| 研究生: |
陳帥 |
|---|---|
| 論文名稱: |
模糊數據的局部加權回歸 Locally weighted regression of fuzzy data |
| 指導教授: | 吳柏林 |
| 學位類別: |
碩士
Master |
| 系所名稱: |
理學院 - 應用數學系 Department of Mathematical Sciences |
| 論文出版年: | 2017 |
| 畢業學年度: | 105 |
| 語文別: | 中文 |
| 論文頁數: | 19 |
| 中文關鍵詞: | 模糊理論 、模糊回歸分析 、局部加權 |
| 外文關鍵詞: | Fuzzy theory, Fuzzy regression, Locally weighted method |
| 相關次數: | 點閱:26 下載:10 |
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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.
1.前言 1
2.模糊數據的局部加權回歸 5
2.1 模型的建構 5
2.2 回歸係數的估計 6
2.3 殘差分析 7
2.4 數據模擬 8
3.實證分析 12
4.結語 18
參考文獻 19
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