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CERTAIN TYPES OF EDGE m-POLAR FUZZY GRAPHS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 3، دوره 14، شماره 4، آبان 2017، صفحه 27-50 اصل مقاله (544.08 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2017.3324 | ||
| نویسندگان | ||
| Muhammad Akram1؛ Neha Waseem1؛ Wieslaw A. Dudek* 2 | ||
| 1Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan | ||
| 2Faculty of Pure and Applied Mathematics, Wroclaw University of Science and Technology, Wyb. Wyspianskiego 27, 50-370, Wroclaw, Poland | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Barbell graph؛ $m-$polar fuzzy sets؛ $m-$polar fuzzy graphs؛ Strongly edge totally irregular $m-$polar fuzzy graphs؛ Decision making | ||
| مراجع | ||
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