关键词: 多属性决策, Vague集, 直觉模糊数, 属性权重

Abstract: This paper discusses a multi-attribute decision-making problem of Vague set，which attribute values and preference values are Vague values.Aiming at the fact that attribute values and preference values on alternatives expressed by Vague values are transferred into intuitionistic fuzzy values，attribute weight is obtained by building and solving a programming model，which uses the deviations existed between attribute values and preference values on alternatives expressed by intuitionsitic fuzzy values，it analyzes irrationality of programming modeling built in related reference.By minimizing the deviations between synthesizing values and preference values on alternatives expressed by intuitionistic fuzzy numbers，attribute weight is obtained by building and solving a programming model.By transforming Vague sets into fuzzy sets，it obtains fuzzy matrix and the fuzzy priority relation matrix by using linear ranking of fuzzy matrix，and by cutting the fuzzy priority relation matrix，the best alternative can be obtained.A practical example is given to illustrate the feasibility of the developed method.

Key words: multi-attribute decision-making, Vague set, intuitionistic fuzzy numbers, attribute weight