Modified Golden Rule Correlation Values for Interval Values in Decision-making Situations

In the process of dealing with multi-criteria decision-making problems, determining the priority of interval values is a common and important issue. When there are multiple interval values to be compared, it is difficult to determine their priority by directly comparing the endpoints of these interval values. We need to use some processing methods to convert interval values into directly comparable related values that are closely related to some of their properties. Yager proposed in 2016 to use the golden rule to calculate correlation values of interval values, but this method has some problems. For example, when the midpoint is 0.5, the influence of interval width on the correlation value is ignored and the influence of interval width on the correlation value is not uniform. Therefore, we propose a modified golden rule correlation value calculation method. The new method better considers the actual meaning of interval midpoint and interval length in decision-making situations, and reflects it in the calculation of correlation value.