Graphs for the Analysis of Bipolar Fuzzy Information

This monograph discusses decision making methods under bipolar fuzzy graphical models with the aim of overcoming the lack of mathematical approach towards bipolar informationpositive and negative. It investigates the properties of bipolar fuzzy graphs, their distance functions, and concept of their isomorphism. It presents certain notions, including irregular bipolar fuzzy graphs, domination in bipolar fuzzy graphs, bipolar fuzzy circuits, energy in bipolar fuzzy graphs, bipolar single-valued neutrosophic competition graphs, and bipolar neutrosophic graph structures. This book also presents the applications of mentioned concepts to real-world problems in areas of product manufacturing, international relations, psychology, global terrorism and more, making it valuable for researchers, computer scientists, social scientists and alike.

Discusses decision making methods under bipolar fuzzy graphical models Presents the applications of these concepts to real-world problems in areas of product manufacturing, international relations, psychology, and political science Includes rigorous mathematical proofs with each concepts Appeals to researchers, computer scientists, social scientists and alike

Autorentext

Muhammad Akram has received his M.Sc. degree in Mathematics and Computer Science, M.Phil. in Mathematics, and Ph.D. in Fuzzy Mathematics. He is currently serving as a Professor at the Department of Mathematics of the University of the Punjab, in Lahore, Pakistan. Muhammad Akram's research topics cover numerical solutions of parabolic partial differential equations, fuzzy graphs, fuzzy algebras, and fuzzy decision support systems. He has published about 500 research articles in international peer-reviewed journals, and 10 monographs. He has been serving as an Editorial Board Member and as a reviewer of international academic journals. Arooj Adeel is an Assistant Professor at the Department of Mathematics of the University of Education, in Lahore, Pakistan. She completed her Ph.D. degree in Mathematics at the same University. Her research covers fuzzy sets and graphs, hybrid models, and decision-making techniques. She has published more than 20 articles in international peer-reviewed journals. She is also serving as an Editorial Board Member and as a reviewer of international academic journals.

Inhalt
Chapter 1: Bipolar Fuzzy Sets and Bipolar Fuzzy Graphs.- Chapter 2: Distance Measures in Bipolar Fuzzy Graphs.- Chapter 3: Special Types of Bipolar Fuzzy Graphs.- Chapter 4: Bipolar Fuzzy Competition Graphs.- Chapter 5: Bipolar Fuzzy Planar Graphs.- Chapter 6: Domination in Bipolar Fuzzy Graphs.- Chapter 7: Bipolar Fuzzy Circuits.- Chapter 8: Energy in Bipolar Fuzzy Graphs.- Chapter 9: Bipolar Neutrosophic Competition Graphs.- Chapter 10: Bipolar Neutrosophic Graph Structures.