Affiliations: [a] Department of Mathematics, School of Advanced Sciences, VIT University, Vellore, Tamil Nadu, India
| [b] Department of Mathematics, School of Advanced Sciences, VIT University, Vellore, Tamil Nadu, India
Correspondence:
[*]
Corresponding author. Sharief Basha.S, Department of Mathematics, School of Advanced Sciences, VIT University, Vellore 632014, Tamil Nadu, India.
E-mail: shariefbasha.s@vit.ac.in.
Abstract: Group decision-making is a technique wherein professionals rank and select the most acceptable ones based on recognised criteria. The objective of the present study was to establish a strategy for solving issues with Laplacian energy and association coefficient measures of intuitionistic fuzzy graphs through group decision-making. Initially, making use of Laplacian energy, the load of each criterion is determined, and the entire criterion load vector is then computed by averaging the determined loads. The substitutes are then ranked using the association coefficient measure linked to every criterion. Finally, we used the proposed technique wherein professionals rank and select the most acceptable based on recognised criteria with real-time application.
Keywords: Association coefficient (AC), group decision making (GDM), correlation coefficient (CC), membership function (MF), non-membership function (NMF), Laplacian energy (LE), intuitionistic fuzzy graphs (IFGs), intuitionistic fuzzy preference relations (IFPRs), intuitionistic fuzzy laplacian matrix (IFLM)
