Affiliations: [a] Department of Mathematics, Government College Women University, Sialkot, Pakistan
| [b] Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
| [c] CASPAM, Bahauddin Zakariya University, Multan, Pakistan
Correspondence:
[*]
Corresponding author. Muhammad Akram, Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan. E-mail: [email protected].
Abstract: In this paper, we introduce the concepts of dominating and double dominating energy of m-polar fuzzy graphs. Using the notion of eigenvalues of m-polar fuzzy relations, we study certain formulae, lower and upper bounds of dominating and double-dominating energy. We also propose the idea of out-dominating and double out-dominating energy of m-polar fuzzy digraphs. We present a decision model based on m-polar fuzzy preference relations to solve multi-criteria decision-making problems.
