关键词: Pythagorean模糊集, 偏好关系, 多属性决策

Abstract:

In view of the group decision making problem based on Pythagorean fuzzy preference relations, this paper develops a multiple attribute decision making method based on additive Pythagorean fuzzy preference relations. Firstly, a new Pythagorean fuzzy weight determination model is proposed based on additive consistent Pythagorean fuzzy preference relations. Then, the definition of Pythagorean fuzzy preference relations with acceptable consistency is given, and an additive consistency adjustment algorithm is developed for Pythagorean fuzzy preference relations that do not satisfy acceptable additive consistency. Finally, a multiple attribute decision making method based on additive consistency Pythagorean fuzzy preference relations is proposed, and by comparison with other methods, the validity and rationality of the proposed method are verified.

Key words: Pythagorean fuzzy sets, preference relations, multiple attribute decision making