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題名 | Optimizing A Linear Fractional Programming Problem with Max-Product Fuzzy Relational Equation Constraints=求解具最大-積模糊關係方程式的線性分數規劃問題 |
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作者姓名(中文) | 吳炎崑; | 書刊名 | 工業工程學刊 |
卷期 | 25:4 2008.07[民97.07] |
頁次 | 頁314-325 |
分類號 | 494.542 |
關鍵詞 | 線性分數規劃問題; 模糊關係方程式; 最大-積型式; Linear fractional programming problem; Fuzzy relational equations; Max-product composition; |
語文 | 英文(English) |
中文摘要 | 本文主要探討線性分數規劃以最大-積模糊關係方程式為限制條件的最佳化問題,研究此一以往未曾被討論過的新課題,本文提出三個成果:一、利用最大-積模糊關係方程式其可行解的性質,提出求解此類線性分數規劃問題的一些理論結果。二、運用這些結果簡化問題的可行域,並將簡化後的問題轉換成傳統的線性分數規劃模式。三、取代一般尋找原問題所有最小解,再由所有最小解中找出最佳解的方式,提出求解此類問題較高效率的演算法。為了說明如何求解具最大-積模糊關係方程式的線性分數規劃問題,文中提供求解程序與演算實例。 |
英文摘要 | This study investigates a new framework that a linear fractional programming problem is subject to fuzzy relational equations with max-product composition. Three folds are presented. First, some theoretical results are developed to optimize such a linear fractional programming problem based on the properties of max-product composition. Second, the results are adopted to reduce the feasible domain. The problem can thus be simplified and converted into a traditional linear fractional programming problem. Third, a procedure is presented to solve this optimization problem without looking for all potential minimal solutions. Numerical examples are provided to illustrate the procedure. |
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