Kybernetika 45 no. 3, 541-547, 2009

A Note About Operations Like TW (the Weakest t-Norm) Based Addition on Fuzzy Intervals

Dug Hun Hong


We investigate a relation about subadditivity of functions. Based on subadditivity of functions, we consider some conditions for continuous $t$-norms to act as the weakest $t$-norm $T_W$-based addition. This work extends some results of Marková-Stupňanová [15], Mesiar [18].


triangular norms, fuzzy arithmetics, fuzzy intervals


93E12, 62A10, 62F15