Chellamani P, Ajay D, Broumi Said, Ligori T Antony Alphonse
Department of Mathematics, Sacred Heart College, Tirupattur, 635 601 Tamil Nadu India.
Laboratory of Information Processing, Faculty of Science Ben M'Sik, University Hassan II, Casablanca, Morocco.
Granul Comput. 2022;7(3):527-548. doi: 10.1007/s41066-021-00282-2. Epub 2021 Sep 13.
Fuzzy soft graphs are effective mathematical tools that are used to model the vagueness of the real world. A fuzzy soft graph is a fusion of the fuzzy soft set and the graph model and is widely used across different fields. In this current research, the concept of picture fuzzy soft graphs is presented by combining the theory of picture soft sets with graphs. The introduction of this new picture fuzzy soft graphs is an emerging concept that can be rather developed into various graph theoretical concepts. Since soft sets are most usable in real-life applications, the newly combined concepts of the picture and fuzzy soft sets will lead to many possible applications in the fuzzy set theoretical area by adding extra fuzziness in analyzing. The notions of picture soft graphs, strong and complete picture soft fuzzy graphs, a few types of product picture fuzzy soft graphs, and regular, totally regular picture fuzzy soft graphs are discussed and validated using real-world scenarios. In addition, an application of decision-making for medical diagnosis in the current COVID scenario using the picture fuzzy soft graph has been illustrated.
模糊软图是用于对现实世界的模糊性进行建模的有效数学工具。模糊软图是模糊软集与图模型的融合，在不同领域有着广泛应用。在当前这项研究中，通过将图像软集理论与图相结合，提出了图像模糊软图的概念。这种新的图像模糊软图的引入是一个新兴概念，它可以进一步发展为各种图论概念。由于软集在实际生活应用中非常有用，新组合的图像和模糊软集概念通过在分析中增加额外的模糊性，将在模糊集理论领域带来许多可能的应用。讨论了图像软图、强和完全图像软模糊图、几种乘积图像模糊软图以及正则、完全正则图像模糊软图的概念，并使用实际场景进行了验证。此外，还说明了在当前新冠疫情场景下使用图像模糊软图进行医疗诊断决策的应用。
