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多层次交互式确定权重的方法
引用本文:梁樑,王国华.多层次交互式确定权重的方法[J].系统工程学报,2002,17(4):358-363.
作者姓名:梁樑  王国华
作者单位:中国科学技术大学商学院,合肥,230026
基金项目:国家自然科学基金资助项目 (795 70 0 69)
摘    要:提出了一种多层次交互式决策模型的权重确定方法,该模型上由上级确定各指标权重的范围和某些规则,各下级在上级约束下,根据自己的偏好确定各自的权重后提交上级,并由上级进行综合,确定系统的参考权重;然后反馈给各单元,由各单元再次确定各自的权重,并提交上级进行综合,这样不断反馈,直至满足一定要求后终止,由上级最终确定系统综合权重,最后,以一个算例说明该方法的实施过程。

关 键 词:多层次交互式确定权重  群组决策  多指标决策  线性规划
文章编号:1000-5781(2002)04-0358-06
修稿时间:2001年1月15日

Method of solving weights based on hierarchical and interactive model
LIANG Liang,WANG Guo hua.Method of solving weights based on hierarchical and interactive model[J].Journal of Systems Engineering,2002,17(4):358-363.
Authors:LIANG Liang  WANG Guo hua
Abstract:In this paper,a new method is proposed for solving the weights of the attributes based on a certain hierarchical and interactive model. In this model there are certain limits and rules given by the superior, under the given limits the weight of every element can be assumed base on certain favors. And then the inferior submit them to the superior. The referenced weight of the system can be synthesized according to the feedback of the weights. Then the inferior will reassume the weights of all elements according to the referenced weight of the system and submit them to the superior. After this interactive process ending at a certain state, the synthetical weight of the system will be fixed. An example given at the end of the paper shows the process of this method.
Keywords:group decision  multiple attribute decision  linear programming
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