基于熵理论的多属性群决策专家权重的调整算法
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海军工程大学兵器工程系505教研室

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万俊

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Algorithm of adjusting weights of decision-makers in multi-attribute group decision-making based on entropy theory
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    摘要:

    研究多属性群决策中决策者权重的调整问题. 在得到决策者主观权重的基础上, 提出一种权重调整算法. 通过计算专家个体决策结果与群体决策结果的偏差量并结合熵理论求得专家的客观权重, 将其作为权重调整值, 进行决策者的权重调整. 计算调整后的决策结果, 并据此继续对权重进行调整. 通过反复调整, 直至计算出稳定的权重和决策结果. 最后通过算例表明了该方法的可行性与实用性.

    Abstract:

    The problem of adjusting the weights of decision-makers in multi-attribute group decision-making is studied. An algorithm of weight-adjusting is proposed on the basis of obtaining the subjective weights of decision-makers. The objective weights of decision-makers are calculated by the difference between the decision results of the individual and the group and combining with the theory of entropy. The objective weights are taken as the value of adjusting-weight to adjust the weights of decision-makers. The result is calculated after the adjustment, and the weight-adjusting is continued on the basis of the
    new result. The steady weights and final result of group decision-making are calculated after the process of adjustment. Finally, a numerical example shows the feasibility and practicability of this method.

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万俊.基于熵理论的多属性群决策专家权重的调整算法[J].控制与决策,2010,25(6):907-910

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  • 收稿日期:2009-06-08
  • 最后修改日期:2009-10-11
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  • 在线发布日期: 2010-06-20
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