The analytic network process framework is investigated to solve multi-criteria decision making problems in interval-valued intuitionistic fuzzy environments. First, a new approximate multiplicative consistent interval-valued intuitionistic fuzzy preference relation is defined, and the equivalent condition of approximate consistency is given by using the chance-constraint programming model of the Me measure. Second, a new method to derive the priorities from the interval-valued intuitionistic fuzzy preference relation is proposed, and the corresponding algorithm flow of the interval-valued intuitionistic fuzzy analytic network process is established. Finally, the feasibility and effectiveness of the interval-valued intuitionistic fuzzy analytic network process are verified by using a numerical example.

研究了解析网络过程框架，以解决区间值直觉模糊环境中的多准则决策问题。首先，定义了一个新的近似乘性一致区间值直觉模糊偏好关系，并通过Me度量的机会约束规划模型给出了近似一致的等价条件。其次，提出了一种从区间直觉模糊偏好关系中推导优先级的新方法，并建立了区间直觉模糊分析网络过程的相应算法流程。最后，通过算例验证了区间直觉模糊分析网络过程的可行性和有效性。