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This paper explores the concept of t-intuitionistic fuzzy graphs as a powerful tool for analyzing and displaying complex relationships with multiple factors. It also introduces the fundamental set operations of t-intuitionistic fuzzy graphs and the notions of homomorphism and isomorphism. Furthermore, the paper presents a practical application of the proposed technique in the context of poverty reduction. This application highlights the versatility and effectiveness of t-intuitionistic fuzzy graphs as a tool for decision-making and policy planning in complex societal issues.
