A Comprehensive Discussion on Fuzzy Hypersoft Expert, Superhypersoft, and IndetermSoft Graphs

Abstract

Graph theory, a branch of mathematics, studies relationships among entities through vertices and
 edges. To capture the inherent uncertainties in real-world networks, Uncertain Graph Theory has evolved
 within this field. Soft Expert Graphs combine conventional graph theory with expert assessments, using fuzzy
 sets for vertices and edges, while allowing expert opinions to shape the uncertainties and relationships within
 the graph. Hypersoft Graphs extend this concept further by incorporating multi-attribute nodes that represent
 multiple distinct attribute values, enabling the modeling of more complex, multi-dimensional relationships.
 In this paper, we define the Hypersoft Expert Graph and explore its connections to other classes of graphs.
 We also consider the SuperHypersoft Graph, TreeSoft Graph, and IndetermSoft Graph.

DOI: 10.5281/zenodo.14120845