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首页> 外文会议>International Symposium on Knowledge and Systems Sciences(KSS2004); 20041110-12; Ishikawa(JP) >Reaching Consensus In Allocating The Decision-makers' Weight In Group Decision-making Problems
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Reaching Consensus In Allocating The Decision-makers' Weight In Group Decision-making Problems

机译：在群体决策问题中分配决策者的权重达成共识

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摘要

There are many problems that prohibits reaching the group consensus in group decision-making. The most difficult one among these problems is to allocate the decision-makers' weight in the decision. Decision makers' weight is being discussed as one of the key pillars in this paper. Prior research methods on the weight allocation of group decision-making include Authority Allocation, Nominal Group Technique method, Entropy Method and Fuzzy Cluster Analysis. The first and the second methods analyze the weight from the subjective aspect and the rest analyze the weight based on the historical decision-making data. Essentially, weight allocation is a complicated problem. These methods unavoidably lead to unilateral conclusion. This paper defines the quantificational preference utility value of a scheme, puts forwards a new algorithm to determine the decision-makers' weight in group decision problems, and considers three factors affecting the decision-makers' weight from subjective and objective aspects in the weight evaluation model, including the subjective evaluated weight, the consistency weight and the diversity weight. This paper studies the resolving algorithm of weight evaluation based on hierarchical analysis and normal Stochastic matrix, analyzes the quantitative relationship between decision maker's weight and the consistency index and characteristic vector of preference judgment matrix. In the end, the paper puts forward the interactive implementation steps of the decision-making algorithm for group decision-making problems.
机译：存在许多问题，无法在小组决策中达成小组共识。这些问题中最困难的一个就是在决策中分配决策者的权重。决策者的权重正在作为本文的主要支柱之一进行讨论。关于群体决策权重分配的现有研究方法包括权限分配，名义群体技术法，熵权法和模糊聚类分析。第一种和第二种方法从主观方面分析权重，其余方法根据历史决策数据分析权重。本质上，权重分配是一个复杂的问题。这些方法不可避免地导致单方面的结论。本文定义了一个方案的量化偏好效用值，提出了一种确定群体决策问题中决策者权重的新算法，并在权重评估中从主观和客观两个方面考虑了影响决策者权重的三个因素。模型，包括主观评估权重，一致性权重和多样性权重。本文研究了基于层次分析和正态随机矩阵的权重评估求解算法，分析了决策者权重与偏好判断矩阵的一致性指标和特征向量之间的定量关系。最后，针对群体决策问题提出了决策算法的交互式实现步骤。

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