| 全系数模糊两层线性规划 |
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| 引用本文： | 赵海坤,郭嗣琮.全系数模糊两层线性规划[J].模糊系统与数学,2010,24(3). |
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| 作者姓名： | 赵海坤 郭嗣琮 |
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| 作者单位： | 辽宁工程技术大学,理学院,数学与系统科学研究所,辽宁,阜新,123000 |
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| 基金项目： | 辽宁省教育厅高等学校科学研究项目，辽宁工程技术大学研究生研究项目 |
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| 摘 要： | 利用结构元方法定义一种模糊数排序准则,对模糊系数(目标函数与约束条件中系数为有界模糊数情形)的隶属函数为非单调函数的情形,给出将全系数模糊两层线性规划等价转化为经典的线性规划的方法,并证明了其合理性.与其它方法相比较,该方法不仅约束条件少,而且运算方法简便.最后,将本文的方法运用到数值算例中,进一步表明该提法的有效性和广泛性.
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| 关 键 词： | 模糊结构元 隶属函数 排序准则 两层线性规划 |
Bi-level Linear Programming with All-coefficient-fuzzy |
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| ZHAO Hai-kun,GUO Si-zong.Bi-level Linear Programming with All-coefficient-fuzzy[J].Fuzzy Systems and Mathematics,2010,24(3). |
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| Authors: | ZHAO Hai-kun GUO Si-zong |
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| Institution: | ZHAO Hai-kun,GUO Si-zong (Institute of Mathematics and Systems Science,Liaoning Technical University,Fuxin 123000,China) |
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| Abstract: | In this paper,we construct a model of Bi-level linear programming with All-coefficient-fuzzy,in which all the objective function and constraint coefficients are triangular (or trapezoidal) fuzzy numbers. A new ranking criterion of fuzzy numbers is defined which is based on the method of structured element. According to this ranking criterion,fuzzy linear programming is transformed into classical linear programming,and then the rationality of the theory is proved. Compared with the existing methods,firstly,t... |
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| Keywords: | Fuzzy Structured Element Membership Functions Ranking Criterion Bi-level Linear Programming |
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