Group-based generalized q-rung orthopair average aggregation operators and their applications in multi-criteria decision making

Abstract

The objective of this manuscript is to investigate the concept of generalized q-rung orthopair fuzzy sets (Gq-ROFSs) and group generalized q-rung orthopair fuzzy sets (GGq-ROFSs) 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.