Graph theory is a rapidly evolving and expanding mathematical discipline, with new discoveries, challenges, and techniques emerging every year. Graph Theory: Fundamentals and Applications provides a fully up-to-date and accessible introduction to graph theory, covering both the classical and the modern topics, as well as algorithms and evolving challenges addressed by discipline. Based on the latest syllabi and research trends worldwide, this book includes practical, solved problems that a...

Quantum Theory, Decision Making, and Social Dynamics is a detailed exploration of the connection between quantum theory, decision-making, and social networks. As quantum theory expands into various fields, there is an increasing demand for accessible resources that clarify its principles and uses. This book aims to address that need by explaining the complex relationship between quantum theory and social dynamics, especially in decision-making contexts. It discusses the challenges of under...

This book provides an extensive set of tools for applying fuzzy mathematics and graph theory to real-life problems. Balancing the basics and latest developments in fuzzy graph theory, this book starts with existing fundamental theories such as connectivity, isomorphism, products of fuzzy graphs, and different types of paths and arcs in fuzzy graphs to focus on advanced concepts such as planarity in fuzzy graphs, fuzzy competition graphs, fuzzy threshold graphs, fuzzy tolerance graphs, fuzz...

This book dives into the fascinating intersection of quantum theory and fuzzy systems. This work is inspired by quantum theory and its real-world applications. It bridges the gap between abstract theoretical concepts and practical implementations in quantum theory-based group decision-making and graph theory/social networks.Highlights:Core concepts: Begin with uncertainty in quantum theory and fuzzy systems and familiarise yourself wi...

This book is an in-depth study of the application of Linguistic Z numbers in various domains. It is divided into 18 chapters, each focusing on different aspects and applications of Linguistic Z numbers. The first chapter introduces the concept of a Linguistic Z number fuzzy probabilistic rough set and their corresponding three-way decisions. The second chapter discusses the TOPSIS-based multi-attribute group decision-making (MAGDM) under Linguistic Z number information. The third chapter p...