Associativity of a two place functionT (x, y) = f (−1)(f (x) + f (y)) wheref : [0,1] → [0,∞] is a strictly monotone function and f (−1) : [0,∞] → [0,1] is the pseudo-inverse of f depends only on properties of the range of f. The following question is answered: what property of the range of an additive generator f is necessary and sufficient for associativity of the corresponding generated function T? We also introduce the characterization of all additive generatorsf of Twith propertyT (. . . T… CONTINUE READING

Non-continuous additive generators of triangular norms, Ph.D. Thesis, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology, Bratislava

P. Viceník

2002

3 Excerpts

Some constructions of non-continuous additive generators of triangular norms

P. Viceník

in: M. Komorníková, R. Mesiar (Eds.), Proceedings…

2001

3 Excerpts

Additive generators of triangular norms with an infinite set of discontinuity points