ABSTRACT In the multi-criteria decision-making (MCDM), multi-objective optimisation by ratio analysis (MOORA) plus the full multiplicative form (MULTIMOORA) are a useful method, which has the flexibility and robustness properties. The aim of this paper is to present a more robust method of MULTIMOORA to solve the MCDM evaluations with interval-valued Pythagorean fuzzy sets (IVPFSs). More specifically, considering the mutual support relationship among the input arguments, we firstly extend the power average (PA) and power geometric (PG) operators to accommodate the interval-valued Pythagorean fuzzy environment. For this, we propose four aggregation operators, including the interval-valued Pythagorean fuzzy power average (IVPFPA), the weighted interval-valued Pythagorean fuzzy power average (WIVPFPA), the interval-valued Pythagorean fuzzy power geometric (IVPFPG) and the weighted interval-valued Pythagorean fuzzy power geometric (WIVPFPG). With the aid of WIVPFPA and WIVPFPG, we further put forward a new robustness of the ranking method, i.e., the interval-valued Pythagorean fuzzy power average-based MULTIMOORA (IVPFPA-MULTIMOORA). Due to the availability and vast diversity among open-source electronic health record (EHR) systems, choosing an appropriate system is a challenge for many health-care institutions under the interval-valued Pythagorean fuzzy environment. Based on these above-mentioned research findings, we successfully utilise the IVPFPA-MULTIMOORA method to solve the selection problem of hospital open-source EHRs systems for MedLab in Ghana. Meanwhile, the effectiveness of the proposed method is verified by some comparative analyses.

中文翻译：

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基于区间值勾股模糊幂平均的多准则决策MULTIMOORA方法

摘要 在多标准决策（MCDM）中，比率分析的多目标优化（MOORA）加全乘法形式（MULTIMOORA）是一种有用的方法，它具有灵活性和鲁棒性。本文的目的是提出一种更稳健的 MULTIMOORA 方法，以解决具有区间值勾股模糊集 (IVPFS) 的 MCDM 评估。更具体地说，考虑到输入参数之间的相互支持关系，我们首先扩展了幂平均 (PA) 和幂几何 (PG) 算子以适应区间值勾股模糊环境。为此，我们提出了四种聚合算子，包括区间值勾股模糊幂平均（IVPFPA）、加权区间值勾股模糊幂平均（WIVPPFA）、区间值勾股模糊幂几何 (IVPFPG) 和加权区间值勾股模糊幂几何 (WIVPFPG)。借助 WIVPFPA 和 WIVPFPG，我们进一步提出了一种新的鲁棒性排序方法，即基于区间值勾股模糊幂平均的 MULTIMOORA (IVPFPA-MULTIMOORA)。由于开源电子健康记录 (EHR) 系统的可用性和巨大的多样性，在区间值勾股模糊环境下，选择合适的系统是许多医疗机构面临的挑战。基于上述这些研究成果，我们成功地利用 IVPFPA-MULTIMOORA 方法解决了加纳 MedLab 医院开源 EHR 系统的选择问题。同时，