Certain Properties of Bipolar Neutrosophic Graphs

Certain Properties of Bipolar Neutrosophic Graphs

Author: Muhammad Akram

Publisher: Infinite Study

Published:

Total Pages: 26

ISBN-13:

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In this paper, we discuss spacial types of bipolar neutrosophic graphs, including edge irregular bipolar neutrosophic graphs and totally edge irregular bipolar neutrosophic graphs. We illustrate these types by several examples and investigate some of their interesting properties.


Graph Structures in Bipolar Neutrosophic Environment

Graph Structures in Bipolar Neutrosophic Environment

Author: Muhammad Akram

Publisher: Infinite Study

Published:

Total Pages: 20

ISBN-13:

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A bipolar single-valued neutrosophic (BSVN) graph structure is a generalization of a bipolar fuzzy graph. In this research paper, we present certain concepts of BSVN graph structures. We describe some operations on BSVN graph structures and elaborate on these with examples. Moreover, we investigate some related properties of these operations.


Bipolar Neutrosophic Planar Graphs

Bipolar Neutrosophic Planar Graphs

Author: Muhammad Akram

Publisher: Infinite Study

Published:

Total Pages: 18

ISBN-13:

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Fuzzy graph theory is used for solving real-world problems in different fields, including theoretical computer science, engineering, physics, combinatorics and medical sciences. In this paper, we present conepts of bipolar neutrosophic multigraphs, bipolar neutrosophic planar graphs, bipolar neutrosophic dual graphs, and study some of their related properties. We also describe applications of bipolar neutrosophic graphs in road network and electrical connections.


Bipolar Neutrosophic Graph Structures

Bipolar Neutrosophic Graph Structures

Author: Muhammad Akram

Publisher: Infinite Study

Published:

Total Pages: 22

ISBN-13:

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In this research study, we introduce the concept of bipolar single-valued neutrosophic graph structures. We discuss certain notions of bipolar single-valued neutrosophic graph structures with examples. We present some methods of construction of bipolar single-valued neutrosophic graph structures. We also investigate some of their prosperities.


On Bipolar Single Valued Neutrosophic Graphs

On Bipolar Single Valued Neutrosophic Graphs

Author: SAID BROUMI

Publisher: Infinite Study

Published:

Total Pages: 19

ISBN-13:

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In this article, we combine the concept of bipolar neutrosophic set and graph theory. We introduce the notions of bipolar single valued neutrosophic graphs, strong bipolar single valued neutrosophic graphs, complete bipolar single valued neutrosophic graphs, regular bipolar single valued neutrosophic graphs and investigate some of their related properties.


New Trends in Neutrosophic Theory and Applications

New Trends in Neutrosophic Theory and Applications

Author: Florentin Smarandache (editor)

Publisher: Infinite Study

Published: 2016-11-05

Total Pages: 426

ISBN-13: 1599734982

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Neutrosophic theory and applications have been expanding in all directions at an astonishing rate especially after the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structure such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been a very important tool in all various areas of data mining, decision making, e-learning, engineering, medicine, social science, and some more. The book “New Trends in Neutrosophic Theories and Applications” focuses on theories, methods, algorithms for decision making and also applications involving neutrosophic information. Some topics deal with data mining, decision making, e-learning, graph theory, medical diagnosis, probability theory, topology, and some more. 30 papers by 39 authors and coauthors.


Novel decision-making method based on bipolar neutrosophic information

Novel decision-making method based on bipolar neutrosophic information

Author: Jianming Zhan

Publisher: Infinite Study

Published:

Total Pages: 25

ISBN-13:

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In 1998, Smarandache originally considered the concept of neutrosophic set from philosophical point of view. The notion of a single-valued neutrosophic set is a subclass of the neutrosophic set from a scientific and engineering point of view and an extension of intuitionistic fuzzy sets. A bipolar single-valued neutrosophic set is an extension of a bipolar fuzzy set, which provides us an additional possibility to represent uncertainty, imprecise, incomplete and inconsistent information existing in real situations. In this research article, we apply the concept of bipolar single-valued neutrosophic sets to graph structures and present a novel framework for handling bipolar neutrosophic information by combining bipolar neutrosophic sets with graph structures. Several basic notions concerning bipolar single-valued neutrosophic graph structures are introduced, and some related properties are investigated.We also consider the applications of bipolar single-valued neutrosophic graph structures in decision making. In particular, efficient algorithms are developed to solve decision-making problems regarding recognition of each country’s participation in its conspicuous relationships, detection of psychological improvement of patients in a mental hospital and uncovering the undercover reasons for global terrorism.


Bipolar Complex Neutrosophic Graphs of Type 1

Bipolar Complex Neutrosophic Graphs of Type 1

Author: Said Broumi

Publisher: Infinite Study

Published:

Total Pages: 20

ISBN-13:

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In this paper, we introduced a new neutrosophic graphs called bipolar complex neutrosophic graphs of type1 (BCNG1) and presented a matrix representation for it and studied some properties of this new concept.


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.