| 系数为对称梯形模糊数的模糊线性规划 |
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| 引用本文： | 朱佳翔,谭清美,荆象源,董 锋.系数为对称梯形模糊数的模糊线性规划[J].控制理论与应用,2009,26(6):701-703. |
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| 作者姓名： | 朱佳翔 谭清美 荆象源 董 锋 |
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| 作者单位： | 南京航空航天大学,经济与管理学院,江苏,南京,210016 |
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| 基金项目： | 国家自然科学基金资助项目(70571061, 51685168); 江苏软科学资助项目(BR2007038). |
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| 摘 要： | 针对模糊系数的线性规划, 提出了一种系数为对称梯形模糊数的线性规划的方法, 同时得出一些定理、命题以及相应的算法, 并通过实例验证了该方法的有效性. 该方法与常规方法的不同之处在于无须将模糊线性规划转化为经典线性规划就能得到满意的模糊优化解, 因此提出的方法所取得的规划结果更加满足决策者的需要.
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| 关 键 词： | 对称梯形模糊数 模糊优化解 基本可行解 模糊线性规划 |
| 收稿时间： | 2007/8/10 0:00:00 |
| 修稿时间： | 2008/9/18 0:00:00 |
Fuzzy linear programming with symmetrical trapezoidal fuzzy coefficients |
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| ZHU Jia-xiang,TAN Qing-mei,JING Xiang-yuan and DONG feng.Fuzzy linear programming with symmetrical trapezoidal fuzzy coefficients[J].Control Theory & Applications,2009,26(6):701-703. |
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| Authors: | ZHU Jia-xiang TAN Qing-mei JING Xiang-yuan and DONG feng |
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| Affiliation: | Nanjing University of Aeronautics & Astronautics, Nanjing Jiangsu 210016, China;Nanjing University of Aeronautics & Astronautics, Nanjing Jiangsu 210016, China;Nanjing University of Aeronautics & Astronautics, Nanjing Jiangsu 210016, China;Nanjing University of Aeronautics & Astronautics, Nanjing Jiangsu 210016, China |
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| Abstract: | In dealing with the linear programming with fuzzy coefficients, we propose a linear programming method involving symmetrical trapezoidal fuzzy numbers, and give the corresponding theorems, propositions and algorithms. The efficiency of the method is demonstrated by an example. The proposed method differs from the conventional ones in the fact that the optimal solution can be obtained without transforming it into the classical linear programming. This makes the results more desirable to the decision makers. |
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| Keywords: | symmetrical trapezoid fuzzy number fuzzy optimal solution basic feasible solution fuzzy linear programming |
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