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带权值的模糊多目标线性规划
引用本文:李学全,李辉.带权值的模糊多目标线性规划[J].经济数学,2003,20(4):81-85.
作者姓名:李学全  李辉
作者单位:中南大学数学科学与计算技术学院,长沙,410083
摘    要:本文提出了求解一般多目标性规划问题 (MOL P)的带权值的模糊多目标线性规划方法 .证明了在权值都大于零的条件下 ,与 (MOLP)原问题对应的带权值的模糊多目标线性规划问题的最优解为模糊有效解 ,从而为原问题的有效解 ,并作了实例验证 .

关 键 词:模糊多目标线性规划  两阶段法  算子法
修稿时间:2003年6月7日

FUZZY MULTIPLE OBJECTIVE PROGRAMMING WITH WEIGHTED COEFFICIENTS
Li Xue-quan,Li Hui.FUZZY MULTIPLE OBJECTIVE PROGRAMMING WITH WEIGHTED COEFFICIENTS[J].Mathematics in Economics,2003,20(4):81-85.
Authors:Li Xue-quan  Li Hui
Abstract:In this paper,the methold of fuzzy multiple objective programming with weighted coefficients for solving a multiple objective programming(MOLP)has been proposed.It has been proven that under all of weighted coefficients are larger than zero,the optimal solution of fuzzy multiple objective programming with weighted coefficients is fuzzy efficient solution.Further,the optimal solution is also the efficient solution of MOLP.Finally,an example to verify the conclusion of theorem in this paper is given.
Keywords:Fuzzy multiobjective linear programming  two-phase approach  operator approach  
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