Study for General Plithogenic Soft Expert Graphs

Abstract

Graph theory, a branch of mathematics, focuses on studying graphs that model relationships between objects through vertices and edges [29]. The Turiyam Neutrosophic Graph handles uncertainty by assigning four values to vertices and edges: truth, indeterminacy, falsity, and liberal state. In contrast, the Plithogenic Graph is a general structure where vertices and edges are defined by degrees of appurtenance and contradiction across multiple attributes [45]. The General Plithogenic Graph extends the Plithogenic Graph, offering a broader framework [45]. This study presents new concepts of the General Plithogenic Soft Expert Graph and the Turiyam Neutrosophic Soft Expert Graph, with the former expanding the existing Soft Expert Graph model into a more generalized structure.