A characterization theorem on the rotation construction for triangular norms

Authors:
Sándor Jenei
Affiliations:
Institute of Mathematics and Informatics, University of Pécs, Ifjúság u. 6, H-7624 Pécs, Hungary
Venue:
Fuzzy Sets and Systems - Theme: Basic concepts
Year:
2003

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Abstract

The rotation construction for t-norms is introduced in (J. Appl. Non-Classical Logics 10 (2000) 83-92). In the present paper we characterize the widest class of operators with which the rotation construction results in left-continuous t-norms with involutive associated negations.