Robustness on the class of fuzzy difference operators

Abstract

This paper extends the robustness analysis of the fuzzy connectives based on the pointwise sensitivity of such operators. Starting with an evaluation of the sensitivity in fuzzy negations, triangular norms and conorms, we apply the results in the class of fuzzy difference operators and their dual construction. The paper formally states that the robustness preserves the projection functions related to fuzzy (co)difference operators.