College of Land and Resources, Hebei Agricultural University, Baoding, China.
Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan.
PLoS One. 2024 Apr 4;19(4):e0300317. doi: 10.1371/journal.pone.0300317. eCollection 2024.
A learning management system (LMS) is a web-based application or software platform computed to facilitate the development, tracking, management, reporting, and delivery of education and training programs. Many valuable and dominant factors are working behind the Learning Management System (LMS), but no one can find which factor is most important and valuable for LMS during COVID-19 among the following five alternatives, called Improved Accessibility, Blended Learning, Collaboration and Communications, Assessment and Evaluation, and Administrative Efficiency. For this, first, we derive the techniques of bipolar complex hesitant fuzzy (BCHF) sets, and then we evaluate some flexible operational laws, called Algebraic operational laws and Aczel-Alsina operational laws. Secondly, using the above techniques, we elaborate the technique of BCHF Aczel-Alsina power averaging (BCHFAAPA), BCHF Aczel-Alsina power weighted averaging (BCHFAAPWA), BCHF Aczel-Alsina power geometric (BCHFAAPG), and BCHF Aczel-Alsina power weighted geometric (BCHFAAPWG) operators. Some basic properties are also investigated for each proposed operator. Further, to evaluate the problem concerning LMS, we compute the multi-attribute decision-making (MADM) techniques for invented operators. Finally, we select some prevailing operators and try to compare their ranking results with our proposed results to enhance the worth and capability of the invented theory.
学习管理系统(LMS)是一种基于网络的应用程序或软件平台,旨在促进教育和培训计划的开发、跟踪、管理、报告和交付。学习管理系统(LMS)背后有许多有价值和主导的因素,但在 COVID-19 期间,没有人能在以下五个替代方案中找到哪个因素对 LMS 最重要和最有价值,这五个替代方案分别是:改进的可访问性、混合学习、协作和沟通、评估和评估以及行政效率。为此,首先,我们推导出双极复杂犹豫模糊(BCHF)集的技术,然后评估一些灵活的运算定律,称为代数运算定律和 Aczel-Alsina 运算定律。其次,使用上述技术,我们详细阐述了 BCHF Aczel-Alsina 幂平均(BCHFAAPA)、BCHF Aczel-Alsina 幂加权平均(BCHFAAPWA)、BCHF Aczel-Alsina 幂几何(BCHFAAPG)和 BCHF Aczel-Alsina 幂加权几何(BCHFAAPWG)运算符的技术。还研究了每个提出的运算符的一些基本属性。此外,为了评估与 LMS 相关的问题,我们为发明的运算符计算多属性决策(MADM)技术。最后,我们选择了一些流行的运算符,并尝试将它们的排名结果与我们提出的结果进行比较,以提高发明理论的价值和能力。