A new approach for ranking of interval type-2 trapezoidal fuzzy numbers

摘要

Interval type-2 fuzzy sets (IT2 FSs) provide us with additional degrees of freedom to represent the uncertainty and the fuzziness of the real word than traditional type-1 fuzzy sets (T1 FSs). In many applications, ranking of interval type-2 fuzzy numbers is an important component in the decision process. In this paper, the concepts of magnitude mean value and variance of interval type-2 trapezoidal fuzzy numbers (IT2 TrFNs) are introduced and some of their properties are studied.. Then, we propose a new magnitude mean-variance possibility degree method to solve ranking of interval type-2 trapezoidal fuzzy numbers. Finally, some comparative examples are used to illustrate the advantage of the proposed method.