| 多目标线性规划模型的模糊数学解法 |
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| 引用本文： | 王远干. 多目标线性规划模型的模糊数学解法[J]. 钦州学院学报, 2008, 23(3) |
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| 作者姓名： | 王远干 |
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| 作者单位： | 钦州学院数学与计算机科学系,广西,钦州,535000 |
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| 基金项目： | 广西高等教育改革立项 , 钦州学院课题 |
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| 摘 要： | 多目标线性规划是优化问题的一种，是大学生数学建模中经常考核的知识点．它的解要求各子目标函数都要同时达到较优的值，造成模型求解比较困难．文章给出一种基于模糊数学规划的求解方法，通过引进伸缩因子，将各子目标模糊化，从而把多目标规划问题转化为单目标问题，利用Matlab、Lingo等数学工具软件便可容易求得其模糊最优解．最后用一个实例说明了求解过程，该方法简单易行，适合在建模竞赛时采用．
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| 关 键 词： | 数学建模 优化问题 模糊数学 伸缩指标 |
One Solution of Multi-Objective Linear Programming Model with Fuzzy Mathematics |
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| WANG Yuan-gan. One Solution of Multi-Objective Linear Programming Model with Fuzzy Mathematics[J]. Journal of Qinzhou University, 2008, 23(3) |
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| Authors: | WANG Yuan-gan |
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| Affiliation: | WANG Yuan-gan(Department of mathematics , computer,Qinzhou University,Qinzhou 535000,China) |
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| Abstract: | Multi-objective linear programming is one of the optimal problems,which has often been used in the China Undergraduate Mathematical Contest in Modeling.It requires all the objective functions to achieve comparatively optimum value at the same time,so it makes the solving of the problem more difficultly.By using the flexible indexes and let every sub-object fuzzing,a solution of the problem based on the fuzzy mathematical programming is proposed.Using the method,we can turn the multi-objective problem into a... |
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| Keywords: | Mathematical modeling Optimization problem Fuzzy mathematics Flexible indexes |
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