Can the initial data for the entropy weighting method be derived from the hierarchy

The entropy weighting method is a commonly used multi-criteria decision-making method for determining the weights of individual criteria. Typically, the initial data for the entropy weighting method comes from a series of experts evaluating the importance of each criterion. This data can be obtained through the Analytic Hierarchy Process (AHP).

Hierarchical analysis is a structured decision analysis method for determining the weights of factors in a multilevel decision problem. In hierarchical analysis, the problem is decomposed into different levels of criteria, and then the relative weight of each criterion is determined by expert judgment or by comparison between the criteria.

So we can use hierarchical analysis to obtain the weights of experts on the criteria, and then use these weights as the initial data of entropy weighting method to determine the weights of each criterion. This can improve the accuracy and reliability of the entropy weight method. Therefore, the initial data of the entropy weight method can be derived from the hierarchical analysis method.