| 一类模糊线性规划的求解方法及应用 |
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| 引用本文： | 高淑萍,刘三阳.一类模糊线性规划的求解方法及应用[J].系统工程与电子技术,2005,27(8):1412-1415. |
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| 作者姓名： | 高淑萍 刘三阳 |
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| 作者单位： | 西安电子科技大学数学系,陕西,西安,710071 |
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| 基金项目： | 陕西省自然科学基金资助课题(2002A12) |
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| 摘 要： | 利用一种新的模糊数排序准则,提出了约束条件中含有三角模糊数的模糊线性规划转化为经典的线性规划的方法。与其他方法相比,该方法从理论上证明了得到的解优于其它解,约束条件个数少。用该方法求解了具有模糊等式约束的运输问题。通过数值算例,进一步表明了提出方法的有效性和应用的广泛性。
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| 关 键 词： | 三角模糊数 排序准则 模糊线性规划 运输问题 |
| 文章编号： | 1001-506X(2005)08-1412-04 |
| 修稿时间： | 2004年9月26日 |
Solution to fuzzy linear programming and its application |
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| GAO Shu-ping,LIU San-yang.Solution to fuzzy linear programming and its application[J].System Engineering and Electronics,2005,27(8):1412-1415. |
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| Authors: | GAO Shu-ping LIU San-yang |
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| Abstract: | Fuzzy linear programming with constraint coefficients of triangle fuzzy numbers is transformed into classical linear programming by using a new ranking criterion of fuzzy numbers. Compared with the existing methods, firstly, the obtained solution is superior to other solutions in theory, secondly, this method has fewer number of constraints. The method can be applied to the transportation problem with fuzzy equality constraints. Moreover, effectiveness and extensive application of this method are illustrated by examples. |
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| Keywords: | triangle fuzzy number ranking criteria fuzzy linear programming transportation problem |
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