Homomorphism and Isomorphism in strong neutrosophic graphs

Homomorphism and Isomorphism in strong neutrosophic graphs

Author: M. Mullai

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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The concept of strong neutrosophic graph is developed with example and some of their properties are investigated in this paper. Some definitions, homomorphism, isomorphism theorems and propositions in strong neutrosophic graphs are established. Basic operations(like union, intersection etc.,) and complement of strong neutrosophic graphs are also derived here.


International Journal of Neutrosophic Science (IJNS) Volume 11, 2020

International Journal of Neutrosophic Science (IJNS) Volume 11, 2020

Author: Broumi Said

Publisher: Infinite Study

Published:

Total Pages: 114

ISBN-13:

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International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. Papers concern with neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributions to economics, finance, management, industries, electronics, and communications are promoted.


Neutrosophic Vague Line Graphs

Neutrosophic Vague Line Graphs

Author: S. Satham Hussain

Publisher: Infinite Study

Published: 2020-10-01

Total Pages: 10

ISBN-13:

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Neutrosophic graphs are employed as a mathematical key to hold an imprecise and unspecified data. Vague sets gives more intuitive graphical notation of vague information, that delicates crucially better analysis in data relationships, incompleteness and similarity measures. In this paper, the neutrosophic vague line graphs are introduced. The necessary and sufficient condition for a line graph to be neutrosophic vague line graph is provided. Further, homomorphism, weak vertex and weak line isomorphism are discussed. The given results are illustrated with suitable example.


Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020

Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2020-10-01

Total Pages: 410

ISBN-13:

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Neutrosophic Sets and Systems (NSS) is an academic journal, published quarterly online and on paper, that has been created for publications of advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics etc. and their applications in any field.


Neutrosophic Sets and Systems, Vol. 36, 2020

Neutrosophic Sets and Systems, Vol. 36, 2020

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 410

ISBN-13:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles in this issue: n-Refined Neutrosophic Modules, A Neutrosophic Approach to Digital Images, A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number.


Neutrosophic Bipolar Vague Line Graph

Neutrosophic Bipolar Vague Line Graph

Author: P. Chitra Devi

Publisher: Infinite Study

Published:

Total Pages: 11

ISBN-13:

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Neutrosophic vague graphs are employed as a mathematical key to hold an imprecise and unspecified data. Vague sets gives more intuitive graphical notation of vague information, that delicates crucially better analysis in data relationships, incompleteness and similarity measures. In this paper, the neutrosophic bipolar vague line graphs are introduced. The necessary and sufficient condition for a line graph to be neutrosophic bipolar vague line graph is provided. Further, homomorphism, weak vertex and weak line isomorphism are discussed. The given results are illustrated with suitable example.


A Study of Regular and Irregular Neutrosophic Graphs with Real Life Applications

A Study of Regular and Irregular Neutrosophic Graphs with Real Life Applications

Author: Liangsong Huang

Publisher: Infinite Study

Published:

Total Pages: 20

ISBN-13:

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Fuzzy graph theory is a useful and well-known tool to model and solve many real-life optimization problems. Since real-life problems are often uncertain due to inconsistent and indeterminate information, it is very hard for an expert to model those problems using a fuzzy graph. A neutrosophic graph can deal with the uncertainty associated with the inconsistent and indeterminate information of any real-world problem, where fuzzy graphs may fail to reveal satisfactory results.


Neutrosophic Graphs: A New Dimension to Graph Theory

Neutrosophic Graphs: A New Dimension to Graph Theory

Author: Vasantha Kandasamy

Publisher: Infinite Study

Published: 2015

Total Pages: 127

ISBN-13: 1599733625

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Studies to neutrosophic graphs happens to be not only innovative and interesting, but gives a new dimension to graph theory. The classic coloring of edge problem happens to give various results. Neutrosophic tree will certainly find lots of applications in data mining when certain levels of indeterminacy is involved in the problem. Several open problems are suggested.


Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models

Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models

Author: W. B. Vasantha Kandasamy

Publisher: Infinite Study

Published: 2004-01-01

Total Pages: 149

ISBN-13: 193123387X

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For the involvement of uncertainty of varying degrees, when the total of the membership degree exceeds one or less than one, then the newer mathematical paradigm shift, Fuzzy Theory proves appropriate.For the past two or three decades, Fuzzy Theory has become the potent tool to study and analyze uncertainty involved in all problems. But, many real world problems also abound with the concept of indeterminacy.In this book, the new, powerful tool of neutrosophy that deals with indeterminacy is utilized. Innovative neutrosophic models are described.The theory of neutrosophic graphs is introduced and applied to fuzzy and neutrosophic models.Neutrosophic Logic and Neutrosophic Set (generalizations of Intuitionistic Fuzzy Logic and Intuitionistic Fuzzy Set respectively) became strong tools for applications.