuzzy/crisp input and fuzzy/crisp output data ,Computational Statistics & Data Analysis, Volume 42, Issues 1–2, (2003), pp.47–72. [8] P. Anand Raj, D. Nagesh Kumar, Ranking alternatives with fuzzy weights using maximizing set and minimizing set ,Fuzzy Sets and Systems,1999,pp365-375 [3]吳柏林，模糊統計導論第二版（2015），五南出版社（台北），p153. [4]陳孝煒、吳柏林，區間回歸與模糊樣本分析，管理科學與統計決策, 4(1), 2007
Description:	碩士國立政治大學應用數學系 104751018
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G0104751018
Data Type:	thesis
Appears in Collections:	[應用數學系] 學位論文

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