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基于相对熵的不完全信息群体专家权重的集结
引用本文:万树平.基于相对熵的不完全信息群体专家权重的集结[J].应用数学与计算数学学报,2009,23(1):66-70.
作者姓名:万树平
作者单位:江西财经大学信息管理学院,南昌,330013
基金项目:国家自然科学基金,江西省自然科学基金,江西省教育厅科技项目 
摘    要:针对属性权重信息和属性效用信息都不完全的群体多属性决策问题,运用相对熵理论提出了一种专家权重的确定方法.该方法通过集结各方案的综合评价值向量,客观地得到专家的权重,避免系统聚类方法中由给定相似度水平归类而产生的主观性问题.应用实例表明了方法的有效性和实用性.

关 键 词:群体决策  不完全信息  区间数  相对熵

Congregating of the Experts' Weights Based on Relative Entropy for Group Decision-making Problem with Incomplete Information
Wan Shuping.Congregating of the Experts'' Weights Based on Relative Entropy for Group Decision-making Problem with Incomplete Information[J].Communication on Applied Mathematics and Computation,2009,23(1):66-70.
Authors:Wan Shuping
Institution:Wan Shuping (College of Information Technology, Jiangxi University of Finance and Economic, Nanchang 330013, China)
Abstract:Aimed at the group decision-making problem, in which the information of weights and values of attributes are incomplete, this paper proposes a new method to determine the experts' weights based on the theory of relative entropy. The method integrates the comprehensive assessment vectors of each alternative to objectively obtain the weights of the experts. It can void the subjective drawback produced by giving the level of similarity degree to classify in the hierarchical clustering method. Finally, the applied example proves that the approach is feasible and practicable.
Keywords:group decision-making  incomplete information  interval number  relative entropy
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