On continuous triangular norms that are migrative

Authors:
J. Fodor;I. J. Rudas
Affiliations:
Institute of Intelligent Engineering Systems, Budapest Tech, Bécsi út 96/b, H-1034 Budapest, Hungary;Institute of Intelligent Engineering Systems, Budapest Tech, Bécsi út 96/b, H-1034 Budapest, Hungary
Venue:
Fuzzy Sets and Systems
Year:
2007

Citing 3
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Abstract

In this paper we completely describe all continuous migrative triangular norms. Since the migrative property excludes both idempotent and nilpotent classes, the characterization and construction is carried out by solving a functional equation for additive generators of strict t-norms. We also study cases when the construction results in a smooth generator.