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Some isomorphic properties of m-polar fuzzy graphs with applications.

Some isomorphic properties of m-polar fuzzy graphs with applications.

Authors :
Ghorai, Ganesh
Pal, Madhumangal
Source :
SpringerPlus. 12/21/2016, Vol. 5 Issue 1, p1-21. 21p.
Publication Year :
2016

Abstract

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 for m-polar fuzzy graph to be weak self complement. Some properties of self complement and weak self complement m-polar fuzzy graphs are discussed. The order, size, busy vertices and free vertices of an m-polar fuzzy graphs are also defined and proved that isomorphic m-polar fuzzy graphs have same order, size and degree. Also, we have presented some results of busy vertices in isomorphic and weak isomorphic m-polar fuzzy graphs. Finally, a relative study of complement and operations on m-polar fuzzy graphs have been made. Applications of m-polar fuzzy graph are also given at the end. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
21931801
Volume :
5
Issue :
1
Database :
Academic Search Index
Journal :
SpringerPlus
Publication Type :
Academic Journal
Accession number :
120309447
Full Text :
https://doi.org/10.1186/s40064-016-3783-z