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

摘要：

考虑Pythagorean模糊偏好关系的多属性决策问题，提出了加性Pythagorean模糊偏好关系的多属性决策方法。基于加性一致性Pythagorean模糊偏好关系提出一种新的Pythagorean模糊权重确定模型。给出了可接受加性一致性Pythagorean模糊偏好关系的定义，并针对不满足可接受加性一致性的Pythagorean模糊偏好关系，提出一种加性一致性调整算法。给出基于Pythagorean模糊偏好关系加性一致性的多属性决策方法，并通过实例分析提出的新方法的可行性和合理性。

关键词: Pythagorean模糊集, 偏好关系, 多属性决策