Molodtsov investigated the pioneer notion of soft set (SfS) which provides a general framework for mathematical problems by affix parameterization tools during the analysis as compared to fuzzy set and q‐rung orthopair fuzzy set (q‐ROFS). The aim of this manuscript is to investigate the notion of q‐rung orthopair fuzzy soft set (q‐ROFSfS), which provide a lay of foundation for those difficulties and complexities which the contemporary theories face during the study of uncertainty. Therefore, our main contribution in this manuscript is to investigate the q‐rung orthopair fuzzy soft weighted averaging, q‐rung orthopair fuzzy soft ordered weighted averaging and q‐rung orthopair fuzzy soft hybrid averaging operators in q‐ROF soft (q‐ROFSf) environment. Further, the fundamental properties of these aggregation operators are studied. On the base of developed approach an algorithm for multicriteria decision making method is being presented. An application of medical diagnosis problems is solved on the proposed algorithm under the q‐ROFSf environment. Finally, comparison between the developed operators with some existing operators are being presented showing the superiority and efficiency of the developed approach than the existing literature.

中文翻译：

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q-Rung orthopair 模糊软平均聚合算子及其在多准则决策中的应用

Molodtsov 研究了软集（SfS）的先驱概念，与模糊集和 q-rung orthopair 模糊集（q-ROFS）相比，它在分析过程中通过附加参数化工具为数学问题提供了一般框架。本手稿的目的是研究 q-rung orthopair 模糊软集 (q-ROFSfS) 的概念，为当代理论在不确定性研究中面临的困难和复杂性奠定基础。因此，我们在本手稿中的主要贡献是研究 q-ROF soft (q-ROFSf) 中的 q-rung orthopair 模糊软加权平均、q-rung orthopair 模糊软有序加权平均和 q-rung orthopair 模糊软混合平均算子环境。此外，还研究了这些聚合运算符的基本属性。在开发的方法的基础上，提出了一种多准则决策方法的算法。提出的算法在 q-ROFSf 环境下解决了医学诊断问题的应用。最后，将开发的算子与一些现有的算子进行比较，展示了所开发的方法比现有文献的优越性和效率。