INTERVAL VALUED SIGNED NEUTROSOPHIC GRAPH

INTERVAL VALUED SIGNED NEUTROSOPHIC GRAPH
Author: SUDHAKAR.V.J.
Publisher: Infinite Study
Total Pages: 9
Release:
Genre: Mathematics
ISBN:

The notion of interval valued neutrosophic sets is a generalization of fuzzy sets, intuitionistic fuzzy sets, interval valued fuzzy sets, interval valued intuitionstic fuzzy sets and single valued neutrosophicsets. We apply for the first time the concept of interval valued neutrosophic sets, an instance of neutrosophic sets, to the graph theory. We introduce certain types of interval valued signed neutrosophc graphs (IVNG) and investigate some of their properties with proof and example.

Interval-Valued Neutrosophic Graph Structures

Interval-Valued Neutrosophic Graph Structures
Author: Muhammad Akram
Publisher: Infinite Study
Total Pages: 25
Release:
Genre:
ISBN:

In this research article, we introduce certain notions of interval-valued neutrosophic graph structures. We elaborate the concepts of interval-valued neutrosophic graph structures with examples.

Interval Neutrosophic Sets and Logic: Theory and Applications in Computing

Interval Neutrosophic Sets and Logic: Theory and Applications in Computing
Author: Haibin Wang
Publisher: Infinite Study
Total Pages: 99
Release: 2005
Genre: Mathematics
ISBN: 1931233942

This book presents the advancements and applications of neutrosophics, which are generalizations of fuzzy logic, fuzzy set, and imprecise probability. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and information fusion), medicine, military, cybernetics, physics.In the last chapter a soft semantic Web Services agent framework is proposed to facilitate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft semantic Web Services agent is implemented using interval neutrosophic logic.

Interval-Valued Neutrosophic Competition Graphs

Interval-Valued Neutrosophic Competition Graphs
Author: Muhammad Akram
Publisher: Infinite Study
Total Pages: 18
Release:
Genre:
ISBN:

We first introduce the concept of interval-valued neutrosophic competition graphs. We then discuss certain types, including k-competition interval-valued neutrosophic graphs, p-competition interval-valued neutrosophic graphs and m-step interval-valued neutrosophic competition graphs. Moreover, we present the concept of m-step interval-valued neutrosophic neighbouhood graphs.

Concepts of Interval-Valued Neutrosophic Graphs

Concepts of Interval-Valued Neutrosophic Graphs
Author: Muhammad Akram
Publisher: Infinite Study
Total Pages: 20
Release:
Genre:
ISBN:

Broumi et al. [15] proposedthe concept of interval-valued neutrosophic graphs. In this research article, we first show that there are some flaws in Broumi et al. [15] ’s definition, which cannot be applied in network models. We then modify the definition of an interval-valued neutrosophic graph. Further, we present some operations on interval-valued neutrosophic graphs. Moreover, we discuss the concepts of self-complementary and self weak complementary interval-valued neutrosophic complete graphs. Finally, we describe regularity of interval-valued neutrosophic graphs.

Neutrosophic Graphs: A New Dimension to Graph Theory

Neutrosophic Graphs: A New Dimension to Graph Theory
Author: Vasantha Kandasamy
Publisher: Infinite Study
Total Pages: 127
Release: 2015
Genre: Graph theory
ISBN: 1599733625

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.

On Strong Interval Valued Neutrosophic Graphs

On Strong Interval Valued Neutrosophic Graphs
Author: Said Broumi
Publisher: Infinite Study
Total Pages: 23
Release:
Genre:
ISBN:

In this paper, we discuss a subclass of interval valued neutrosophic graphs called strong interval valued neutrosophic graphs, which were introduced by Broumi et al. [41]. The operations of Cartesian product, composition, union and join of two strong interval valued neutrosophic graphs are defined. Some propositions involving strong interval valued neutrosophic graphs are stated and proved.

Single-Valued Neutrosophic Graphs

Single-Valued Neutrosophic Graphs
Author: Muhammad Akram
Publisher: Springer
Total Pages: 389
Release: 2018-12-30
Genre: Mathematics
ISBN: 9811335222

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.