Induced aggregation operators are more suitable for aggregating the individual preference relations into a collective fuzzy preference relation. Therefore, in this paper, we introduce the notion of some new types induced aggregation operators, namely induced interval-valued Pythagorean fuzzy ordered weighted geometric aggregation operator, induced interval-valued Pythagorean fuzzy hybrid geometric aggregation operator, induced generalized interval-valued Pythagorean fuzzy ordered weighted geometric aggregation operator and induced generalized interval-valued Pythagorean fuzzy hybrid geometric aggregation operator. Furthermore, these operators are applied to decision-making problems in which experts provide their preferences in the Pythagorean fuzzy environment to show the validity, practicality and effectiveness of the new approach. We also study the applicability in a decision-making problem concerning strategic selection of the best information system and give an illustrative example to show the effectiveness of the developed methods and operators.

归纳聚合算子更适合于将个人偏好关系聚合为集体模糊偏好关系。因此，在本文中，我们介绍了一些新型诱导聚集算子的概念，即诱导区间值毕达哥拉斯模糊有序加权几何聚集算子，诱导区间值毕达哥拉斯模糊混合几何聚集算子，诱导广义区间值毕达哥拉斯模糊有序算子加权几何集合算子和广义广义区间值勾股模糊混合几何集合算子。此外，这些算子被应用于决策问题，其中专家在毕达哥拉斯的模糊环境中提供了他们的偏好，以表明新方法的有效性，实用性和有效性。