Title of article :
CERTAIN TYPES OF EDGE m-POLAR FUZZY GRAPHS
Author/Authors :
Akram, Muhammad Department of Mathematics - University of the Punjab - New Campus, Lahore, Pakistan , Waseem, Neha Department of Mathematics - University of the Punjab - New Campus, Lahore, Pakistan , Dudek, Wieslaw A. Faculty of Pure and Applied Mathematics - Wroclaw University of Science and Technology , Wroclaw, Poland
Abstract :
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.
Keywords :
Barbell graph , $m-$polar fuzzy sets , $m-$polar fuzzy graphs , Strongly edge totally irregular $m-$polar fuzzy graphs , Decision making
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
