| 含一般模糊弹性约束的广义模糊变量线性规划 |
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| 引用本文： | 张京亮,陈之宁.含一般模糊弹性约束的广义模糊变量线性规划[J].数学的实践与认识,2014(22). |
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| 作者姓名： | 张京亮 陈之宁 |
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| 作者单位： | 陆军军官学院研究生二队;陆军军官学院基础部数学教研室; |
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| 摘 要： | 建立并讨论了一类含有一般模糊弹性约束的广义模糊变量线性规划问题.首先,简单介绍了结构元方法并对结构元加权排序中权函数表征决策者风险态度进行了深入分析.然后选取风险中性的决策者来定义序关系,应用Verdegay模糊线性规划方法将含一般模糊弹性约束的广义模糊变量线性规划转化经典的线性规划问题,简化了原问题的求解.最后通过数值算例进一步说明了该方法的有效性.
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| 关 键 词： | 模糊变量 结构元 风险态度 一般模糊弹性约束 α最优可行解 |
Generalized Fuzzy Variable Linear Programming with General Fuzzy Elastic Constraints |
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| Abstract: | In this paper,a class of new fuzzy variable liner programming problem with fuzzy elastic constraints is constructed and discussed.Firstly,the authors introduce the basic principle of structured element and make deeply analysis about the connection between weight function and risk attitude of decision-makers.Then,select the risk-neutral decision-maker to define order relations,applying Verdegay's method of fuzzy liner programming,transform the new fuzzy liner programming problem into classical linear programming problem.Finally,the authors further illustrate the effectiveness of this method by a numerical example. |
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| Keywords: | fuzzy variables structured element risk attitude fuzzy elastic constraints α optimal feasible solution |
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