Sovan Samanta - Böcker

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 are user friendly to undergraduate, postgraduate, and PhD students, and acts as a key aid in learning the fundamentals and the frontiers of graph theory, as well as developing independent problem-solving and critical thinking skills. This book includes clear instruction in graph representation, basic graph operations, graph connectivity, trees and forests, matching theory, planar graphs and graph drawing, algebraic graph theory, graph traversals, network flows, topological graph theory, and cryptography, among other topics. Each chapter features key term definitions, proofs and algorithms, summary points, and unique exercises to reinforce learning, as well as open problems and research challenges that present unsolved or conjectural problems in graph theory for discussion. Supporting student and instructor sites offer additional exercises, solutions, examples, and case studies in graph theory applications.Offers practical instruction in graph theory applications, graph coloring, network flows, graph invariants, graph cryptography, graph machine learning, graph minors, and random graph theory, among other topicsExercises and open research questions encourage independent problem-solving and critical thinking skillsFeatures key term definitions, proofs and algorithms, summary points, exercises and solutions, and open problems for discussion across each chapterIncludes additional exercises, solutions, examples, and case studies in graph theory applications on supporting student and instructor sites

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 understanding and applying quantum theory in social settings and provides readers with the knowledge to leverage its potential in decision-making processes. The book is divided into eleven chapters, each focusing on a specific aspect of quantum theory and its applications. Chapter 1 introduces quantum theory, fuzzy logic, and social network analysis, highlighting key concepts like superposition, entanglement, and fuzzy influence within networks. Chapter 2 examines fuzzy sets, membership functions, and inference systems, with applications in devices, traffic management, and healthcare. Chapter 3 covers the mathematical framework of quantum mechanics and its philosophical paradoxes, connecting them to fuzzy logic models of uncertainty. Chapter 4 links social networks to quantum graphs, defining their topology, centrality, and entangled edges. Chapter 5 models social identity as a fuzzy quantum superposition, exploring identity collapse and coherence within networks. Chapter 6 relates quantum entanglement to social ties, proposing fuzzy-quantum graph models for interconnected systems. Chapter 7 analyses measures of irregularity in quantum graphs and applies these to financial networks. Chapter 8 integrates quantum cognition with fuzzy MCDM, employing various probability evaluation methods. Chapter 9 features case studies of fuzzy systems and their integration with quantum fuzzy graphs. Chapter 10 develops a quantum graph-based link prediction model for dynamic social networks. Chapter 11 concludes with a summary of the quantum-fuzzy framework, discussing its contributions, limitations, and future directions.Integrated Framework - Combines quantum theory, fuzzy logic, and social network analysis for modeling uncertainty and complexity.Novel Models - Presents quantum graphs, fuzzy-quantum identity, and entanglement-based social network representations.Real-World Applications - Includes practical case studies in decision-making, network analysis, and predictive modeling.

The third chapter presents a new approach of multi-criteria group decision-making (MCGDM): MARCOS-based alternatives measurement with ranking under Linguistic Z number information and their application in the selection of logistics distribution cold chain center.

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 presents a new approach of multi-criteria group decision-making (MCGDM): MARCOS-based alternatives measurement with ranking under Linguistic Z number information and their application in the selection of logistics distribution cold chain center. The fourth chapter focuses on the Linguistic Z number environment-based site selection of medical logistic centers with the TODIM-VIKOR approach. The fifth chapter explores MCGDM based on TODIM-PROMETHEE II under Linguistic Z number environment and their application in site selection of emergency shelters. The sixth chapter introduces a novel approach of extended ORESTE-based Linguistic Z number MAGDM and their applications in the ability of regional energy assessment. The seventh chapter discusses MCGDM based on MULTIMOORA with Linguistic Z number and their application in software selection. The eighth chapter presents multi-criteria group decision-making using the LogTODIM-TOPSIS approach in a Linguistic Z number environment for selecting auto parts materials in the technology of automobiles. The ninth chapter introduces a Linguistic Z number CoCoSo approach for multi-criteria group decision-making and application to the diagnosis of sepsis. The tenth chapter discusses The ExpTODIM-VIKOR approach under a Linguistic Z number environment and its applications to solve multi-criteria group decision-making problems. This book provides a deep understanding of Linguistic Z numbers and their applications in decision-making, granular computing, and social networks. It is a valuable resource for researchers and practitioners in these fields.

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 with the basics of quantum graphs.Real-World Applications: Explore methods for multi-attribute group decision-making, choosing green building materials, and evaluating wearable health devices, renewable energy options, and cell phones using quantum decision methods.Advanced Exploration: Investigate dynamic centrality measures for brain networks, routing protocols, centrality metrics, link prediction, and applications of quantum graphs.Comprehensive topics: Learn about green supplier selection, investment decisions under uncertainty, sustainable solar energy management, and more.Innovative approaches: Examine topological indices, dominance theory, applications of quantum computing, social fuzzy and quantum networks, scenarios of co-concurrence, and optimization techniques in quantum graphs.This comprehensive guide is an indispensable resource for students, researchers, and professionals who want to explore the applications of quantum theory in network science, quantum computing, and decision-making. Whether readers are experts or novices, this book provides knowledge and practical insights to navigate the complexity of uncertainty in our networked world.

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, fuzzy trees, coloring in fuzzy graphs, bipolar fuzzy graphs, intuitionistic fuzzy graphs, m-polar fuzzy graphs, applications of fuzzy graphs, and more. Each chapter includes a number of key representative applications of the discussed concept. An authoritative, self-contained, and inspiring read on the theory and modern applications of fuzzy graphs, this book is of value to advanced undergraduate and graduate students of mathematics, engineering, and computer science, as well as researchers interestedin new developments in fuzzy logic and applied mathematics.