三参数区间灰数的距离熵模型及应用研究

Study on the distance entropy model based on three-parameter interval grey numbers and its application

区间灰数决策是不确定性决策理论的重要研究领域.针对三参数区间灰数决策问题,借助信息熵理论,建立了三参数区间灰数距离熵模型;证明了三参数区间灰数与灰距离熵的关系;在此基础上,提出了三参数区间灰数多属性决策的赋权方法;最后,结合具体实例,验证了该方法的适用性.

Decision-making with interval grey number is an important research field in uncertain deci- sion-making theory. For the decision-making problem with three-parameter interval grey number, this paper establishes an entropy model of three-parameter interval grey number distance based on informa- tion entropy theory, and proves the relationship of three-parameter interval grey number and grey dis- tance entropy. On this basis, weighted method of multiple attribute decision-making with three-param- eter interval grey number is put forward. Finally, the applicability of the method is verified by an ex- ample.