关键词: 区间直觉模糊集, 相似度, 得分函数, 熵权法, TOPSIS

Abstract: The TOPSIS multi-criterion decision-making problem of interval-valued intuitionistic fuzzy information is investigated in this paper. Firstly, the characteristics of the entropy-weighted method and interval-valued intuitionistic fuzzy sets are studied, and then the entropy-weighted method is applied to interval-valued intuitionistic fuzzy sets to determine the criterion weights. Secondly, as for the interval-valued intuitionistic fuzzy multi-criterion decision-making problem in which criteri weights are unknown, a new decision-making method which can be applied to evaluate information directly is proposed based on the prospect entropy-weighted method. This new method not only generalizes the application scope of the traditional entropy-weighted method, but also doesn't require the decision-maker to give weight information about criteria in advance. Thus the results tend to be more objective and more reliable. Finally, an example is given and the result shows the feasibility and effectiveness of this method. The new intuitionistic fuzzy multi-criteria decision-making approach can be easily applied.

Key words: interval-valued intuitionistic fuzzy set, TOPSIS, similarity measure, entropy-weighted method