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一种具有不同形式效用值的群决策方法
引用本文:姜艳萍,樊治平.一种具有不同形式效用值的群决策方法[J].运筹与管理,2005,14(2):1-4.
作者姓名:姜艳萍  樊治平
作者单位:东北大学,工商管理学院,辽宁,沈阳,110004
基金项目:国家自然科学基金资助项目(70371050、70301008),教育部高等学校优秀青年教师教学科研奖励计划资助项目(教人司[2002]123),高等学校博士学科点专项科研基金(20040145018),辽宁省博士启动基金(20041019),辽宁省自然科学基金资助项目(20032028)
摘    要:研究了具有实数值、区间数和语言短语等三种形式效用值信息的群决策问题.首先给出了具有不同形式效用值的群决策问题的描述;然后给出了具有三种形式效用值的群决策方法的计算步骤.在该方法中,将不同形式的效用值均转化为区间数形式的效用值,通过加权法则得到每个方案的区间数群体综合效用值,并依据群体综合效用值进行方案的排序.最后通过给出一个算例说明了本给出的方法.

关 键 词:群决策  效用值  一致化  集结  方案优选
文章编号:1007-3221(2005)02-0001-04
修稿时间:2004年7月20日

A Method for Group Decision Making Problems with Different Forms of Utility Values
JIANG Yan-ping,FAN Zhi-ping.A Method for Group Decision Making Problems with Different Forms of Utility Values[J].Operations Research and Management Science,2005,14(2):1-4.
Authors:JIANG Yan-ping  FAN Zhi-ping
Abstract:The purpose of this paper is to study group decision making problems with three different forms of utility values, such as real number, interval number and linguistic assessment term. Firstly, the group decision making problem with different forms of utility values is introduced. Then, the computational procedure is given to solve the group decision making problems with three forms of utility values. In the method, different forms of utility values are unified into the form of interval number. And based on weighted average aggregation method, the group comprehensive evaluation value of every alternative is obtained. The result of alternatives selection is determined by means of the obtained group comprehensive evaluation value. Finally, a numerical example is used to illustrate the use of the proposed method.
Keywords:group decision making  utility values  uniformity  aggregation  alternative selection
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