关键词: 多属性决策, 区间直觉模糊数, 双向投影, Jaynes最大熵

Abstract: A multi-criteria fuzzy decision-making method based on interval-valued intuitionistic fuzzy number is proposed for some situations where the information about criteria weights for alternatives is incompletely known, and the attribute values take the form of intuitionistic fuzzy numbers. The vectors of alternative, ideal and critical alternative are defined. A projection measure method is proposed, in which the attribute values are in the form of interval-valued intuitionistic fuzzy set. A non-linear programming model, based on the Jaynes’ maximum entropy principle and alternatives’ fair competition, is established to obtain the attribute weights. A new relative closeness degree formula based on ideal and critical alternative is presented in order to rank the alternatives. Finally, a numerical example is given to verify the effectiveness and feasibility of the proposed method.

Key words: multiple criteria analysis, interval-valued intuitionistic fuzzy number, bidirectional projection, Jaynes&rsquo, maximum entropy