On a class of generated triangular norms and their isomorphisms

Abstract

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 point 1 (0) generate the isomorphic border-continuous triangular norms (conorms). The conditions are expressed in terms of ranges of additive generators. © 2010 Elsevier B.V. All rights reserved.

DOI: 10.1016/j.fss.2010.01.001

Cite this paper

@article{Vicenk2010OnAC, title={On a class of generated triangular norms and their isomorphisms}, author={Peter Vicen{\'i}k}, journal={Fuzzy Sets and Systems}, year={2010}, volume={161}, pages={1448-1458} }