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基于二元语义一致性的混合多属性灰关联决策
引用本文:郭欢 肖新平 Jeffrey Forrest 刘勇.基于二元语义一致性的混合多属性灰关联决策[J].控制与决策,2014,29(5):880-884.
作者姓名:郭欢  肖新平  Jeffrey  Forrest  刘勇
作者单位:1. 武汉理工大学理学院,武汉430063;
2. 宾州州立SR 大学数学系, PA 16057;
3. 南京航空航天大学经济与管理学院,南京211106
基金项目:

教育部高等学校博士学科专项科研基金项目(20120143110001);武汉理工大学国际交流预研项目(2012-JL-06)

摘    要:

为了解决指标权重未知的混合型多属性决策问题, 提出基于二元语义一致性的灰关联决策方法. 首先, 针对异质决策信息问题, 提出了使所有决策信息转化为二元语义变量的一致化方法; 然后根据离差最大化原理, 客观确定属性的指标权重, 利用灰关联分析对决策方案进行排序; 最后以某供应链中供应商的绩效评估作为算例, 用所提出方法对混合型多属性决策问题进行求解, 结果表明该方法易于操作且可为决策者提供丰富的决策信息.



关 键 词:

混合多属性决策|二元语义|离差最大化|灰关联分析

收稿时间:2013/1/28 0:00:00
修稿时间:2013/4/29 0:00:00

Method of grey relational analysis based on two-tuple linguistic consistency for hybrid multi-attribute decision-making
GUO Huan XIAO Xin-ping Jeffrey Forrest LIU Yong.Method of grey relational analysis based on two-tuple linguistic consistency for hybrid multi-attribute decision-making[J].Control and Decision,2014,29(5):880-884.
Authors:GUO Huan XIAO Xin-ping Jeffrey Forrest LIU Yong
Abstract:

To deal with the hybrid multi-attribute decision-making problem with attribute weight information unknown, a grey relation analysis method based on two-tuple linguistic consistency is proposed. Firstly, aiming at the problem of heterogeneous decision information, an unifier method is proposed to switch all the decision information to 2-tuple linguistic information. Then, according to the maximizing deviation, the index weight can be objectively determined, and the optimal alternative is determined by calculating the linguistic degree of grey relation of every alternative and ideal solution. Finally, a numerical example of the performance evaluation of the suppliers in one supply chains is given to carry on the confirmation to the practicable method which can provide more valuable information on decision-making.

Keywords:

hybrid multi-attribute decision-making|two-tuple linguistic|maximizing deviation|grey relational analysis

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