A note on the value similarity of fuzzy systems variables
Fuzzy Sets and Systems
Contrapositive symmetry of fuzzy implications
Fuzzy Sets and Systems
Continuity in Zadeh's compositional rule of inference
Fuzzy Sets and Systems
Correct models of fuzzy IF--THEN rules are continuous
Fuzzy Sets and Systems
Unified forms of Triple I method
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Differently implicational universal triple I method of (1, 2, 2) type
Computers & Mathematics with Applications
Perturbation of fuzzy sets and fuzzy reasoning based on normalized Minkowski distances
Fuzzy Sets and Systems
Triple I algorithms based on Schweizer--Sklar operators in fuzzy reasoning
International Journal of Approximate Reasoning
Robustness analysis of full implication inference method
International Journal of Approximate Reasoning
On robustness of the full implication triple I inference method with respect to finer measurements
International Journal of Approximate Reasoning
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This paper focuses on the continuity problem of fully implicational triple I methods for fuzzy reasoning. Based on the residual implications generated by continuous triangular norms, the residual implication generated by nilpotent minimum with the standard negation and the Zadeh implication, respectively, continuity and uniform continuity properties of triple I methods are examined in Hamming and uniform metrics. We also investigate the continuity of the model of a fuzzy if-then rule corresponding to the triple I methods.