| 求解灰色双层线性规划模型的交互式模糊算法 |
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| 引用本文： | 徐斌,李南,王建华. 求解灰色双层线性规划模型的交互式模糊算法[J]. 系统工程学报, 2010, 25(2) |
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| 作者姓名： | 徐斌 李南 王建华 |
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| 作者单位： | 1. 南京航空航天大学经济与管理学院,江苏,南京,210016;内蒙古自治区科学技术厅,内蒙古自治区,呼和浩特,010010
2. 南京航空航天大学经济与管理学院,江苏,南京,210016 |
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| 基金项目： | 南京财经大学科研项目，教育部人文社会科学研究项目 |
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| 摘 要： | 通过提出灰色双层漂移型线性规划的概念和建立灰色双层漂移型线性规划模型,描述了具有灰色信息的递阶双层系统的决策问题;改进已有的交互式模糊算法,克服了模型求解的困难性和复杂性,将灰信息带入求解过程,使算法在求解灰色双层漂移型线性规划模型时简单、实用,最后通过算例证明提出的求解灰色双层漂移型线性规划模型的交互式模糊算法的简单性和实用性.
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| 关 键 词： | 灰色递阶决策 灰色双层漂移型线性规划 交互式模糊算法 隶属度 |
Interactive fuzzy algorithm to solve grey bi-level linear programming model |
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| XU Bin,LI Nan,WANG Jian-hua. Interactive fuzzy algorithm to solve grey bi-level linear programming model[J]. Journal of Systems Engineering, 2010, 25(2) |
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| Authors: | XU Bin LI Nan WANG Jian-hua |
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| Affiliation: | XU Bin1,2,LI Nan1,WANG Jian-hua1 (1.School of Economic , Management,Nanjing University of Aeronautics , Astronautics,Nanjing 210016,China,2.Science , Technology Department,Inner Mongolia Autonomous Region,Huhehaote 010010,China) |
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| Abstract: | The decision making problem in bi-level system with grey information is studied by presenting the conception of grey bi-level drift-type linear programming and building a grey bi-level drift-type linear programming model(GBLDLPM).To overcome the difficulty and complexity in the process of solving the model and to put the grey information into the solving process,an improved interactive fuzzy algorithm is given.This algorithm can solve GBLDLPM easily and practically.Finally a numerical example was given to i... |
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| Keywords: | grey hiberarchy decision making grey bi-level drift-type linear programming interactive fuzzy algorithm membership degree |
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