Ashraf Shahzaib, Abdullah Saleem, Chinram Ronnason
Department of Mathematics and Statistics, Bacha Khan University, Charsadda, 24420 Khyber Pakhtunkhwa, Pakistan.
Department of Mathematics, Abdul Wali Khan University, Mardan, 23200 Khyber Pakhtunkhwa, Pakistan.
J Ambient Intell Humaniz Comput. 2022;13(4):2091-2117. doi: 10.1007/s12652-021-03493-2. Epub 2021 Sep 25.
Dominant emergency action should be adopted in the case of an emergency situation. Emergency is interpreted as limited time and information, harmfulness and uncertainty, and decision-makers are often critically bound by uncertainty and risk. This framework implements an emergency decision-making approach to address the emergency situation of COVID-19 in a spherical fuzzy environment. As the spherical fuzzy set (SFS) is a generalized framework of fuzzy structure to handle more uncertainty and ambiguity in decision-making problems (DMPs). Keeping in view the features of the SFSs, the purpose of this paper is to present some robust generalized operating laws in accordance with the Einstein norms. In addition, list of propose aggregation operators using Einstein operational laws under spherical fuzzy environment are developed. Furthermore, we design the algorithm based on the proposed aggregation operators to tackle the uncertainty in emergency decision making problems. Finally, numerical case study of COVID-19 as an emergency decision making is presented to demonstrate the applicability and validity of the proposed technique. Besides, the comparison of the existing and the proposed technique is established to show the effectiveness and validity of the established technique.
在紧急情况下应采取主导性的应急行动。紧急情况被解释为时间和信息有限、具有危害性和不确定性,并且决策者常常受到不确定性和风险的严重制约。该框架实施一种应急决策方法,以在球形模糊环境中应对新冠肺炎疫情的紧急情况。由于球形模糊集(SFS)是一种模糊结构的广义框架,用于处理决策问题(DMPs)中更多的不确定性和模糊性。考虑到球形模糊集的特征,本文旨在根据爱因斯坦范数提出一些稳健的广义运算定律。此外,还开发了在球形模糊环境下使用爱因斯坦运算定律的拟议聚合算子列表。此外,我们基于所提出的聚合算子设计算法,以解决应急决策问题中的不确定性。最后,给出了新冠肺炎疫情作为应急决策的数值案例研究,以证明所提技术的适用性和有效性。此外,对现有技术和所提技术进行了比较,以表明所建技术的有效性和正确性。