Operations On Single Valued Neutrosophic Graphs

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Operations on single valued neutrosophic graphs with application

Author : Sumera Naz ,Hossein Rashmanlou,M. Aslam Malika
Publisher : Infinite Study
Page : 15 pages
File Size : 53,5 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Operations on single valued neutrosophic graphs with application by Sumera Naz ,Hossein Rashmanlou,M. Aslam Malika Pdf

The concepts of graph theory are applied in many areas of computer science including image segmentation, data mining, clustering, image capturing and networking. Fuzzy graph theory is successfully used in many problems, to handle the uncertainty that occurs in graph theory. A single valued neutrosophic graph (SVNG) is an instance of a neutrosophic graph and a generalization of the fuzzy graph, intuitionistic fuzzy graph, and interval-valued intuitionistic fuzzy graph. In this paper, the basic operations on SVNGs such as direct product, Cartesian product, semi-strong product, strong product, lexicographic product, union, ring sum and join are defined. Moreover, the degree of a vertex in SVNGs formed by these operations in terms of the degree of vertices in the given SVNGs in some particular cases are determined. Finally, an application of single valued neutrosophic digraph (SVNDG) in traval time is provided.

Operations on Single-Valued Neutrosophic Graphs

Author : Muhammad Akram,Gulfam Shahzadi
Publisher : Infinite Study
Page : 10 pages
File Size : 54,7 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Operations on Single-Valued Neutrosophic Graphs by Muhammad Akram,Gulfam Shahzadi Pdf

The concept of neutrosophic sets can be utilized as a mathematical tool to deal with imprecise and unspecified information. In this paper, we apply the concept of single-valued neutrosophic sets to graphs. We introduce the notion of single-valued neutrosophic graphs, and present some fundamental operations on single-valued neutrosophic graphs. We explore some interesting properties of single-valued neutrosophic graphs by level graphs. We highlight some flaws in the definitions of Broumi et al. [10] and Shah-Hussain [18]. We also present an application of single-valued neutrosophic graphs in social network.

Operations on Interval Valued Neutrosophic Graphs

Author : BROUMI, S.,SMARANDACHE, F.,TALEA, M.,BAKALI, A.
Publisher : Infinite Study
Page : 24 pages
File Size : 44,6 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Operations on Interval Valued Neutrosophic Graphs by BROUMI, S.,SMARANDACHE, F.,TALEA, M.,BAKALI, A. Pdf

Combining the single valued neutrosophic set with graph theory, a new graph model emerges, called single valued neutrosophic graph.

Operations of Single Valued Neutrosophic Coloring

Author : A. Rohini,M.. Venkatachalam,Dafik,Said Broumi,Florentin Smarandache
Publisher : Infinite Study
Page : 7 pages
File Size : 47,5 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Operations of Single Valued Neutrosophic Coloring by A. Rohini,M.. Venkatachalam,Dafik,Said Broumi,Florentin Smarandache Pdf

Smarandache introduced the concept of Neutrosophic which deals with membership, non-membership and indeterminacy values. Wang discussed the Single Valued Neutrosophic sets in 2010. Single Valued Neutrosophic graph was introduced by Broumi and in 2019 Single Valued Neutrosophic coloring was introduced. In this paper, some properties of the Single Valued Neutrosophic Coloring of Strong Single Valued Neutrosophic graph, Complete Single Valued Neutrosophic graph and Complement of Single Valued Neutrosophic graphs are discussed.

On single-valued co-neutrosophic graphs

Author : R.Dhavaseelan ,S. Jafari ,M. R. Farahani,S. Broumi
Publisher : Infinite Study
Page : 8 pages
File Size : 41,6 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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On single-valued co-neutrosophic graphs by R.Dhavaseelan ,S. Jafari ,M. R. Farahani,S. Broumi Pdf

In this paper, we introduce the notion of a single-valued co-neutrosophic graphs and study some methods of construction of new single-valued co-neutrosophic graphs. We compute degree of a vertex, strong single-valued co-neutrosophic graphs and complete single-valued co-neutrosophic graphs. We also introduce and give properties of regular and totally regular single-valued co-neutrosophic graphs.

Single Valued Neutrosophic Graphs

Author : SAID BROUMI,MOHAMED TALEA,ASSIA BAKALI,FLORENTIN SMARANDACHE
Publisher : Infinite Study
Page : 16 pages
File Size : 41,7 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Single Valued Neutrosophic Graphs by SAID BROUMI,MOHAMED TALEA,ASSIA BAKALI,FLORENTIN SMARANDACHE Pdf

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.

Constant single valued neutrosophic graphs with applications

Author : Naeem Jan,Lemnaouar Zedam,Tahir Mahmood,Kifayat Ullah,Said Broumi,Florentin Smarandache
Publisher : Infinite Study
Page : 13 pages
File Size : 40,9 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Constant single valued neutrosophic graphs with applications by Naeem Jan,Lemnaouar Zedam,Tahir Mahmood,Kifayat Ullah,Said Broumi,Florentin Smarandache Pdf

In this paper, we introduced a new concept of single valued neutrosophic graph (SVNG) known as constant single valued neutrosophic graph (CSVNG). Basically, SVNG is a generalization of intuitionistic fuzzy graph (IFG). More specifically, we described and explored somegraph theoretic ideas related to the introduced concepts of CSVNG. An application of CSVNG in a Wi-Fi network system is discussed and a comparison of CSVNG with constant IFG is established showing the worth of the proposed work. Further, several terms like constant function and totally constant function are investigated in the frame-work of CSVNG and their characteristics are studied.

Uniform Single Valued Neutrosophic Graphs

Author : S. Broumi , A. Dey,A. Bakali,M. Talea,F. Smarandache,L. H. Son,D. Koley
Publisher : Infinite Study
Page : 8 pages
File Size : 51,7 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Uniform Single Valued Neutrosophic Graphs by S. Broumi , A. Dey,A. Bakali,M. Talea,F. Smarandache,L. H. Son,D. Koley Pdf

In this paper, we propose a new concept named the uniform single valued neutrosophic graph. An illustrative example and some properties are examined. Next, we develop an algorithmic approach for computing the complement of the single valued neutrosophic graph. A numerical example is demonstrated for computing the complement of single valued neutrosophic graphs and uniform single valued neutrosophic graph.

Derivable Single Valued Neutrosophic Graphs Based on KM-Fuzzy Metric

Author : MOHAMMAD HAMIDI,FLORENTIN SMARANDACHE
Publisher : Infinite Study
Page : 20 pages
File Size : 45,5 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Derivable Single Valued Neutrosophic Graphs Based on KM-Fuzzy Metric by MOHAMMAD HAMIDI,FLORENTIN SMARANDACHE Pdf

In this paper we consider the concept of KM-fuzzy metric spaces and we introduce a novel concept of KM-single valued neutrosophic metric graphs based on KM-fuzzy metric spaces. Then we investigate the nite KM-fuzzy metric spaces with respect to KM-fuzzy metrics and we construct the KM-fuzzy metric spaces on any given non-empty sets. We try to extend the concept of KM-fuzzy metric spaces to a larger class of KM-fuzzy metric spaces such as union and product of KM-fuzzy metric spaces and in this regard we investigate the class of products of KM-single valued neutrosophic metric graphs. In the nal, we dene some operations such as tensor product, Cartesian product, semi-strong product, strong product, union, semi-ring sum, suspension, and complement of KM-single valued neutrosophic metric graphs.

On Bipolar Single Valued Neutrosophic Graphs

Author : SAID BROUMI ,MOHAMED TALEA,ASSIA BAKALI,FLORENTIN SMARANDACHE
Publisher : Infinite Study
Page : 19 pages
File Size : 53,7 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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On Bipolar Single Valued Neutrosophic Graphs by SAID BROUMI ,MOHAMED TALEA,ASSIA BAKALI,FLORENTIN SMARANDACHE Pdf

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.

Accessible single-valued neutrosophic graphs

Author : M. Hamidi,A. Borumand Saeid
Publisher : Infinite Study
Page : 26 pages
File Size : 42,8 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Accessible single-valued neutrosophic graphs by M. Hamidi,A. Borumand Saeid Pdf

This paper derived single-valued neutrosophic graphs from single-valued neutrosophic hypergraphs via strong equivalence relation. We show that any weak single-valued neutrosophic graph is a derived single-valued neutrosophic graph and any linear weak single-valued neutrosophic tree is an extendable linear single-valued neutrosophic tree.

Concepts of Interval-Valued Neutrosophic Graphs

Author : Muhammad Akram , Maryam Nasir
Publisher : Infinite Study
Page : 21 pages
File Size : 48,5 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Concepts of Interval-Valued Neutrosophic Graphs by Muhammad Akram , Maryam Nasir Pdf

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.

Interval Valued Neutrosophic Soft Graphs

Author : Said Broumi,Assia Bakali,Mohamed Talea,Florentin Smarandache,Faruk Karaaslan
Publisher : Infinite Study
Page : 34 pages
File Size : 42,6 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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Interval Valued Neutrosophic Soft Graphs by Said Broumi,Assia Bakali,Mohamed Talea,Florentin Smarandache,Faruk Karaaslan Pdf

In this article, we combine the interval valued neutrosophic soft set and graph theory. We introduce the notions of interval valued neutrosophic soft graphs, strong interval valued neutrosophic graphs, complete interval valued neutrosophic graphs, and investigate some of their related properties. We study some operations on interval valued neutrosophic soft graphs. We also give an application of interval valued neutrosophic soft graphs into a decision making problem. We hold forth an algorithm to solve decision making problems by using interval valued neutrosophic soft graphs.

INTERVAL VALUED NEUTROSOPHIC GRAPHS

Author : Said BROUMI,Mohamed TALEA,Assia BAKALI,Florentin SMARANDACHE
Publisher : Infinite Study
Page : 8 pages
File Size : 46,6 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 8210379456XXX

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INTERVAL VALUED NEUTROSOPHIC GRAPHS by Said BROUMI,Mohamed TALEA,Assia BAKALI,Florentin SMARANDACHE Pdf

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 neutrosophic sets. We apply for the first time the concept of interval valued neutrosophic sets, an instance of neutrosophic sets, to graph theory.

Self-Centered Single Valued Neutrosophic Graphs

Author : V. Krishnaraj,R. Vikramaprasad,R. Dhavaseelan
Publisher : Infinite Study
Page : 8 pages
File Size : 50,8 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Self-Centered Single Valued Neutrosophic Graphs by V. Krishnaraj,R. Vikramaprasad,R. Dhavaseelan Pdf

In this paper, we introduce the concepts of length, distance, eccentricity, radius, diameter, status, total status, median and central vertex of a single valued neutrosophic graph. We present the concept of self-centered single valued neutrosophic graph. We investigated some properties of self-centered single valued neutrosophic graphs.