Robustness of N-dual fuzzy connectives

Abstract

The main contribution of this paper is concerned with the robustness of N-dual connectives in fuzzy reasoning. Starting with an evaluation of the sensitivity in n-order function on [0,1], we apply the results in the D-coimplication classes. The paper formally states that the robustness of pairs of mutual dual n-order functions can be compared, preserving properties and the ordered relation of their arguments. © 2011 Springer-Verlag Berlin Heidelberg.