Abstract: Based on the theory of intuitionistic fuzzy S-rough sets,the two direction intuitionistic fuzzy S-rough decision model was proposed. First, approaches to measures for evaluating goals and normalization of goals matrix values were described. Then, the models of abovcdecision and under-decision of intuitionistic fuzzy trough decision were founded;the arithmetic and detailed processes of intuitionistic fuzzy S-rough decision were given. Finally, the threat evaluating instances were detailed in the course of air attack goals. The results show that the intuitionistic fuzzy trough model can treat decision ingredients with all-around and the result reflects the truth well and truly.

Key words: Intuitionistic fuzzy S-set, Intuitionistic fuzzy trough sets, Intuitionistic fuzzy trough decision, Weight