| 具有模糊系数的多目标模糊正项几何规划的解法 |
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| 引用本文： | 周雪刚.具有模糊系数的多目标模糊正项几何规划的解法[J].重庆师范学院学报,2013(6):31-35. |
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| 作者姓名： | 周雪刚 |
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| 作者单位： | 广东金融学院应用数学系,广州510521 |
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| 基金项目： | 广东省自然科学基金博士科研启动基金项目（No.S2013040012506/2013）;广东金融学院科研项目（No.2012RCYJ005/2012） |
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| 摘 要： | 多目标几何规划是解决一些最优化问题的强有力工具,当问题中的参数为模糊数时,目标值也应该是模糊数。本文提出求解系数是模糊数的多目标模糊正项几何规划的算法,首先利用线性加权的方法将问题转化为单目标模糊正项规划问题,再利用Zadeh的扩张原理与对偶原理将单目标模糊正项规划问题转化为两个普通的正项几何规划。
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| 关 键 词： | 多目标模糊正项几何规划 扩张原理 线性加权 对偶原理 |
A Method for Solving Multi-objective Fuzzy Posynomial Geometric Programming with Fuzzy Coefficients |
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| ZHOU Xue-gang.A Method for Solving Multi-objective Fuzzy Posynomial Geometric Programming with Fuzzy Coefficients[J].Journal of Chongqing Normal University(Natural Science Edition),2013(6):31-35. |
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| Authors: | ZHOU Xue-gang |
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| Institution: | ZHOU Xue-gang (Department of Applied Mathematics, Guangdong University of Finance, Guangzhou 510521, China) |
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| Abstract: | Multi-objective posynomial geometric programming （MPGP） is a strong tool for solving a type of optimization problem. When the parameters in the problem are fuzzy number, the calculated objective value should be fuzzy number as well. This paper de- velops a solution procedure to solve multi-objective fuzzy posynomial geometric programming （MFPGP） with fuzzy number coeffi-cients. Firstly, MFPGP is transformed to a single objective fuzzy posynomial geometric programming by linear weighted-sum meth-od. Then, by Zadeh＇ s extension principle and duality theorem, we transform single objective fuzzy posynomial geometric program-ming into a pair of conventional posynomial geometric programming. |
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| Keywords: | Multi-objective fuzzy posynomial geometric programming extension principle linear weighted-sum method dualityprinciple |
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