An Isolated Interval Valued Neutrosophic Graph

An Isolated Interval Valued Neutrosophic Graph
Author: Said Broumi
Publisher: Infinite Study
Total Pages: 14
Release:
Genre:
ISBN:

The interval valued neutrosophic graphs are generalizations of the fuzzy graphs, interval fuzzy graphs, interval valued intuitionstic fuzzy graphs, and single valued neutrosophic graphs. Previously, several results have been proved on the isolated graphs and the complete graphs. In this paper, a necessary and sufficient condition for an interval valued neutrosophic graph to be an isolated interval valued neutrosophic graph is proved.

Single Valued Neutrosophic Graphs

Single Valued Neutrosophic Graphs
Author: SAID BROUMI
Publisher: Infinite Study
Total Pages: 16
Release:
Genre:
ISBN:

The notion of single valued neutrosophic sets is a generalization of fuzzy sets, intuitionistic fuzzy sets. We apply the concept of single valued neutrosophic sets, an instance of neutrosophic sets, to graphs. We introduce certain types of single valued neutrosophic graphs (SVNG) and investigate some of their properties with proofs and examples.

Single Valued Neutrosophic Coloring

Single Valued Neutrosophic Coloring
Author: A. Rohini
Publisher: Infinite Study
Total Pages: 10
Release:
Genre: Mathematics
ISBN:

Neutrosophic set was introduced by Smarandache in 1998. Due to some real time situation, decision makers deal with uncertainty and inconsistency to identify the best result. Neutrosophic concept helps to investigate the vague or indeterminacy values. Graph structures used to reduce the complications in solving the system of equations for finding the decision of some real-life problems. In this research study, we introduced the single-valued neutrosophic coloring concept. We introduce various notions, single valued neutrosophic vertex coloring, single valued neutrosophic edge coloring, and single valued neutrosophic total coloring and support those definitions with some examples.

Isolated Single Valued Neutrosophic Graphs

Isolated Single Valued Neutrosophic Graphs
Author: Said Broumi
Publisher: Infinite Study
Total Pages: 5
Release:
Genre:
ISBN:

Many results have been obtained on isolated graphs and complete graphs. In this paper, a necessary and sufficient condition will be proved for a single valued neutrosophic graph to be an isolated single valued neutrosophic graph.

Special types of bipolar single valued neutrosophic graphs

Special types of bipolar single valued neutrosophic graphs
Author: Ali Hassan
Publisher: Infinite Study
Total Pages: 19
Release:
Genre:
ISBN:

Neutrosophic theory has many applications in graph theory, bipolar single valued neutrosophic graphs (BSVNGs) is the generalization of fuzzy graphs and intuitionistic fuzzy graphs, SVNGs.

Bipolar Complex Neutrosophic Graphs of Type 1

Bipolar Complex Neutrosophic Graphs of Type 1
Author: Said Broumi
Publisher: Infinite Study
Total Pages: 20
Release:
Genre:
ISBN:

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).

SINGLE VALUED NEUTROSOPHIC TREES

SINGLE VALUED NEUTROSOPHIC TREES
Author: A. HASSAN
Publisher: Infinite Study
Total Pages: 12
Release:
Genre: Mathematics
ISBN:

The edge connectivity plays important role in computer network problems and path problems. In this paper, we introduce special types of single valued neutrosophic (SVN) bridges, single valued neutrosophic cut-vertices, single valued neutrosophic cycles and single valued neutrosophic trees in single valued neutrosophic graphs, and introduced some of their properties.

Neutrosophic Graph Theory and Algorithms

Neutrosophic Graph Theory and Algorithms
Author: Smarandache, Florentin
Publisher: IGI Global
Total Pages: 406
Release: 2019-10-25
Genre: Computers
ISBN: 1799813150

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.

An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method

An Extended Single-Valued Neutrosophic Projection-Based Qualitative Flexible Multi-Criteria Decision-Making Method
Author: Chao Tian
Publisher: Infinite Study
Total Pages: 16
Release:
Genre: Mathematics
ISBN:

With respect to multi-criteria decision-making (MCDM) problems in which the criteria denote the form of single-valued neutrosophic sets (SVNSs), and the weight information is also fully unknown, a novel MCDM method based on qualitative flexible multiple criteria (QUALIFLEX) is developed. Firstly, the improved cosine measure of the included angle between two SVNSs is defined.

Energy and Spectrum Analysis of Interval Valued Neutrosophic Graph using MATLAB

Energy and Spectrum Analysis of Interval Valued Neutrosophic Graph using MATLAB
Author: Said Broumi
Publisher: Infinite Study
Total Pages: 15
Release:
Genre: Mathematics
ISBN:

In recent time graphical analytics of uncertainty and indeterminacy has become major concern for data analytics researchers.In this direction, the mathematical algebra of neutrosophic graph is extended to interval-valued neutrosophic graph. However, building the interval-valued neutrosophic graphs, its spectrum and energy computation is addressed as another issues by research community of neutrosophic environment. To resolve this issue the current paper proposed some related mathematical notations to compute the spectrum and energy of interval-valued neutrosophic graph using the MATAB.