关键词: 多准则决策, 区间Pythagorean模糊数, 投影, 满意度, 交互

Abstract: The main goal of this paper is to study the interactive multi-attribute decision making problem where the attribute value is described by interval-valued Pythagorean fuzzy number and the information about criteria weight is incomplete. Firstly, the projection of the weighted score vector of every alternative on the Pythagorean fuzzy positive and negative ideal points is obtained by using the score function of interval-valued Pythagorean fuzzy number, and an optimization model is established to obtain the criteria weights. Secondly, a single objective programming model is obtained by using the objective information of alternatives and the subjective requirements provided by the decision maker, and the process of interactive decision making is implemented by giving and revising the satisfactory degree of alternative. Finally, an illustrated example is given to verify the effectiveness and feasibility of the proposed method.

Key words: multi-attribute decision making, interval-valued Pythagorean fuzzy number, projection, satisfactory degree, interactive