Multicriteria group decision-making using Archimedean t-norm and t-conorm-based linguistic q-rung orthopair fuzzy generalized operators

Strategic planning is a crucial activity for the owners and managers of business organisations, and it is an effective process that incorporates many distinct decision-making circumstances. Although there are numerous researches done to aid decision-makers, there are only a few studies that may provide the desirable generality, flexibility, and compatibility in adapting risk preferences. This study intends to propose a generalized multicriteria group decision-making (MCGDM) methodology by means of generalized parameter and Archimedean t-norms and t-conorms under linguistic \(q\)-rung orthopair fuzzy (Lq-ROF) theory for managing uncertainties in strategy formulations. For this purpose, a wide range of generalized aggregation operators, viz., Lq-ROF Archimedean weighted averaging, Lq-ROF Archimedean weighted geometric, Lq-ROF Archimedean generalized weighted averaging, and Lq-ROF Archimedean generalized weighted geometric operators are investigated. The contribution of this research lies in providing a robust and flexible methodology that integrates generalized parameters and Archimedean operators within the Lq-ROF framework, thereby offering a valuable tool for decision-makers navigating the complexities of strategy formulation in the presence of uncertainties. Additionally, some novel operational laws based on Archimedean t-norms and t-conorms are defined for Lq-ROF numbers. Further, several prominent characteristics of the developed operators are investigated. A strategic MCGDM model with Lq-ROF context is put forward and is applied to a financial strategy-making problem for a multinational organisation. The sensitivity analysis undertaken shows that the developed method possesses favourable flexibility and effectiveness. The potentiality and superiority are explored by comparing the obtained results with several existing studies.