Abstract: Due to the ability limitations of decision makers and the uncertainty of the objects being evaluated, the three-way decision models have insufficient expressive power in dealing with hesitant and fuzzy decision problems caused by fuzzy information and subjective cognitive concepts.In order to solve the above shortcomings, the intuitionistic fuzzy set is introduced to establish the corresponding three-way decision models.Firstly, considering that intuitionistic hesitant fuzzy set contains the characteristics of multiple membership degrees, the three-way decision method based on single intuitionistic fuzzy number is established in the case of determining the risk cost matrix.On this basis, three-way decision models based on intuitionistic hesitation fuzzy sets are established by using intuitionistic hesitation fuzzy sets as the domain.Then, taking into account the semantic interpretation of particular environment, decision-making rules based on optimism, pessimism, and minority obedience are formed.Finally, combining with the safety risk assessment methods in the aviation field, three-way decision methods of aviation safety risk based on double evaluation function are presented, and the concrete application process of the model is illustrated by an example.

Key words: Decision-theoretic rough sets, Intuition hesitant fuzzy sets, Risk analysis, Three-way decision method