Information Engineering College, Hebei University of Architecture, Zhangjiakou 075000, China.
Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, Pakistan.
Comput Intell Neurosci. 2022 Jul 8;2022:7389882. doi: 10.1155/2022/7389882. eCollection 2022.
In modern times, the organizational managements greatly depend on decision-making (DM). DM is considered the management's fundamental function that helps the businesses and organizations to accomplish their targets. Several techniques and processes are proposed for the efficient DM. Sometimes, the situations are unclear and several factors make the process of DM uncertain. Fuzzy set theory has numerous tools to tackle such tentative and uncertain events. The complex picture fuzzy set (CPFS) is a super powerful fuzzy-based structure to cope with the various types of uncertainties. In this article, an innovative DM algorithm is designed which runs for several types of fuzzy information. In addition, a number of new notions are defined which act as the building blocks for the proposed algorithm, such as information energy of a CPFS, correlation between CPFSs, correlation coefficient of CPFSs, matrix of correlation coefficients, and composition of these matrices. Furthermore, some useful results and properties of the novel definitions have been presented. As an illustration, the proposed algorithm is applied to a clustering problem where a company intends to classify its products on the basis of features. Moreover, some experiments are performed for the purpose of comparison. Finally, a comprehensive analysis of the experimental results has been carried out, and the proposed technique is validated.
在现代，组织管理在很大程度上依赖于决策（DM）。DM 被认为是管理的基本职能，有助于企业和组织实现其目标。已经提出了几种技术和流程来实现有效的 DM。有时，情况并不清楚，有几个因素使得 DM 过程不确定。模糊集理论有许多工具来处理这种不确定的和不确定的事件。复杂图片模糊集（CPFS）是一种超级强大的基于模糊的结构，可以处理各种类型的不确定性。在本文中，设计了一种创新的 DM 算法，该算法可以处理多种类型的模糊信息。此外，还定义了一些新概念，作为所提出的算法的构建块，例如 CPFS 的信息能量、CPFS 之间的相关性、CPFS 的相关系数、相关系数矩阵以及这些矩阵的组合。此外，还提出了一些新定义的有用结果和性质。作为一个说明，将所提出的算法应用于聚类问题，其中公司希望根据特征对其产品进行分类。此外，还进行了一些实验以进行比较。最后，对实验结果进行了全面的分析，并验证了所提出的技术。
