在二型直觉模糊集与直觉梯形模糊数的基础上, 定义二型直觉梯形模糊数及其运算规则, 证明了该运算规则的相关性质. 由此定义二型直觉梯形模糊数的几类集结算子, 讨论了这些算子的性质, 将二型直觉梯形模糊混合算术平均(T2ITrFHA)算子与二型直觉梯形模糊混合几何(T2ITrFHG)算子应用于群决策中, 提出基于T2ITrFHA算子与T2ITrFHG算子联合的多准则群决策方法. 最后, 算例表明文章所提方法的有效性及合理性.

A concept of type-2 intuitionistic trapezoidal fuzzy number is proposed, its operational laws are developed based on the type-2 intuitionistic fuzzy set and the intuitionistic trapezoidal fuzzy number, and some properties of its operational laws are proved. Furthermore, some aggregation operators of the type-2 intuitionistic trapezoidal fuzzy number as well as their properties are proposed. Then, the type-2 intuitionistic trapezoidal fuzzy hybrid aggregation (T2ITrFHA) operator and the type-2 intuitionistic trapezoidal fuzzy hybrid geometric (T2ITrFHG) operator are applied to address group decision making problems and a method for multi-criteria group decision making based on the combination of the T2ITrFHG operator and the T2ITrFHG operator is developed. Finally, a practical example is given to show the feasibility and effectiveness of the proposed approach.