This study aims to construct a hybrid decision‐making approach to the stochastic evaluation for the innovation capacity of financial institutions. For this purpose, interval type 2 fuzzy DEMATEL‐ANP is used for weighting the criteria and dimensions. Additionally, TOPSIS and VIKOR methods based on interval type 2 fuzzy sets are considered to rank the alternatives. The novelty of the study is to propose a set of criteria and dimensions of innovation capacity with the supported literature. Another novelty is to propose an extended method of DEMATEL‐ANP by using interval type 2 fuzzy sets as well as an integrated method of interval type 2 fuzzy stochastic decision‐making with the Monte Carlo simulation. The results indicate that organizational dimension of innovation capacities has the highest importance between the set of criteria and the state‐owned banks have been more appropriate than both the private and foreign banks for generating the innovation capacities in the financial institutions. However, the analysis illustrates that stochastic decision‐making models could provide more extensive results than the conventional methods including the expert priorities. This study could be also extended by using different multicriteria decision‐making methods such as MOORA and ELECTRE and also, the cross‐country analysis could be applied for the future studies.