| 基于离差的模糊多属性决策法及其应用 |
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| 引用本文： | 杨静,QIU Wan-hua.基于离差的模糊多属性决策法及其应用[J].系统工程,2008,26(6). |
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| 作者姓名： | 杨静 QIU Wan-hua |
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| 作者单位： | 北京航空航天大学,经济管理学院,北京,100083;首都经济贸易大学,安全与环境工程学院,北京,100070 |
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| 基金项目： | 教育部人文社会科学规划研究基金资助项目 |
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| 摘 要： | 针对属性权重完全未知且属性值为三角模糊数的多属性决策问题,本文提出了一种基于线性规划和模糊向量投影的决策方法.该方法给出了三角模糊数向量投影、相对贴近度等概念.基于加权属性值离差最大化建立一个线性规划模型,通过求解此模型得到属性的权重,从而计算各方案的加权属性值在模糊正理想点和负理想解上的投影 ,进而计算相对贴近度,并据此对方案进行排序.最后,通过算例说明模型及方法的可行性和有效性.
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| 关 键 词： | 模糊多属性决策 投影 离差 权重 |
Method of Fuzzy Multi-attribute Decision-making Based on the Deviation Model |
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| YANG Jing,QIU Wan-hua.Method of Fuzzy Multi-attribute Decision-making Based on the Deviation Model[J].Systems Engineering,2008,26(6). |
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| Authors: | YANG Jing QIU Wan-hua |
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| Institution: | 1.School of Economics and Management;Beihang University;Beijing 100083;China;2.School of Safety and Environment;Capital University of Economics and Business;Beijing 100070;China |
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| Abstract: | With regard to the fuzzy multi-attribute decision making(FMADM) problems,in which the information about attribute weights are unknown completely and the attribute values are in the form of triangular fuzzy numbers,this paper explores a method based on the linear programming model and projection of fuzzy numbers vectors.Some concepts such as the projection of triangular fuzzy numbers vectors,relative degree of approximation,et al,are proposed.Two normalized formula of attribute values are also presented.A li... |
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| Keywords: | Fuzzy Multi-attribute Decision-making Projection Deviation Weight |
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