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題 名 | 二階L測度及其Choquet積分迴歸模式=Second-order L-Measure and Its Choquet Integral Regression Model |
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作 者 | 劉湘川; | 書刊名 | 測驗統計年刊 |
卷 期 | 16(上) 2008.06[民97.06] |
頁 次 | 頁1-12 |
分類號 | 319 |
關鍵詞 | λ測度; ν測度; L測度; 二階L測度; Choquet積分迴歸模式; λ-measure; ν-measure; L-measure; Second-order L-measure; Choquet integral regression model; |
語 文 | 中文(Chinese) |
中文摘要 | 摘要 當綜合評價之多種屬性間,具有潛在交互作用時,傳統可加性測度方法表現 欠佳,可考慮採用模糊測度與模糊積分。進行模糊積分前,須先選擇適當之模糊 測度,眾所周知Sugeno 之λ 測度與Zadeh 之P 測度均只有唯一解,劉湘川先後 提出逐次改進之三種多值模糊測度;「μ 測度」、「v 測度」及「L 測度」,上 述三種多值模糊測度均可有無限多模糊測度之解可供選擇。本文在L 測度之定義 式中添加「平方指標」以增進靈敏度,提出進一步改進之「二階L 測度」,同時 亦提出「基於二階L 測度之Choquet 積分迴歸模式」,將更有利於具潛在交互作 用資料之綜合評價與預測分析。 |
英文摘要 | Abstract When interactions among criteria exist in multiple decision-making problems or forecasting problems, the performance of the traditional additive scale method is poor. Non-additive fuzzy measures and fuzzy integral can be applied to improve this situation. Theλ - measure proposed by Sugeno and the P- measure proposed by Zadeh, are the most often used fuzzy measures, but the above two measures both have only one solution of fuzzy measure. Hsiang-Chuan Liu has proposed three polyvalent fuzzy measures: μ - measure, v - measure and L - measure. All of the three improved measures have infinite many solutions of fuzzy measures. In this paper, A square index is adding to two terms in formula of the L - measure for being more sensitive then L - measure, and get an improved fuzzy measures, called “second-order L - measure”, and a new Choquet integral regression model based on this second-order L - measure is also proposed. |
本系統中英文摘要資訊取自各篇刊載內容。