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三参数区间灰数的多属性灰靶决策方法

         

摘要

The grey target decision-making model is proposed based on three-parameter interval grey number for multi-attribute decision-making problems with uncertain decision information. Firstly,a new distance measure of three-parameter interval grey number is given based on the importance of the“center of gravity”to determine the positive and negative clouts. The kernel and ranking method of three-parameter interval grey number is defined , and a new comprehensive off-target distance is proposed,which integrates the distance between different attributes to the positive and negative clouts. Attribute weights are determined by comprehensive off-target target minimum distance and grey entropy maximization. An example is presented to illustrate the usefulness and effectiveness of the proposed method.%针对决策信息不确定的多属性决策问题,提出了基于三参数区间灰数的灰靶决策方法。首先基于“重心”点的重要作用给出了一种新型的三参数区间灰数的距离测度,定义了三参数区间灰数的核和排序方法,由此确定决策方案的正负靶心,利用正负靶心距的空间投影距离求得综合靶心距,由综合靶心距最小化和灰熵最大化确定属性的权重,进而对方案进行排序。最后以一个实例说明决策模型的合理性和实用性。

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