Robustness of interval-valued universal triple I algorithms1

Abstract

In this paper, the interval-valued triple I algorithms based on two inference models, i.e. fuzzy modus ponens and fuzzy modus tollens, are extended to the (1,2,1)-type universal triple I algorithms. The corresponding (1,2,1)-type universal triple I solutions are given. Moreover, the robustness of interval-valued (1,2,1)-type universal triple I algorithms are studied. As the corollaries of the main results, the sensitivity of (α, β)-(1,2,1)-type universal triple I solutions based on interval-valued Lukasiewicz implication and R0 implication are given. In particularly, the sensitivity of α-(1,2,1)-type universal triple I methods based on classical sets are given.