m-polar intuitionistic graphs and its properties
Authors
Abstract:
In many real world problems, data sometimes comes from n agents (n≥2), multipolar information exists. For issues that are associated with uncertainty, this information can not be showed with the values of crisp, fuzzy, intuitionistic or bipolar. Graph is one of the mathematical models widely used in different sciences. Ambiguity in a graph where data depends on the n parameter can not be showed with fuzzy graphs or bipolar graph. With definition of fuzzy n- polar sets this problem was resolved. But all of this information is partly true and partly false. So this information can not be shown as well with n- polar fuzzy graphs. In this article introduces n-polar intuitionistic set and then we define n-polar intuitionistic graph the extension of the n- polar fuzzy graph. Also, some basic concepts such as the cartesian product, composition, union and join in the graph with proving theorems and examples are also provided.
similar resources
CERTAIN TYPES OF EDGE m-POLAR FUZZY GRAPHS
In this research paper, we present a novel frame work for handling $m$-polar information by combining the theory of $m-$polar fuzzy sets with graphs. We introduce certain types of edge regular $m-$polar fuzzy graphs and edge irregular $m-$polar fuzzy graphs. We describe some useful properties of edge regular, strongly edge irregular and strongly edge totally irregular $m-$polar fuzzy graphs. W...
full textSome isomorphic properties of m-polar fuzzy graphs with applications
The theory of graphs are very useful tool in solving the combinatorial problems in different areas of computer science and computational intelligence systems. In this paper, we present a frame work to handle m-polar fuzzy information by combining the theory of m-polar fuzzy sets with graphs. We introduce the notion of weak self complement m-polar fuzzy graphs and establish a necessary condition...
full textNovel Properties of Intuitionistic Fuzzy Competition Graphs
We investigate some new properties of intuitionistic fuzzy competition graphs. We present the construction of intuitionistic fuzzy competition graph. We study new type of intuitionistic fuzzy graphs by considering intuitionistic fuzzy open neighbourhood and intuitionistic fuzzy closed neighbourhood of the vertices. We also present an application of intuitionistic fuzzy competition graphs. c ©20...
full textProperties of Operations on Total Regular Intuitionistic Fuzzy Graphs
In this paper, some properties of union and join on total regular intuitionistic fuzzy graphs are derived, and also theorems related to these concepts are stated and proved. AMS Mathematics Subject Classification (2010): 03E72, 05C72.
full textIntuitionistic Neutrosophic Set Relations and Some of Its Properties
In this paper, we define intuitionistic neutrosophic set (INSs). In fact, all INSs are neutrosophic set but all neutrosophic sets are not INSs. We have shown by means of example that the definition for neutrosophic sets the complement and union are not true for INSs also give new definition of complement, union and intersection of INSs. We define the relation of INSs and four special type of IN...
full textA Study on Intuitionistic Fuzzy and Normal Fuzzy M-Subgroup, M-Homomorphism and Isomorphism
In this paper, we introduce some properties of an intuitionistic normal fuzzy m-subgroup of m- group with m-homomorphism and isomorphism. We study he image, the pre-image and the inverse mapping of the intuitionistic normal fuzzy m-subgroups.
full textMy Resources
Journal title
volume 3 issue 12
pages 71- 78
publication date 2018-01-01
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023