Ansari Masfa Nasrullah, Razaq Abdul, Baidar Abdul Wakil, Alghazzawi Dilshad, Alhamzi Ghaliah
Department of Mathematics, Government College University, Faisalabad, 38000, Pakistan.
Division of Science and Technology, Department of Mathematics, University of Education, Lahore, 54770, Pakistan.
Sci Rep. 2025 Jul 7;15(1):24309. doi: 10.1038/s41598-025-07500-w.
The selection of the most efficient actuator for biohybrid robots necessitates the implementation of precise and reliable decision-making (DM) methods. Dynamic aggregation operators (AOs) provide flexibility and consistency in DM by embracing time-dependent changes in data. The complex spherical fuzzy sets (CSFSs) adequately resolve multifaceted issue formulations characterized by spherical uncertainty and periodicity. This paper introduces two innovative AOs, namely, the complex spherical fuzzy dynamic Yager weighted averaging (CSFDYWA) operator and the complex spherical fuzzy dynamic Yager weighted geometric (CSFDYWG) operator. Notable characteristics of these operators are defined, and an enhanced score function is devised to rectify the deficiencies identified in the current score function in the CSF framework. In addition, the proposed operators are implemented to develop a methodical strategy for the multiple criteria decision-making (MCDM) situations to address the difficulties posed by inconsistent data during the selection procedure. These methodologies are also adeptly employed to address the MCDM problem, aiming to identify the most suitable actuator designed for precisely modelling human movement for biohybrid robots in CSF environment. Moreover, a comparative study is conducted to highlight the efficacy and legitimacy of the proposed methodologies in relation to the existing procedures.
为生物混合机器人选择最高效的执行器需要实施精确且可靠的决策(DM)方法。动态聚合算子(AO)通过考虑数据中随时间变化的情况,在决策中提供灵活性和一致性。复杂球形模糊集(CSFS)能够充分解决具有球形不确定性和周期性的多方面问题表述。本文介绍了两种创新的AO,即复杂球形模糊动态Yager加权平均(CSFDYWA)算子和复杂球形模糊动态Yager加权几何(CSFDYWG)算子。定义了这些算子的显著特征,并设计了一种改进的得分函数来纠正CSF框架中当前得分函数所存在的缺陷。此外,所提出的算子被用于制定一种针对多准则决策(MCDM)情况的系统策略,以解决选择过程中数据不一致所带来的困难。这些方法还被巧妙地用于解决MCDM问题,旨在识别最适合在CSF环境中为生物混合机器人精确模拟人类运动而设计的执行器。此外,还进行了一项比较研究,以突出所提出方法相对于现有程序的有效性和合理性。