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Operations On Single Valued Neutrosophic Graphs
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Book Synopsis Operations on single valued neutrosophic graphs with application by : Sumera Naz
Download or read book Operations on single valued neutrosophic graphs with application written by Sumera Naz and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Neutrosophic Graphs: A New Dimension to Graph Theory by : Vasantha Kandasamy
Download or read book Neutrosophic Graphs: A New Dimension to Graph Theory written by Vasantha Kandasamy and published by Infinite Study. This book was released on 2015 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Single-Valued Neutrosophic Graphs by : Muhammad Akram
Download or read book Single-Valued Neutrosophic Graphs written by Muhammad Akram and published by Springer. This book was released on 2018-12-30 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Study of Regular and Irregular Neutrosophic Graphs with Real Life Applications by : Liangsong Huang
Download or read book A Study of Regular and Irregular Neutrosophic Graphs with Real Life Applications written by Liangsong Huang and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy graph theory is a useful and well-known tool to model and solve many real-life optimization problems. Since real-life problems are often uncertain due to inconsistent and indeterminate information, it is very hard for an expert to model those problems using a fuzzy graph. A neutrosophic graph can deal with the uncertainty associated with the inconsistent and indeterminate information of any real-world problem, where fuzzy graphs may fail to reveal satisfactory results.
Book Synopsis Single-Valued Neutrosophic Planar Graphs by : Muhammad Akrama
Download or read book Single-Valued Neutrosophic Planar Graphs written by Muhammad Akrama and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: We apply the concept of single-valued neutrosophic sets to multigraphs, planar graphs and dual graphs. We introduce the notions of single-valued neutrosophic multigraphs, single-valued neutrosophic planar graphs, and single-valued neutrosophic dual graphs. We illustrate these concepts with examples. We also investigate some of their properties.
Book Synopsis Certain Single-Valued Neutrosophic Graphs with Application by : Muhammad Akram
Download or read book Certain Single-Valued Neutrosophic Graphs with Application written by Muhammad Akram and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this research paper, we present certain types of single-valued neutrosophic graphs, including edge regular single-valued neutrosophic graphs and totally edge regular single-valued neutrosophic graphs. We investigate some of their related properties. We describe an application of single-valued neutrosophic graph in decision making process and present the procedure of our method that is used in our application in an algorithm.
Book Synopsis Constant single valued neutrosophic graphs with applications by : Naeem Jan
Download or read book Constant single valued neutrosophic graphs with applications written by Naeem Jan and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Operations on Single-Valued Neutrosophic Graphs by : Muhammad Akram
Download or read book Operations on Single-Valued Neutrosophic Graphs written by Muhammad Akram and published by Infinite Study. This book was released on with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Derivable Single Valued Neutrosophic Graphs Based on KM-Fuzzy Metric by : MOHAMMAD HAMIDI
Download or read book Derivable Single Valued Neutrosophic Graphs Based on KM-Fuzzy Metric written by MOHAMMAD HAMIDI and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 de ne 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.
Book Synopsis Constant single valued neutrosophic graphs with applications by : Naeem Jan
Download or read book Constant single valued neutrosophic graphs with applications written by Naeem Jan and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Neutrosophic Graph Theory and Algorithms by : Smarandache, Florentin
Download or read book Neutrosophic Graph Theory and Algorithms written by Smarandache, Florentin and published by IGI Global. This book was released on 2019-10-25 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis On Neutrosophic Vague Graphs by : S. Satham Hussain
Download or read book On Neutrosophic Vague Graphs written by S. Satham Hussain and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, the new concept of neutrosophic vague graphs are introduced form the ideas of neutrosophic vague sets. Moreover, some remarkable properties of strong neutrosophic vague graphs, complete neutrosophic vague graphs and self-complementary neutrosophic vague graphs are investigated and the proposed concepts are described with suitable examples.
Book Synopsis On Bipolar Single Valued Neutrosophic Graphs by : SAID BROUMI
Download or read book On Bipolar Single Valued Neutrosophic Graphs written by SAID BROUMI and published by Infinite Study. This book was released on with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Concepts of Interval-Valued Neutrosophic Graphs by : Muhammad Akram
Download or read book Concepts of Interval-Valued Neutrosophic Graphs written by Muhammad Akram and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis SINGLE-VALUED NEUTROSOPHIC HYPERGRAPHS by : MUHAMMAD AKRAM
Download or read book SINGLE-VALUED NEUTROSOPHIC HYPERGRAPHS written by MUHAMMAD AKRAM and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making by : Irfan Deli
Download or read book Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making written by Irfan Deli and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we first introduce single valued trapezoidal neutrosophic (SVTN) numbers with their properties. We then define some operations and distances of the SVTN-numbers. Based on these new operations, we also define some aggregation operators, including SVTN-ordered weighted geometric operator, SVTN-hybrid geometric operator, SVTN-ordered weighted arithmetic operator and SVTN-hybrid arithmetic operator. We then examine the properties of these SVTN-information aggregation operators. By using the SVTN-weighted geometric operator and SVTN-hybrid geometric operator, we also define a multi attribute group decision making method, called SVTN-group decision making method. We finally give an illustrative example and comparative analysis to verify the developed method and to demonstrate its practicality and effectiveness.
Book Synopsis Neutrosophy by : Florentin Smarandache
Download or read book Neutrosophy written by Florentin Smarandache and published by . This book was released on 1998 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
