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Author: S. Broumi Publisher: Infinite Study ISBN: Category : Languages : en Pages : 8
Book Description
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.
Author: S. Broumi Publisher: Infinite Study ISBN: Category : Languages : en Pages : 8
Book Description
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.
Author: SAID BROUMI Publisher: Infinite Study ISBN: Category : Languages : en Pages : 16
Book Description
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.
Author: Said Broumi Publisher: Infinite Study ISBN: Category : Languages : en Pages : 5
Book Description
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.
Author: Naeem Jan Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 13
Book Description
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.
Author: Naeem Jan Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 13
Book Description
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.
Author: Sumera Naz Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 15
Book Description
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.
Author: Muhammad Akram Publisher: Infinite Study ISBN: Category : Languages : en Pages : 26
Book Description
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.
Author: V. Krishnaraj Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 8
Book Description
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.
Author: A. Rohini Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 10
Book Description
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.
Author: MUHAMMAD AKRAM Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 14
Book Description
Fuzzy set theory was introduced by Zadeh [17] to solve diculties in dealing with uncertainties. Since then the theory of fuzzy sets and fuzzy logic have been examined by many researchers to solve many real life problems, involving ambiguous and uncertain environment. Atanassov [3] introduced the concept of intuitionistic fuzzy set as an extension of Zadeh's fuzzy set [17]. An intuitionistic fuzzy set can be viewed as an alternative approach when available information is not sucient to de ne the impreciseness by the conventional fuzzy set.
Author: S. Broumi 
Author: S. Broumi 
Author: SAID BROUMI
Author: Said Broumi
Author: Naeem Jan
Author: Naeem Jan
Author: Sumera Naz 
Author: Muhammad Akram
Author: V. Krishnaraj
Author: A. Rohini
Author: MUHAMMAD AKRAM