Neutrosophic Graph Theory and Algorithms

Neutrosophic Graph Theory and Algorithms

Release Date: October, 2019|Copyright: © 2020 |Pages: 406
DOI: 10.4018/978-1-7998-1313-2
ISBN13: 9781799813132|ISBN10: 1799813134|EISBN13: 9781799813156
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Description & Coverage
Description:

Graph theory is a specific concept that has numerous applications throughout many industries. Despite the advancement of this technique, graph theory can still yield ambiguous and imprecise results. In order to cut down on these indeterminate factors, neutrosophic logic has emerged as an applicable solution that is gaining significant attention in solving many real-life decision-making problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. However, empirical research on this specific graph set is lacking.

Neutrosophic Graph Theory and Algorithms is a collection of innovative research on the methods and applications of neutrosophic sets and logic within various fields including systems analysis, economics, and transportation. While highlighting topics including linear programming, decision-making methods, and homomorphism, this book is ideally designed for programmers, researchers, data scientists, mathematicians, designers, educators, researchers, academicians, and students seeking current research on the various methods and applications of graph theory.

Coverage:

The many academic areas covered in this publication include, but are not limited to:

  • Decision-Making Methods
  • Fuzzy Logic
  • Graph Connectivity
  • Homomorphism
  • Linear Programming
  • Neutrosophic Matrices
  • Optimization Techniques
  • Shortest Path Problems
  • Spanning Tree Problems
  • Transportation Networks
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Editor/Author Biographies

Florentin Smarandache PhD, PostDocs, is an Emeritus Professor of Mathematics at the University of New Mexico, United States. He got his MSc in Mathematics and Computer Science from the University of Craiova, Romania, PhD in Mathematics from the State University of Kishinev, and Postdoctoral in Applied Mathematics from Okayama University of Sciences, Japan, and The Guangdong University of Technology, Guangzhou, China. He is the founder of neutrosophy (generalization of dialectics), neutrosophic set, logic, probability and statistics since 1995 and has published hundreds of papers and books on neutrosophic physics, superluminal and instantaneous physics, unmatter, quantum paradoxes, absolute theory of relativity, redshift and blueshift due to the medium gradient and refraction index besides the Doppler effect, paradoxism, outerart, neutrosophy as a new branch of philosophy, Law of Included Multiple-Middle, multispace and multistructure, HyperSoft set, TreeSoft Set, IndetermSoft Set and IndetermHyperSoft Set, SuperHyperGraph, SuperHyperTopology, SuperHyperAlgebra, SuperHyperFunction, Neutrosophic SuperHyperAlgebra, degree of dependence and independence between neutrosophic components, refined neutrosophic set, neutrosophic over-under-off-set, plithogenic set / logic / probability / statistics, symbolic plithogenic algebraic structures, neutrosophic triplet and duplet structures, quadruple neutrosophic structures, extension of algebraic structures to NeutroAlgebra and AntiAlgebra, NeutroGeometry and AntiGeometry, NeutroTopology and AntiTopology, Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, Dezert-Smarandache Theory and so on to many peer-reviewed international journals and many books and he presented papers and plenary lectures to many international conferences around the world. In addition, he published many books of poetry, dramas, children stories, translations, essays, a novel, folklore collections, traveling memories, and art albums: [ http://fs.unm.edu/FlorentinSmarandache.htm ].

Said Broumi was born in Casablanca , Morocco in 1978, is a PHD of Faculty of Science Ben M'Sik, University Hassan II casablanca, Morocco. He received his M.Sc in Industrial Automatic from Hassan II University Ainchok- Casablanca. His search major field is on neutrosophic graph theory, soft set theory, fuzzy theory, intuitionistic fuzzy theory, neutrosophic theory and neutrosophic soft set theory, neutrosophic decision making problem and networking.He published more than 200 articles. He is associate editor of neutrosophic sets and systems journal (http://fs.unm.edu/NSS/ ).

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