Robustness of reverse triple I algorithms based on interval-valued fuzzy inference

•A new kind of full implication [α,βα,β]-reverse triple I algorithm based on interval-valued fuzzy set is proposed.•The R-type [α,βα,β]-reverse triple I solutions based on interval-valued fuzzy inference for the both model of IFMP and IFMT are given.•The reverse triple I algorithms based on interval-valued fuzzy set are robust.•The sensitivities of reverse triple I algorithms based on three important interval-valued residuated implications are given.•The robustness of interval-valued reverse triple I algorithms is directly linked to the selection of fuzzy connectives.

In this paper, the robustness of reverse triple I algorithms based on interval-valued fuzzy inference is discussed. As corollaries of the main results, the sensitivities of interval-valued RR-type [α,β][α,β]-reverse triple I solutions based on three well-known interval-valued residuated implication operators are given.