Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2017; 32(4): 1077-1097

Online first article September 6, 2017      Printed October 31, 2017

https://doi.org/10.4134/CKMS.c160278

Copyright © The Korean Mathematical Society.

Novel decision making method based on domination in $m$-polar fuzzy graphs

Muhammad Akram, Neha Waseem

University of the Punjab, University of the Punjab

Abstract

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In this research article, we introduce certain concepts, including domination, total domination, strong domination, weak domination, edge domination and total edge domination in $m$-polar fuzzy graphs. We describe these concepts by several examples. We investigate some related properties of certain dominations in $m$-polar fuzzy graphs. We also present a decision making method based on domination in $m$- polar fuzzy graphs.

Keywords: dominating set, total dominating set, independent set, strong dominating set, weak dominating set, edge dominating set, decision making method

MSC numbers: 03E72, 68R10, 68R05

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