Optimizing Warehouse Selection Through Topological Index Based Energy of q-Rung Orthopair Fuzzy Graphs

Abstract

Abstract In recent years, the study of q-rung orthopair fuzzy graphs (or q-ROFGs) has gained significant attention due to their ability to model complex and uncertain relationships. One crucial aspect in analyzing such graphs is the computation of their energy, which provides insights into their structural properties and dynamics. q-rung orthopair fuzzy sets were introduced, as a method for adjusting the range of indication of decision information by modifying a parameter q. This article presents a comprehensive approach for computing the energy of q-ROFGs. The new concepts of Zagreb energy of q-ROFGs are proposed and some bounds are determined. To demonstrate the applicability of the developed approach and show its viability, a numerical model related to the selection of the most suitable warehouse location is provided. Lastly, a comparative analysis is done, and the proposed approach is found to be compatible with existing models.

Keywords

• Graph energy
• Fuzzy graph
• Analysis
• Multi-attribute decision-making
• Topological indices