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多属性决策的Vague集方法
引用本文:魏峰,张瑞平.多属性决策的Vague集方法[J].计算机工程与设计,2007,28(7):1614-1616.
作者姓名:魏峰  张瑞平
作者单位:西安理工大学,理学院,陕西,西安,710054;西安理工大学,理学院,陕西,西安,710054
摘    要:对多属性决策问题和信息集结问题进行了研究,分析了已有Vague集方法,并通过例子说明其不足之处.提出了一种多属性决策的Vague集方法.定义了方案对目标的支持(反对、中立)度等概念,利用目标优属度矩阵对属性值及属性权重进行集结,从而得到方案的Vague估计值.定义正(负)理想Vague值,并用TOPSIS法对方案进行排序和选优.算例验证了该方法的有效性和可行性.

关 键 词:多属性决策  支持  反对、中立度  目标优属度矩阵  Vague集  直觉模糊集  信息集结
文章编号:1000-7024(2007)07-1614-03
修稿时间:2006-03-16

Vague set methods of multi-attribute decision making
WEI Feng,ZHANG Rui-ping.Vague set methods of multi-attribute decision making[J].Computer Engineering and Design,2007,28(7):1614-1616.
Authors:WEI Feng  ZHANG Rui-ping
Abstract:The multi-attribute decision making and information aggregation problems are studied. The present vague set method is anal-yzed and their shortcoming is showed by example. A new vague set method for multi-attribute decision making is presented. The concepts of the favor (against,neutral) grade of each alternative to the attributes are defined. Using the objective-grade-membership matrix,the attribute values are aggregated,and the vague evaluation of each alternative is obtained. The idea (anti-idea) vague values are defined,then all alternatives are ranked and the best one is selected using the TOPSIS method. An example shows that the proposed method is effective and feasible.
Keywords:multi-attribute decision making  the favor (against  neutral) grade  objective-grade-membership matrix  vague sets  intuitionistic fuzzy sets  information aggregation
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