The characterization of all additive generators of border-continuous triangular norms (conorms) is introduced. It is also shown that the pseudo-inverse of the Cantor function is an additive generator… (More)

Associativity of a two place function T (x, y) = f (−1)(f (x) + f (y)) where f : [0, 1] → [0,∞] is a strictly monotone function andf (−1) : [0,∞] → [0, 1] is the pseudo-inverse of f depends only on… (More)

The structure of cancellative t-norms is studied. It is shown that a cancellative tnorm is generated if and only if it has no anomalous pair, and then it is Archimedean. Moreover, if it is also… (More)

We introduce the conditions under which two strictly decreasing (increasing) additive generators of border-continuous triangular norms (conorms) which are continuous on some neighbourhood of the… (More)