Elsevier

Fuzzy Sets and Systems

Volume 161, Issue 10, 16 May 2010, Pages 1448-1458
Fuzzy Sets and Systems

On a class of generated triangular norms and their isomorphisms

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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.

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