Abstract:The intuitionistic fuzzy inference(1,2,2)-a type universal triple I methods based on intuitionistic fuzzy set are discussed,the expression form and decomposition form of solutions of intuitionistic fuzzy inference(1,2,2)-a type universal triple methods based on IFMP and IFMT problems are given.Then,based on the natural distances between intuitionistic fuzzy sets,the sensitivity of intuitionistic fuzzy connectives and intuitionistic fuzzy sets are defined,the sensitivity of intuitionistic Lukasiewicz implication,intuitionistic Gödel implication and their corresponding triangular norm are provided.On this basis,it is proved that intuitionistic Lukasiewicz implication is the most robust residual implication on intuitionistic fuzzy sets.Finally,robustness of intuitionistic fuzzy inference(1,2,2)-a type universal triple I methods are investigated,corresponding sensitivity of solutions of intuitionistic fuzzy inference type universal triple methods are obtained for two kinds of specific implications.These results indicated that the robustness of intuitionistic fuzzy inference methods directly depended on the selection of intuitionistic fuzzy connectives.
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