This paper presents a ranking method, two distances, and some definitions for ordering interval type-2 fuzzy numbers based on the Yager index for type-1 fuzzy numbers. The proposed Yager index provides closed equations for the central tendency of well-defined interval type-2 fuzzy numbers. Some numerical examples are given, a comparison to the centroid of an interval type-2 fuzzy number is performed, and some interpretation issues are discussed.

中文翻译：

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区间类型 2 模糊数的 Yager 指数和排序


本文提出了基于 1 类模糊数 Yager 指数的 2 类模糊数排序区间的排序方法、两种距离和一些定义。所提出的 Yager 指数为明确定义的区间 2 型模糊数的集中趋势提供了封闭方程。给出了一些数值例子，与区间2型模糊数的质心进行了比较，并讨论了一些解释问题。