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On continuous triangular norms that are migrative

TitleOn continuous triangular norms that are migrative
Publication TypeJournal Article
Year of Publication2007
AuthorsFodor, J., and I. J. Rudas
JournalFUZZY SETS AND SYSTEMS
Volume158
Pagination1692 - 1697
Date Published2007
Publication Languageeng
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. (c) 2007 Elsevier B.V All rights reserved.