In this article, we study some concepts related to q-rung orthopair fuzzy soft sets (q-ROFS sets), together with their algebraic structure. We present operations on q-ROFSSs and their specific properties and elaborate them with real-life examples and tabular representations to develop influx of linguistic variables based on q-rung orthopair fuzzy soft (q-ROFS) information. We present an application of q-ROFS sets to multi-criteria group decision-making (MCGDM) process related to the university choice, accompanied by algorithm and flowchart. We develop q-ROFS TOPSIS method and q-ROFS VIKOR method as extensions of TOPSIS (a technique for ordering preference through the ideal solution) and VIKOR (Vlse Kriterijumska Optimizacija Kompromisno Resenje), respectively. Finally, we tackle a problem of construction business utilizing q-ROFS TOPSIS and q-ROFS VIKOR methods.

中文翻译：

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q阶正交对软模糊拓扑下具有q阶正交对软模糊集和TOPSIS方法的新型MCGDM

在本文中，我们研究与q-阶邻对模糊软集（q-ROFS集）有关的一些概念，以及它们的代数结构。我们介绍有关q-ROFSS的操作及其特定属性，并通过实际示例和表格表示对其进行详细说明，以基于q-阶邻对模糊软（q-ROFS）信息来开发语言变量的涌入。我们提出q-ROFS集在与大学选择相关的多准则组决策（MCGDM）过程中的应用，并附带算法和流程图。我们分别开发了q-ROFS TOPSIS方法和q-ROFS VIKOR方法，分别是TOPSIS（一种通过理想解决方案订购偏好的技术）和VIKOR（Vlse Kriterijumska Optimizacija Kompromisno Resenje）的扩展。最后，