基于熵和关联系数的区间直觉模糊决策方法

摘要

针对决策信息为区间直觉模糊数且属性权重完全未知的多属性决策问题,提出了一种基于熵和关联系数的决策方法.首先,构建了一种新的区间直觉模糊熵,并提出基于该区间直觉模糊熵的属性权重确定方法.然后,提出了考虑属性权重的区间直觉模糊关联系数,进一步基于以上原理给出了解决属性权重完全未知且属性值为区间直觉模糊数的多属性决策问题的决策步骤.最后,依据以上决策步骤,通过算例的计算表明了该方法的简单性与有效性.%This article proposes an approach to multi-attribute decision making based on information entropy and correlation coeffcient with unknown attribute weight information where individual assessments are provided as interval-valued intuitionistic fuzzy numbers. First of all, a type of technique for constructing interval-valued intuitionistic fuzzy entropy is proposed, and a method is developed based on this entropy values of interval-valued intuitionistic fuzzy numbers to ensure unknown attribute weights. Next, a formula of interval-valued intuitionistic fuzzy numbers correlation coefficient with attribute weights is defined. Then, the decision making steps with unknown attribute weight information is introduced, where individual assessments are provided as interval-valued intuitionistic fuzzy numbers based on the above principle. Finally, the method is used as an example to verify its simplicity and effectiveness.