AN ANALYSIS OF THE SEIDEL LAPLACIAN ENERGY OF A FUZZY INTUITIONISTIC SYSTEM

This paper presents one of the latest research works in intuitionistic fuzzy graph theory. Along with questionable concepts conveyed in distinctive languages, intuitionistic fuzzy set theory offers a noteworthy and ground-breaking depiction of vulnerability estimation. The concept of energy is related to the spectrum of a graph. The energy of graphs plays a vital role in graph theory. In mathematics, the total sum of the absolute values of the eigenvalues of the graph’s adjacency matrix is referred to as the graph’s energy. In the framework of spectral graph theory, this quantity is extensively studied. When analyzing various repulsive and appealing circumstances, energy graphs are a great tool. Analogous energies based on the eigenvalues of various additional graph matrices have been examined recently. Graph energy possesses numerous mathematical characteristics which are investigated in this paper. One type of graph energy is Seidel Laplacian energy. The Seidel Laplacian energy (SLE) of a graph has already been extended to fuzzy graphs. In this manuscript, it is extended to an intuitionistic fuzzy graph. Energy, Laplacian energy, and SLE of an intuitionistic fuzzy graph are evaluated using some examples, and their lower and upper bounds are derived.