Abstract:Aiming at the characteristic of the decision making for support concept of missile, the technique for order preference by similarity to ideal solution (TOPSIS) method based on Vague collection was researched. The assignment of the indexes using fuzzy language variable, and get to the Euclidean distance define between Vague value and Vague collection of fuzzy language variable. it adopted the score function to get the positive ideal solution and negative ideal solution. The TOPSIS model based on Vague collection was established. Finally, the model was demonstrated through an illustration. It was proved that Vague collection could partially analog the decision-making process of human and could well process the incomplete and inaccuracy information. The TOPSIS method based on Vague collection was rational and simple.