This paper rigorously defines essential operations on turiyam graphs, establishes their properties and demonstrate their applicability to medical diagnosis, and establishes a formal framework for operations on turiyam graphs.
Abstract
Background Turiyam graphs help researchers to model undefined relationships in complicated systems. It handles uncertainty better than existing graphs like intuitionistic fuzzy graphs, and neutrosophic graphs. The theory of turiyam graphs are still underdeveloped, and several fundamental operations on turiyam graphs have not yet been formally defined. Methods In this study, the concept of neutrosophic graphs extended for turiyam graphs and their properties are formulated and analyzed. Results This paper rigorously defines essential operations on turiyam graphs, establishes their properties and demonstrate their applicability to medical diagnosis. Conclusions The study establishes a formal framework for operations on turiyam graphs and demonstrates their potential application in medical diagnosis.
The concept of the (α, β, γ, δ)-level graph for a Turiyam graph, a novel extension of fuzzy and neutrosophic graphs that incorporates a fourth independent membership degree representing the unknown or liberal component, is investigated.
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