عنوان

Advanced topics in fuzzy graph theory /

3030042154

3030042162

9783030042158

9783030042165

3030042146

9783030042141

Advanced topics in fuzzy graph theory /

[Book]

John N. Mordeson, Sunil Mathew.

Cham, Switzerland :

Springer,

[2019]

1 online resource

Studies in fuzziness and soft computing ;

volume 375

Intro; Foreword; Preface; Contents; About the Authors; 1 Preliminaries; 1.1 Fuzzy Sets and Relations; 1.2 Fuzzy Graphs; 2 Connectivity in Fuzzy Graphs; 2.1 Vertex Connectivity of Fuzzy Graphs; 2.2 Fuzzy Vertex Connectivity of Complement of a Fuzzy Graph; 2.3 Average Fuzzy Vertex Connectivity; 2.4 Uniformly t-Connected Fuzzy Graphs; 2.5 Application to Human Trafficking; 2.6 Critical Blocks; 2.7 Local Cyclic Cutvertices and Bridges; 2.8 Critical Blocks and Cycle Connectivity; 2.9 t-Level Components of Fuzzy Graphs; 3 Connectivity and Wiener Indices of Fuzzy Graphs; 3.1 Connectivity Index

3.2 Bounds for Connectivity Index3.3 Connectivity Index of Edge Deleted and Vertex Deleted Fuzzy Graphs; 3.4 Average Connectivity Index of a Fuzzy Graph; 3.5 Connectivity Index of Fuzzy Cycles; 3.6 Algorithms; 3.7 Wiener Index of Fuzzy Graphs; 3.8 Relationship Between WI and CI of a Fuzzy Graph; 3.9 Wiener Indices of Fuzzy Trees and Fuzzy Cycles; 3.10 Applications; 3.10.1 Human Trafficking; 3.10.2 Internet Routing; 3.10.3 Illegal Immigration; 4 Distances and Convexity in Fuzzy Graphs; 4.1 Fuzzy Geodetic Convex Sets; 4.2 Fuzzy Geodetic Blocks and Their Characterization

4.3 Fuzzy Geodetic Boundary Vertices and Interior Vertices4.4 Monophonic Convexity in Fuzzy Graphs; 4.5 Fuzzy Monophonic Blocks and Their Characterization; 4.6 Fuzzy Monophonic Boundary and Interior Vertices; 4.7 g-Distance in Fuzzy Graphs; 4.8 Sum Distance in Fuzzy Graphs; 4.9 Boundary and Interior in Sum Distance; 4.10 Strong Sum Distance; 4.11 Energy of a Fuzzy Graph; 5 Aggregation Operators and t-Norm Fuzzy Graphs; 5.1 Preliminaries; 5.2 t-Norm Fuzzy Graphs; 5.3 Application; 5.4 Generalized Fuzzy Relations; 5.5 Fuzzy Equivalence Relations

5.6 Application: Illegal Immigration to the United States Through Mexico5.7 Operations of t-Norm Fuzzy Graphs; 5.8 Quasi-fuzzy Graphs; 5.9 Aggregation Operators; 5.10 oplus-ast Composition; 5.11 ast-otimes Composition; 5.12 Norm and Median Functions; 5.13 Applications; 5.13.1 Trafficking in Persons; 5.13.2 Linguistic Description; 5.13.3 Slavery; 5.14 Appendix; 5.14.1 Vulnerability; 5.14.2 Government Responses; 6 Dialectic Synthesis; 6.1 Complementary Dialectic Synthesis; 6.2 Complementary Fuzzy Dialectic Synthesis Graphs; 6.3 Application; References; ; Index

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This book builds on two recently published books by the same authors on fuzzy graph theory. Continuing in their tradition, it provides readers with an extensive set of tools for applying fuzzy mathematics and graph theory to social problems such as human trafficking and illegal immigration. Further, it especially focuses on advanced concepts such as connectivity and Wiener indices in fuzzy graphs, distance, operations on fuzzy graphs involving t-norms, and the application of dialectic synthesis in fuzzy graph theory. Each chapter also discusses a number of key, representative applications. Given its approach, the book provides readers with an authoritative, self-contained guide to - and at the same time an inspiring read on - the theory and modern applications of fuzzy graphs. For newcomers, the book also includes a brief introduction to fuzzy sets, fuzzy relations and fuzzy graphs.

Springer Nature

com.springer.onix.9783030042158

Advanced topics in fuzzy graph theory.

9783030042141

Fuzzy graphs.

Fuzzy graphs.

COM004000

UYQ

UYQ

Mordeson, John N.

Mathew, Sunil

20200823080319.0

pn

[Book]

Y