In 2023, Alkhazaleh [1] introduced the concept of the Effective Fuzzy Soft Expert Set (EFSES) as a new mathematical tool to address uncertain problems in decision-making and medical diagnosis. The virtue of this concept is its adaptability to deal with uncertain problems involving external effects. However, some uncertain decision-making problems, especially those with external effects, must be judged by several experts. To this end, this paper extends the concept of EFSES to the concept of an Effective Q-Fuzzy Soft Expert Set (EQFSES). The concept of QFSES is further extended to include the operations of union, intersection AND, and OR using De Morgan's Law. Definitions and propositions on these operations are introduced. The results indicate that the proposed EQFSES framework provides a more comprehensive and flexible representation of uncertainty by effectively integrating multiple expert opinions with external effects, thereby enhancing the robustness of complex decision-making models. Future studies may extend the EQFSES framework to neutrosophic or hybrid environments and investigate its applicability in real-world multi-criteria decision-making problems to further validate its practical effectiveness.