具有t -模糊变量的多目标几何规划

22nd International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2003 Pub Date : 2003-07-24 DOI:10.1109/NAFIPS.2003.1226828

B. Cao

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引用次数: 2

摘要

在引入变量的定义和性质的基础上，将t -模糊变量引入到几何规划模型中，建立了含t -模糊变量的多目标几何规划。在非模糊化处理变量的条件下，确定了规划。在得到t -模糊变量原拟多项式几何规划的对偶形式之前，将规划转化为依赖于锥指标J的普通几何规划。因此，许多有关几何规划的结果可以完全移植。在此基础上，笔者首先讨论了一个对偶问题。然后引出了t -模糊变量原多项式几何规划与其对偶形式的关系。第三，提出了原算法和对偶算法。最后通过数值算例对模型和算法进行了验证。

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Multi-objective geometric programming with T-fuzzy variables

On the introduction of the definition and properties of the variables, T-fuzzy variables are drawn into a geometric programming model before a multi-objective geometric programming with the variables is built. The programming is determined on the condition that the variables are handled in a non-fuzzification way. Besides the programming is changed into an ordinary geometric programming dependent on the cone index J before a dual form is acquired corresponding to the primal posynomial geometric programming with T-fuzzy variables. Therefore lots of results concerning geometric programming can be completely transplanted. Based on this, the author first discuses a dual problem. Then he elicits the relation between the primal posynomial geometric programming with T-fuzzy variables and its dual form. Third he develops primal and dual algorithms to the programming. And final he verifies the model and algorithms through numerical examples.

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来源期刊

22nd International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2003

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