In order to solve the problem of ship borne gunfire target selection and decision-making problem, according to primitive fuzzy multi-attribution decision-making, a TOPSIS multi-attribute decision method based on dual hesitant fuzzy uncertain linguistic set is proposed. At first, make definition of dual hesitant fuzzy uncertain linguistic set, then popularize the traditional TOPSIS method, at last use it in ship-borne gunfire shooting selection, and verify the effectiveness by test. The results show that the method is easy, and it provides a new method to the problem of ship-borne gunfire target selection.