Expert evaluation matrix.

The effectiveness of the q-rung ortho-pair fuzzy multi-attribute decision-making method is primarily influenced by the q-rung ortho-pair fuzzy number ranking method. This paper conducts an in-depth analysis of the shortcomings of eight existing q-rung ortho-pair fuzzy number ranking methods. A refined approach to ranking q-rung ortho-pair fuzzy numbers is proposed, wherein the method synthesizes the effects of the q-power transformation applied to both membership and non-membership degrees, alongside an exponential adjustment component. This formulation ensures greater discrimination power and robustness in uncertain environments. This method addresses the issues of poor robustness and the inability to achieve a complete ranking in existing approaches. Finally, the proposed ranking approach is incorporated into a q-rung orthopair fuzzy multi-attribute decision-making framework and is subsequently employed to address a practical case involving the selection of an optimal warehouse location for an e-commerce enterprise.q阶正交对模糊多属性决策方法（q-rung ortho-pair fuzzy multi-attribute decision-making method）的有效性，主要受q阶正交对模糊数（q-rung ortho-pair fuzzy number）排序方法的影响。本文深入剖析了现有8种q阶正交对模糊数排序方法的不足，提出一种改进的q阶正交对模糊数排序方法：该方法综合考量隶属度与非隶属度的q次幂变换效应，并引入指数调整项。该方法的构建形式可在不确定环境下具备更强的区分度与鲁棒性，能够解决现有方法鲁棒性欠佳、无法实现完全排序的问题。最后，将所提排序方法融入q阶正交对模糊多属性决策框架，并将其应用于解决电子商务企业最优仓库选址的实际案例。