Fuzzy Graph Theory: Applications to Global Problems

This book examines the intersection of climate change, human trafficking, and other global challenges, using fuzzy graph theory to study human trafficking and immigration. It also explores the relationship between terrorism and climate change, and ethical issues related to business organizations' carbon emissions. Nonstandard analysis is presented as a potential new area for scholars of mathematics of uncertainty.

Format: Hardback
Length: 254 pages
Publication date: 03 March 2023
Publisher: Springer International Publishing AG

This book delves into the intricate connections between climate change, human trafficking, and a range of other pressing global challenges, highlighting how climate change exacerbates their severity. Climate change not only increases the likelihood and impact of natural disasters, leading to poverty, conflict, and instability, but it also provides fertile ground for traffickers to exploit vulnerable individuals. The book employs the framework of fuzzy graph theory to explore these issues. In the section on fuzzy soft semigraphs and graph structures, the authors introduce novel concepts to study human trafficking, particularly focusing on time intuitionistic fuzzy sets to model forest fires. The notion of legal and illegal incidence strength is employed to analyze immigration to the United States, while the examination of return refugees to their origin countries sheds light on the complexities of displacement. The neighborhood connectivity index is calculated to assess the extent of trafficking in different regions worldwide, and the cycle connectivity measure for the directed graph of the flow from South America to the United States is computed. The findings indicate a need for improved government responses by countries to address these challenges effectively.

Beyond the realm of fuzzy graph theory, the book introduces a fresh approach to examining climate change. Social network theory is utilized to study feedback processes that influence climate forcing, delving into the concept of tipping points in climate change. The relationship between terrorism and climate change is explored, raising important ethical considerations regarding the obligations of business organizations to reduce carbon emissions.

Nonstandard analysis emerges as a potential new area of study for scholars of mathematics of uncertainty. The book provides a foundation for understanding nonstandard analysis, presenting key concepts from first-order logic to facilitate this exploration. By delving into these interconnected topics, the book aims to shed light on the complex dynamics and challenges posed by climate change, human trafficking, and other global issues, and to offer insights into potential solutions and strategies for addressing them.

Weight: 576g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031231070
Edition number: 1st ed. 2023