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一种基于Max-Min方法的带模糊约束线性规划的解法
引用本文:赵娟,刘琼荪.一种基于Max-Min方法的带模糊约束线性规划的解法[J].湘南学院学报,2010,31(5).
作者姓名:赵娟  刘琼荪
作者单位:1. 国防科技大学,计算机学院,湖南,长沙,410073
2. 重庆大学,数学与统计学院,重庆,400030
摘    要:带模糊约束线性规划的关键是如何将其转化为经典的线性规划加以求解,文中基于Werners提出的Max-Min方法,通过对目标函数及约束条件的隶属函数进行加权,建立了一个新的(LP)模型,该方法从理论上证明了其解的模糊有效性,并用实例证明新模型下的解更有效.

关 键 词:模糊约束  模糊线性规划  Max-Min方法  模糊有效

Solution to Fuzzy Linear Programming with Elastic Constrains and Its Application
ZHAO Juan,LIU Qiong-sun.Solution to Fuzzy Linear Programming with Elastic Constrains and Its Application[J].Journal of Xiangnan University,2010,31(5).
Authors:ZHAO Juan  LIU Qiong-sun
Institution:ZHAO Juan1,LIU Qiong-sun2(1.College of Computer Science,National University of Defense Technology,Changsha 410073,China,2.College of Mathematics & Physics,Chongqing University,Chongqing 400030,China)
Abstract:This artical proposed a new solution to a fuzzy linear programming with elastic constrains,which is improved based on the Max-Min solution.A new LP model is established through a general consideration of the membership function of the goal and constrains.The result of the new method is fuzzy efficient in theory.Moreover,an example is given to illustrate the solution which is efficient under the new model.
Keywords:fuzzy constraints  fuzzy linear programming  Max-Min solution  fuzzy efficient  
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