| 二层线性规划的模糊数学解法(Ⅱ) |
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| 引用本文： | 裴峥,黄天民.二层线性规划的模糊数学解法(Ⅱ)[J].西南交通大学学报,2000,35(1):98-101. |
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| 作者姓名： | 裴峥 黄天民 |
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| 作者单位： | 西南交通大学应用数学系,四川,成都,610031 |
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| 摘 要： | 针对上层有约束条件、下层有Ｎ个独立的决策单元的二层线性规划问题，提出了一种模糊数学解法。首先，把这种规划分解为若干单层规划；然后引入隶属函数，用３个定理对各单层规划的解进行讨论，最终把这种二层线性规划转化为求解一个单层线必规划问题。使问题得到了简化。
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| 关 键 词： | 线性规划 二层规划 模糊数学 解法 |
Fuzzy Approach for Bi-Level Programming Problems (Ⅱ) |
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| PEI Zheng,HUANG Tian-min.Fuzzy Approach for Bi-Level Programming Problems (Ⅱ)[J].Journal of Southwest Jiaotong University,2000,35(1):98-101. |
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| Authors: | PEI Zheng HUANG Tian-min |
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| Abstract: | A fuzzy mathematical approach is proposed for bi level programming problems in which the upper level has constraints and the lower level consists of N independent programming units. A bi level programming problem is divided into many classical ones, then by introducing the concepts of membership functions, the solution of each classical programming problem is discussed with three theorems. Consequently, the bi level programming problem can be transformed into solving a classical linear programming problem, enabling the problem being simplified. |
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| Keywords: | membership functions linear programming bi level programming |
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