Bipolar Linguistic q-Rung Orthopair Fuzzy Modeling for Sustainable Tourism Development and Decision-Making in Tourism Cities

In the dynamic landscape of tourism development, competitiveness hinges on the continuous progress of visitor destinations. This manuscript intricately navigates the dynamics of tourism, directing efforts toward the sustainable development and meticulous planning of tourism cities tailored to accommodate various forms of tourism. Within the inherent uncertainty of these dynamic scenarios, the theory of linguistic q-rung orthopair fuzzy sets emerges as a potent tool, surpassing conventional fuzzy set theories. This manuscript extends the utility of linguistic q-rung orthopair fuzzy sets by introducing the concept of bipolarity, giving rise to the innovative bipolar linguistic q-rung orthopair fuzzy model. The model seamlessly integrates bipolar linguistic q-rung orthopair fuzzy sets, providing a versatile extension of existing fuzzy set theories and enabling the effective handling of more generalized information. Precision in decision-making is heightened through the incorporation of negative linguistic-valued membership degrees, adeptly addressing preferences among parameters. Furthermore, the manuscript introduces aggregation operators, including bipolar linguistic q-rung orthopair fuzzy weighted averaging and geometric operators, delving into their properties and presenting impactful results. Validation of the proposed model is achieved through a rigorously tested multi-attribute decision-making algorithm applied to sustainable development and planning in tourism cities. A comprehensive comparative analysis with existing approaches meticulously showcases the advantages of the introduced model in effectively addressing challenges posed by the development of touristic cities. The results unequivocally affirm the superiority of the proposed bipolar linguistic q-rung orthopair fuzzy approach, endowing decision-makers with an enhanced capacity to navigate a diverse array of situations effectively. This scholarly contribution not only enhances tourism cities tailored to different forms of tourism but also catalyzes the sustainable development of tourism cities.