Robustness of interval-valued fuzzy inference triple I algorithms based on normalized Minkowski distance

•The sensitivity interval-valued fuzzy connectives are proposed.•The perturbation of interval-valued fuzzy sets based on normalized Minkowski distance in Hausdorff metrics is introduced.•The maximum sensitivity of three typical interval-valued t-norms and the corresponding implications are given.•The robustness of interval-valued fuzzy inference triple I algorithms is investigated.

In this paper, we introduce the sensitivity of interval-valued fuzzy connectives and perturbation of interval-valued fuzzy sets based on normalized Minkowski distance in Hausdorff metrics. And then we calculate sensitivity of three typical interval-valued fuzzy connectives. The robustness of interval-valued fuzzy inference triple I algorithms is investigated.