Some Operations On Neutrosophic Fuzzy Graphs
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SOME OPERATIONS ON NEUTROSOPHIC FUZZY GRAPHS
Author | : G. DIVYA, J. MALARVIZHI |
Publsiher | : Infinite Study |
Total Pages | : 6 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9182736450XXX |
Download SOME OPERATIONS ON NEUTROSOPHIC FUZZY GRAPHS Book in PDF, Epub and Kindle
The concept of neutrosophic sets can be utilized as a Mathematical tool to deal with imprecise and unspecified information. The neutrosophic set is a generalization of fuzzy sets and intutionistic fuzzy sets which is applied in Graph theory. The neutrosophic fuzzy graph is used in the problems, where the relation between vertices and hence edges are indeterminate.
Operations on single valued neutrosophic graphs with application
Author | : Sumera Naz ,Hossein Rashmanlou,M. Aslam Malika |
Publsiher | : Infinite Study |
Total Pages | : 15 |
Release | : 2024 |
Genre | : Mathematics |
ISBN | : 9182736450XXX |
Download Operations on single valued neutrosophic graphs with application Book in PDF, Epub and Kindle
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 |
Publsiher | : Infinite Study |
Total Pages | : 10 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9182736450XXX |
Download Operations on Single Valued Neutrosophic Graphs Book in PDF, Epub and Kindle
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.
Some Root Level Modifications in Interval Valued Fuzzy Graphs and Their Generalizations Including Neutrosophic Graphs
Author | : Naeem Jan ,Kifayat Ullah,Tahir Mahmood ,Harish Garg,Bijan Davvaz, Arsham Borumand Saeid,Said Broumi |
Publsiher | : Infinite Study |
Total Pages | : 23 |
Release | : 2024 |
Genre | : Mathematics |
ISBN | : 9182736450XXX |
Download Some Root Level Modifications in Interval Valued Fuzzy Graphs and Their Generalizations Including Neutrosophic Graphs Book in PDF, Epub and Kindle
Fuzzy graphs (FGs) and their generalizations have played an essential role in dealing with real-life problems involving uncertainties. The goal of this article is to show some serious flaws in the existing definitions of several root-level generalized FG structures with the help of some counterexamples. To achieve this, first, we aim to improve the existing definition for interval-valued FG, interval-valued intuitionistic FG and their complements, as these existing definitions are not well-defined; i.e., one can obtain some senseless intervals using the existing definitions. The limitations of the existing definitions and the validity of the new definitions are supported with some examples.
Operations on Interval Valued Neutrosophic Graphs
Author | : BROUMI, S.,SMARANDACHE, F.,TALEA, M.,BAKALI, A. |
Publsiher | : Infinite Study |
Total Pages | : 24 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9182736450XXX |
Download Operations on Interval Valued Neutrosophic Graphs Book in PDF, Epub and Kindle
Combining the single valued neutrosophic set with graph theory, a new graph model emerges, called single valued neutrosophic graph.
Interval Valued Neutrosophic Soft Graphs
Author | : Said Broumi,Assia Bakali,Mohamed Talea,Florentin Smarandache,Faruk Karaaslan |
Publsiher | : Infinite Study |
Total Pages | : 34 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9182736450XXX |
Download Interval Valued Neutrosophic Soft Graphs Book in PDF, Epub and Kindle
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.
Some Results on the Graph Theory for Complex Neutrosophic Sets
Author | : Shio Gai Quek,Said Broumi,Ganeshsree Selvachandran,Assia Bakali,Mohamed Talea,Florentin Smarandache |
Publsiher | : Infinite Study |
Total Pages | : 30 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9182736450XXX |
Download Some Results on the Graph Theory for Complex Neutrosophic Sets Book in PDF, Epub and Kindle
Fuzzy graph theory plays an important role in the study of the symmetry and asymmetry properties of fuzzy graphs. With this in mind, in this paper, we introduce new neutrosophic graph called complex neutrosophic graphs of type 1 (abbr. CNG1). We then present a matrix representation for it and study some properties of this new concept.
Derivable Single Valued Neutrosophic Graphs Based on KM Fuzzy Metric
Author | : MOHAMMAD HAMIDI,FLORENTIN SMARANDACHE |
Publsiher | : Infinite Study |
Total Pages | : 20 |
Release | : 2024 |
Genre | : Mathematics |
ISBN | : 9182736450XXX |
Download Derivable Single Valued Neutrosophic Graphs Based on KM Fuzzy Metric Book in PDF, Epub and Kindle
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.