<p>In recent years, the three-way decision model has been widely used to address multi-criteria decision-making problems. However, existing models often overlook differences in the minimum requirements and risk aversion of decision-makers (DMs) across different criteria. Moreover, with the increasing complexity and uncertainty of decision problems, the accurate expression of evaluation values has become a critical challenge. Q-rung orthopair fuzzy sets (q-ROFSs), as an extension of intuitionistic fuzzy sets (IFSs) and Pythagorean fuzzy sets (PFSs), offer stronger expressiveness and broader application scenarios. With this in mind, this paper proposes a three-way decision model oriented to the twin fuzzy concepts of q-rung orthopair. Specifically, we first define the twin fuzzy concepts to represent the minimum requirements of DMs and risk aversion coefficients for different criteria, and propose a new method for calculating relative loss functions. Next, based on the TOPSIS semantics, the positive and negative ideal correlation coefficients are constructed. A requirement correlation coefficient, which takes into account the needs of DMs, is also proposed, from which a novel method for calculating the grey conditional probability is developed. Furthermore, we construct three distinct three-way decision models based on three decision perspectives. In addition, the rationality and effectiveness of the proposed model are demonstrated using a supplier selection case, and the practicality of the model is verified using six data sets. The experimental results show that the SRCC values between the ranking results of the proposed method and the comparison methods are mostly greater than 0.7, further demonstrating the effectiveness of the model.</p>