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題 名 | Synthesize Fuzzy-Random Data by Hybrid Fuzzy Least-Squares Regression Analysis=利用複合式模糊迴歸分析處理模擬隨機數據 |
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作 者 | 張永熙; | 書刊名 | 高雄科學技術學院學報 |
卷 期 | 27 1997.12[民86.12] |
頁 次 | 頁1-14 |
分類號 | 319.51 |
關鍵詞 | 工程應用; 模糊性; 複合; 最小二乘; 隨機性; 迴歸分析; 可靠度; 不確定性; Applications; Fuzziness; Hybrid; Least-Squares; Randomness; Regression; Reliability; Uncertainty; |
語 文 | 英文(English) |
中文摘要 | 本文利用複合式模糊迴歸分析來處理模擬隨機數據;在工程、科學及商業應用上常收集口語化評估值,加以模擬成迴歸方程式以作預測之用,此類資料屬於既模糊又隨機的數據,故適合用複合式模糊迴歸分析來模擬﹔本文先介紹複合式模糊迴歸分析的方法,然後將該法應用於兩個案例研究,其中一例為量測資料誤差的模擬﹔另一例將專家意見模擬成模糊數,加入少數不足的數據中以輔助模擬的效果,提供在不確定環境中作決策分 析的依據﹔兩個案實例分別計算其複合迴歸方程式及其可靠度量測值,將結果與古典迴歸分析結果作比較,並作結論。 |
英文摘要 | Hybrid fuzzy least-squares regression analysis is used to model data randomness and data fuzziness into a regression model. The methods for hybrid fuzzy least-squares regression, which are based on the weighted fuzzy-arithmetic and the least-squares criterion, are summarized. Examples of fuzzy-random data are provided. Two case studies using hybrid fuzzy least-squares regression for modeling data randomness and data fuzziness are presented. Numerical results are calculated and compared with the results of classical regression. Some conclusions are provided for each case. Summary and conclusion are drawn in the end. |
本系統中英文摘要資訊取自各篇刊載內容。