Utilizing lexicographic max product of picture fuzzy graph in human trafficking

• Published in: Ain Shams Engineering Journal Vol. 15; no. 11; p. 103009
• Main Authors: Liu, Peide, Asim, Mudasser Hussain, Ali, Sikander, Azeem, Muhammad, Almohsen, Bandar
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.11.2024; Elsevier
• Subjects: Borders of countries; Human trafficking; Lexicographic-max product; Picture fuzzy graph; Picture fuzzy set; Human trafficking; Picture fuzzy set; Lexicographic-max product; Borders of countries; Picture fuzzy graph
• ISSN: 2090-4479; 2090-4495; 2090-4495
• DOI: 10.1016/j.asej.2024.103009

Graph structures are an essential tool for solving combinatorial problems in computer science and computational intelligence. With an emphasis on signed graphs, picture-fuzzy graphs, and graphs with colored or labeled edges, this study explores the properties of picture-fuzzy graph topologies. Within these frameworks, it presents key ideas such as the lexicographic-max product, vertex degree, and total degree. The use of picture-fuzzy graphs' lexicographic-max product to tackle intricate problems like human trafficking is a key component of this study. The study illustrates how this strategy can improve decision-making processes in such crucial areas by utilizing the special qualities of picture-fuzzy graphs. The study is supported by informative numerical examples that show how useful these ideas are in real-world situations. In addition, the study offers a thorough algorithmic foundation for applying the lexicographic-max product in practical situations, especially those involving human trafficking. The goal of this framework is to provide a workable approach for applying picture-fuzzy graph structures to enhance decision-making and tackle important societal issues.