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Bipolar Neutrosophic Graph Structures


Bipolar Neutrosophic Graph Structures
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Bipolar Neutrosophic Graph Structures


Bipolar Neutrosophic Graph Structures
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Author : Muhammad Akram
language : en
Publisher: Infinite Study
Release Date :

Bipolar Neutrosophic Graph Structures written by Muhammad Akram and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


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.



Graph Structures In Bipolar Neutrosophic Environment


Graph Structures In Bipolar Neutrosophic Environment
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Author : Muhammad Akram
language : en
Publisher: Infinite Study
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Graph Structures In Bipolar Neutrosophic Environment written by Muhammad Akram and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


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.



Novel Decision Making Method Based On Bipolar Neutrosophic Information


Novel Decision Making Method Based On Bipolar Neutrosophic Information
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Author : Jianming Zhan
language : en
Publisher: Infinite Study
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Novel Decision Making Method Based On Bipolar Neutrosophic Information written by Jianming Zhan and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


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.



Single Valued Neutrosophic Graphs


Single Valued Neutrosophic Graphs
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Author : Muhammad Akram
language : en
Publisher: Springer
Release Date : 2018-12-30

Single Valued Neutrosophic Graphs written by Muhammad Akram and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-30 with Mathematics categories.


This book addresses single-valued neutrosophic graphs and their applications. In addition, it introduces readers to a number of central concepts, including certain types of single-valued neutrosophic graphs, energy of single-valued neutrosophic graphs, bipolar single-valued neutrosophic planar graphs, isomorphism of intuitionistic single-valued neutrosophic soft graphs, and single-valued neutrosophic soft rough graphs. Divided into eight chapters, the book seeks to remedy the lack of a mathematical approach to indeterminate and inconsistent information. Chap. 1 presents a concise review of single-valued neutrosophic sets, while Chap. 2 explains the notion of neutrosophic graph structures and explores selected properties of neutrosophic graph structures. Chap. 3 discusses specific bipolar neutrosophic graphs. Chap. 4 highlights the concept of interval-valued neutrosophic graphs, while Chap. 5 presents certain notions concerning interval-valued neutrosophic graph structures. Chap. 6 addresses the concepts of rough neutrosophic digraphs and neutrosophic rough digraphs. Chap. 7 focuses on the concepts of neutrosophic soft graphs and intuitionistic neutrosophic soft graphs, before Chap. 8 rounds out the book by considering neutrosophic soft rough graphs.



Graphs For The Analysis Of Bipolar Fuzzy Information


Graphs For The Analysis Of Bipolar Fuzzy Information
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Author : Muhammad Akram
language : en
Publisher: Springer Nature
Release Date : 2020-11-02

Graphs For The Analysis Of Bipolar Fuzzy Information written by Muhammad Akram and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-02 with Mathematics categories.


This monograph discusses decision making methods under bipolar fuzzy graphical models with the aim of overcoming the lack of mathematical approach towards bipolar information—positive and negative. It investigates the properties of bipolar fuzzy graphs, their distance functions, and concept of their isomorphism. It presents certain notions, including irregular bipolar fuzzy graphs, domination in bipolar fuzzy graphs, bipolar fuzzy circuits, energy in bipolar fuzzy graphs, bipolar single-valued neutrosophic competition graphs, and bipolar neutrosophic graph structures. This book also presents the applications of mentioned concepts to real-world problems in areas of product manufacturing, international relations, psychology, global terrorism and more, making it valuable for researchers, computer scientists, social scientists and alike.



Intuitionistic Bipolar Neutrosophic Set And Its Application To Intuitionistic Bipolar Neutrosophic Graphs


Intuitionistic Bipolar Neutrosophic Set And Its Application To Intuitionistic Bipolar Neutrosophic Graphs
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Author : S. SATHAM HUSSAIN
language : en
Publisher: Infinite Study
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Intuitionistic Bipolar Neutrosophic Set And Its Application To Intuitionistic Bipolar Neutrosophic Graphs written by S. SATHAM HUSSAIN and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


This manuscript is devoted to study a new concept of intuitionistic bipolar neutrosophic set with the operations like union, intersection and complement. Also, an application to intuitionistic bipolar neutrosophic graph with examples are developed. Further, we presented the Cartesian product, cross product, lexicographic product and strong product with suitable examples.



On Bipolar Single Valued Neutrosophic Graphs


On Bipolar Single Valued Neutrosophic Graphs
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Author : SAID BROUMI
language : en
Publisher: Infinite Study
Release Date :

On Bipolar Single Valued Neutrosophic Graphs written by SAID BROUMI and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


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.



Certain Properties Of Bipolar Neutrosophic Graphs


Certain Properties Of Bipolar Neutrosophic Graphs
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Author : Muhammad Akram
language : en
Publisher: Infinite Study
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Certain Properties Of Bipolar Neutrosophic Graphs written by Muhammad Akram and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


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.



Generalized Bipolar Neutrosophic Graphs Of Type 1


Generalized Bipolar Neutrosophic Graphs Of Type 1
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Author : Said Broumi
language : en
Publisher: Infinite Study
Release Date :

Generalized Bipolar Neutrosophic Graphs Of Type 1 written by Said Broumi and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


In this research paper, based on the notion of generalized single valued neutrosophic graphs of type 1, we presented a new type of neutrosophic graphs called generalized bipolar neutrosophic graphs of type 1 (GBNG1) and presented a matrix representation for it and studied some properties of this new concept.



Bipolar Complex Neutrosophic Graphs Of Type 1


Bipolar Complex Neutrosophic Graphs Of Type 1
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Author : Said Broumi
language : en
Publisher: Infinite Study
Release Date :

Bipolar Complex Neutrosophic Graphs Of Type 1 written by Said Broumi and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


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. The concept of BCNG1 is an extension of generalized fuzzy graphs of type 1 (GFG1), generalized single valued neutrosophic graphs of type 1 (GSVNG1), Generalized bipolar neutrosophic graphs of type 1(GBNG1) and complex neutrosophic graph of type 1(CNG1).