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基于极差理论的多属性决策新方法
引用本文:冯新磊,张方伟,张明利,孙宾.基于极差理论的多属性决策新方法[J].聊城大学学报(自然科学版),2007,20(2):33-35.
作者姓名:冯新磊  张方伟  张明利  孙宾
作者单位:1. 聊城大学数学科学学院,山东聊城,252059
2. 烟台大学土木工程学院,山东烟台,264005
3. 巨野试验中学,山东巨野,274900
4. 曲阜杏坛中学,山东曲阜,273100
基金项目:山东省自然科学基金资助项目(2004ZX13)
摘    要:研究了属性权重完全未知,属性值以区间数形式给出的不确定型多属性决策问题,在极差理论基础上给出了求解属性权重的一个简洁公式.最后通过实例说明了该方法的实用性和有效性.

关 键 词:多属性决策  变异系数法  权重  模型
文章编号:1672-6634(2007)02-0033-03
修稿时间:2007-01-25

A Method of Multi-Attribute Decision Making by the Concept of Range Extremity Difference
FENG Xin-lei,ZHANG Fang-wei,ZHANG Ming-li,SUN Bin.A Method of Multi-Attribute Decision Making by the Concept of Range Extremity Difference[J].Journal of Liaocheng University:Natural Science Edition,2007,20(2):33-35.
Authors:FENG Xin-lei  ZHANG Fang-wei  ZHANG Ming-li  SUN Bin
Institution:1.School of mathematics Science,Liaocheng University,Liaocheng 252059,China; 2.epartment of Civil Engineering, Yantai University, Yantai 264005 ,China ;3.Experiment Middle School of Juye,Juye 274900,China ; 4.Xingtan Middle School of Qufu ,Qufu 273100,China
Abstract:The multi-attribute decision making problem,in which the attribute weights were precisely unknown and the attribute values were given in the forms of interval-number,was studied. A simple and explicit formula for obtaining the attribute weights is given by the concept of range extremity difference. Finally,a numerical example is given to show the feasibility and effectiveness of method.
Keywords:multi-attribute decision-making  method of variation coefficient  weights  model
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