Residual Implication of Interval-Valued Intuitionistic Fuzzy Triangle Norm and Its Properties

This article extends the Residual Implication of Interval-valued intuitionistic Fuzzy Triangular Norms to Interval-Valued Intuitionistic Fuzzy Sets, and defines the Residual Implication of Interval-valued intuitionistic Fuzzy Triangular Norms. Based on definition, it derives the relationship between the residual implications of Interval-Valued Intuitionistic Fuzzy triangular norms and triangular norms and proves that for the Interval-valued intuitionistic Fuzzy sets, the 16 basic characters of intuitionistic Fuzzy Triangular Norms in reference are still tenable, which further enrich the theory research of Interval-valued intuitionistic Fuzzy reasoning and swarm decision.