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本文提出了灰距离熵的概念,并把灰距离熵作为区间灰数相离度的一个度量标准,建立了不确定多属性决策属性值的灰距离熵离差最大化模型。并在此基础上,讨论了基于灰距离熵和极大熵的双目标规划组合赋权模型。从而实现了决策属性区间权重向点值权重的转化。最后并结合具体实例,验证了模型的有效性。
In this paper, the concept of gray distance entropy is proposed, and the gray distance entropy is taken as a measure of the phase gray degree of phase separation. A gray distance entropy maximization model is established for the uncertain attribute value of multi-attribute decision making. Based on this, the dual-objective programming portfolio weighting model based on gray distance entropy and maximum entropy is discussed. In this way, the conversion of decision attribute interval weights to point value weights is realized. Finally, combined with specific examples, the validity of the model is verified.