University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414420170830CERTAIN TYPES OF EDGE m-POLAR FUZZY GRAPHS2750332410.22111/ijfs.2017.3324ENMuhammadAkramDepartment of Mathematics, University of the Punjab, New Campus, Lahore, Pakistanhttps://orcid.org/00NehaWaseemDepartment of Mathematics, University of the Punjab, New Campus,
Lahore, PakistanWieslaw A.DudekFaculty of Pure and Applied Mathematics, Wroclaw University of Science and Technology, Wyb. Wyspianskiego 27, 50-370, Wroclaw, PolandJournal Article20160402In this research paper, we present a novel frame work for handling $m$-polar information by combining the theory of $m-$polar fuzzyÂ 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 $B_{n,n}.$<br />We also present an application of $m-$polar fuzzy graph to decision making.https://ijfs.usb.ac.ir/article_3324_59b5d39f5876cd527802f701f8ecc284.pdf