CERTAIN TYPES OF EDGE m-POLAR FUZZY GRAPHS
نویسندگان
1 Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan.
2 Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
3 Faculty of Pure and Applied Mathematics, Wroclaw University of Science and Technology, Wyb. Wyspianskiego 27, 50-370, Wroclaw, Poland
doi
10.22111/ijfs.2017.3324چکیده
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. We discuss the relationship between degree of a vertex and degree of an edge in an $m-$polar fuzzy graph. We investigate edge irregularity on a path on $2n$ vertices and barbell graph $B_{n,n}.$We also present an application of $m-$polar fuzzy graph to decision making.
