The objective of this manuscript is to investigate the concept of generalized q-rung orthopair fuzzy sets (Gq-\(\mathcal {R}\)O\(\mathcal {F}\)Ss) and group generalized q-rung orthopair fuzzy sets (GGq-\(\mathcal {R}\)O\( \mathcal {F}\)Ss) by incorporating the concept of generalized parameter and group generalized parameters in q-rung orthopair fuzzy environment. The main advantage of generalized parameter in q-rung orthopair fuzzy environment is to reduce uncertain errors in the original information to ensure the expert’s level of trust and improve the accuracy of final decision. On the base of generalized parameter, some aggregation operators are introduced such as generalized q-rung orthopair fuzzy average aggregation operators and group generalized q-rung orthopair fuzzy average aggregation operators and studied their related properties. Furthermore, a multi-criteria decision-making method technique based on proposed approach is presented. Finally, a numerical example is provided to illustrate the feasibility of the proposed methods and deliver the sensitivity analysis and comparative analysis, which show the superiority of developed approached than existing methods.

该手稿的目的是研究广义q阶正交对模糊集（Gq- \（\ mathcal {R} \） O \（\ mathcal {F} \） Ss）和群广义q阶正交对模糊集的概念设置（GGq- \（\ mathcal {R} \） O \（\ mathcal {F} \）s））通过将广义参数和群广义参数的概念结合在q-阶邻位对模糊环境中。q阶正交对对模糊环境中广义参数的主要优点是减少原始信息中的不确定错误，以确保专家的信任度并提高最终决策的准确性。在广义参数的基础上，引入了一些聚合算子，例如广义q-阶邻对模糊平均聚合算子和群广义q-阶对对模糊平均聚合算子，并研究了它们的相关性质。此外，提出了一种基于所提出方法的多准则决策方法技术。最后，