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在球形模糊Z数框架下通过中立性聚合算子构建膝关节骨关节炎移植模型

Constructing a knee osteoarthritis transplant via the neutrality aggregation operators under spherical fuzzy Z-numbers framework.

作者信息

Ashraf Shahzaib, Akram Maria, Jana Subrata, Kim Jungeun, Hezam Ibrahim M, Jana Chiranjibe

机构信息

Institute of Mathematics, Khawaja Fareed University of Engineering and Information Technology, Rahim Yar Khan 64200, Pakistan.

Department of Mathematics, Jadavpur University, Kolkata, West Bengal, India.

出版信息

Heliyon. 2024 Dec 19;11(1):e41288. doi: 10.1016/j.heliyon.2024.e41288. eCollection 2025 Jan 15.

Abstract

Understanding the biomechanics of osteoarthritis is necessary for designing a biomedical knee implant to reduce pain, increase mobility, and enhance the patient's quality of life. The most appropriate implant design may be chosen by using Multi-Attribute Group Decision-Making (MAGDM) techniques, which include a number of variables including material characteristics, biomechanical performance, cost-effectiveness, and patient-specific requirements. Compared to conventional fuzzy set structures, Spherical Fuzzy -Number Sets ( S) provide an enhanced method for resolving uncertainty in MAGDM and are more suited for handling complicated decision-making situations. In order to get crucial weight information, this work uses spherical fuzzy entropy measures ( ) to suggest a unique distance metric specifically designed for spherical fuzzy -numbers. Furthermore, to solve issues in MAGDM, especially when the preferences and criterion weights of decision-makers are uncertain, we offer Aggregation Operators based on Neutrality Aggregation ( ) T-norm and T-Conorm. We first investigate the notion, their accuracy and scoring functions, and the fundamental ideas that underlie their work. Next, we create a method for generating decisions for MAGDM situations by using information. Our suggested operators provide a flexible and resilient structure for collecting information by integrating operations into the framework. This makes them particularly useful for developing knee implants for osteoarthritis. This work advances the field of MAGDM for biomedical engineering both theoretically and practically. We provide comparison findings to confirm our technique and show its efficacy and field usefulness.

摘要

了解骨关节炎的生物力学对于设计生物医学膝关节植入物以减轻疼痛、增加活动能力并提高患者生活质量至关重要。可以通过使用多属性群体决策(MAGDM)技术来选择最合适的植入物设计,这些技术包括许多变量,如材料特性、生物力学性能、成本效益和患者特定要求。与传统模糊集结构相比,球面模糊数集(S)为解决MAGDM中的不确定性提供了一种增强方法,更适合处理复杂的决策情况。为了获得关键权重信息,这项工作使用球面模糊熵测度()来提出一种专门为球面模糊数设计的独特距离度量。此外,为了解决MAGDM中的问题,特别是当决策者的偏好和准则权重不确定时,我们提供基于中立聚合()T范数和T余范数的聚合算子。我们首先研究概念、它们的准确性和评分函数,以及它们工作背后的基本思想。接下来,我们创建一种利用信息为MAGDM情况生成决策的方法。我们提出的算子通过将操作集成到框架中,为收集信息提供了一种灵活且有弹性的结构。这使得它们对于开发骨关节炎膝关节植入物特别有用。这项工作在理论和实践上推动了生物医学工程中MAGDM领域的发展。我们提供比较结果以证实我们的技术,并展示其有效性和实际应用价值。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/e6cb/11742860/260863e1dca3/gr001.jpg

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