Energy of Fuzzy, Intuitionistic Fuzzy, and Neutrosophic Graphs in Decision Making-A Literature Review.

Sasipriya A. S.; Kumar, Hemant

This review of the literature delves into the complex interplay between energy measures and decision-making processes in the domains of fuzzy graphs, intuitionistic fuzzy graphs, and neutrosophic graphs. In graph theory, energy is a key quantity that is used to measure structural properties and evaluate decision model dynamics. The research methodically examines the theoretical underpinnings, computational techniques, and practical applications of energy measures in contexts involving decision-making, considering the special features brought forth by fuzzy, intuitionistic fuzzy, and neutrosophic graph models. This review attempts to provide a thorough understanding for researchers and practitioners looking to use energy measures for efficient decision support in the setting of uncertainty contained within these specific graph topologies by synthesizing prior research.

NEUTROSOPHIC logic; FUZZY numbers; GRAPH theory; DECISION making; FUZZY systems

International Journal of Neutrosophic Science (IJNS), 2025, Vol 25, Issue 1, p246

2692-6148

Academic Journal

10.54216/IJNS.250123