FUZZY SIGNED GRAPH

Abstract

            This paper introduces the concept of fuzzy signed graph, a novel extension of traditional graph theory that integrates fuzzy logic and signed edges. Fuzzy signed graphs enable a nuanced representation of relationships by incorporating uncertainty through varying degrees of membership and capturing the nature of connections as positive, negative, or neutral. This framework offers a versatile model for expressing complex interactions, providing a more realistic and comprehensive portrayal of relationships in diverse application.