Fuzzy Mathematics, Graphs, and Similarity Measures provides a solid foundation in core analytical tracks of mathematics of uncertainty, from fuzzy mathematics to graphs and similarity measures with applications in a range of timely cases studies and world challenges. Following a full grounding in fuzzy graph indices, connectivity in fuzzy graph structures, lattice isomorphisms, and similarity measures, the book applies these models in analyzing world challenges, from human trafficking to modern slavery, global poverty, global hunger, homelessness, biodiversity, extinction, terrorism and bioterrorism, pandemics, and climate change.
Connections and constructive steps forward are tied throughout to UN Sustainable Development Goals (SDGs). The authors demonstrate and instruct readers in applying techniques from mathematics of uncertainty in examining issues where accurate data is impossible to obtain. In addition to a diverse range of cases studies, exercises reinforce key concepts in each chapter, and an online instructor’s manual supports teaching across a range of course contexts.
1. Fuzzy Mathematics, Graphs, and Similarity Measures - p. Page i 2. Cover - p. Page i 3. Front Matter - p. Page i 4. Table of Contents - p. Page iii 5. Copyright - p. Page iii 6. Dedication - p. Page iv 7. Contents - p. Page vi 8. About the authors - p. Page vi 9. Preface - p. Page vii 10. Acknowledgments - p. Page ix 11. List of Illustrations - p. Page xi 12. List of Tables - p. Page xii 13. Chapter 1 : Preliminaries⍟ - p. Page xii 14. Chapter 2 : Lattice isomorphisms, trafficking, and global challenges⍟ - p. Page 14 15. Chapter 3 : Global cybersecurity⍟ - p. Page 23 16. Chapter 4 : Terrorism and bioterrorism⍟ - p. Page 36 17. Chapter 5 : Fuzzy implication operators: health security and political risk⍟ - p. Page 58 18. Chapter 6 : Fuzzy implication operators applied to country health⍟ - p. Page 68 19. Chapter 7 : Mistreatment of women and children⍟ - p. Page 84 20. Chapter 8 : Space debris and sustainability⍟ - p. Page 95 21. Chapter 9 : Telecommunications⍟ - p. Page 106 22. Chapter 10 : Eccentric connectivity⍟ - p. Page 116 23. Chapter 11 : Neighborhood connectivity index⍟ - p. Page 139 24. Chapter 12 : Sigma index⍟ - p. Page 159 25. Chapter 13 : Banhatti indices⍟ - p. Page 182 26. Chapter 14 : Generalized cycle connectivity of fuzzy graphs⍟ - p. Page 219 27. Chapter 15 : Fuzzy vertex and edge connectivity⍟ - p. Page 245 28. Bibliography - p. Page 266 29. Index - p. Page 266
Fuzzy Mathematics, Graphs, and Similarity Measures provides a solid foundation in core analytical tracks of mathematics of uncertainty, from fuzzy mathematics to graphs and similarity measures with applications in a range of timely cases studies and world challenges. Following a full grounding in fuzzy graph indices, connectivity in fuzzy graph structures, lattice isomorphisms, and similarity measures, the book applies these models in analyzing world challenges, from human trafficking to modern slavery, global poverty, global hunger, homelessness, biodiversity, extinction, terrorism and bioterrorism, pandemics, and climate change.
Connections and constructive steps forward are tied throughout to UN Sustainable Development Goals (SDGs). The authors demonstrate and instruct readers in applying techniques from mathematics of uncertainty in examining issues where accurate data is impossible to obtain. In addition to a diverse range of cases studies, exercises reinforce key concepts in each chapter, and an online instructor’s manual supports teaching across a range of course contexts.
1. Fuzzy Mathematics, Graphs, and Similarity Measures - p. Page i 2. Cover - p. Page i 3. Front Matter - p. Page i 4. Table of Contents - p. Page iii 5. Copyright - p. Page iii 6. Dedication - p. Page iv 7. Contents - p. Page vi 8. About the authors - p. Page vi 9. Preface - p. Page vii 10. Acknowledgments - p. Page ix 11. List of Illustrations - p. Page xi 12. List of Tables - p. Page xii 13. Chapter 1 : Preliminaries⍟ - p. Page xii 14. Chapter 2 : Lattice isomorphisms, trafficking, and global challenges⍟ - p. Page 14 15. Chapter 3 : Global cybersecurity⍟ - p. Page 23 16. Chapter 4 : Terrorism and bioterrorism⍟ - p. Page 36 17. Chapter 5 : Fuzzy implication operators: health security and political risk⍟ - p. Page 58 18. Chapter 6 : Fuzzy implication operators applied to country health⍟ - p. Page 68 19. Chapter 7 : Mistreatment of women and children⍟ - p. Page 84 20. Chapter 8 : Space debris and sustainability⍟ - p. Page 95 21. Chapter 9 : Telecommunications⍟ - p. Page 106 22. Chapter 10 : Eccentric connectivity⍟ - p. Page 116 23. Chapter 11 : Neighborhood connectivity index⍟ - p. Page 139 24. Chapter 12 : Sigma index⍟ - p. Page 159 25. Chapter 13 : Banhatti indices⍟ - p. Page 182 26. Chapter 14 : Generalized cycle connectivity of fuzzy graphs⍟ - p. Page 219 27. Chapter 15 : Fuzzy vertex and edge connectivity⍟ - p. Page 245 28. Bibliography - p. Page 266 29. Index - p. Page 266
