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含直觉模糊弹性约束的模糊线性规划求解
引用本文:刘云志,郭嗣琮. 含直觉模糊弹性约束的模糊线性规划求解[J]. 系统工程理论与实践, 2013, 33(8): 2027-2032. DOI: 10.12011/1000-6788(2013)8-2027
作者姓名:刘云志  郭嗣琮
作者单位:辽宁工程技术大学 理学院 数学与系统工程研究所, 阜新 123000
基金项目:教育部高校博士学科点专项科研基金
摘    要:本文基于模糊结构元方法构建并讨论了一类含有直觉模糊弹性约束的新型模糊线性规划问题. 通过引入模糊数的加权特征数, 定义了一种序关系并拓展了Verdegay的模糊线性规划方法, 将新型模糊线性规划问题转化成两个等价的含参数约束条件的清晰线性规划模型, 给出了此类线性规划模型对比最优可行解的求法. 最后通过一个数值实例来说明此类问题的一般求解方法.

关 键 词:模糊结构元  直觉模糊弹性约束  模糊线性规划  序关系  对比最优可行解  
收稿时间:2011-05-24

Method for solving fuzzy linear programming with intuitionistic fuzzy elastic constraints
LIU Yun-zhi , GUO Si-cong. Method for solving fuzzy linear programming with intuitionistic fuzzy elastic constraints[J]. Systems Engineering —Theory & Practice, 2013, 33(8): 2027-2032. DOI: 10.12011/1000-6788(2013)8-2027
Authors:LIU Yun-zhi    GUO Si-cong
Affiliation:Institute of Mathematics and Systems Science, College of Science, Liaoning Technical University, Fuxin 123000, China
Abstract:In this paper, a class of new fuzzy linear programming problem with intuitionistic fuzzy elastic constraints is constructed and discussed based on the fuzzy structured element method. By introducing the basic principle of the weighted characteristic number (WCN), the authors define an order relation and expand the Verdegay's method of the fuzzy linear programming. Then, the authors transform the new fuzzy linear programming problem into two equivalent and clear linear programming models with parameter constrains. The compared optimal feasible solution of the two equivalent and clear linear programming models is given. Finally, the authors give a numerical example to illustrate the general method for solving the proposed fuzzy linear programming problem.
Keywords:fuzzy structured element  intuitionistic fuzzy elastic constraints  fuzzy linear programming  order relation  compared optimal feasible solution
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