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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.
Janos Fodor, Imre J. Rudas
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Triangular norms. Position paper III: continuous t-norms
Fuzzy Sets and Systems, 2004This third part of a series of position papers on triangular norms (i.e., associative, commutative binary operations in the unit interval which are non-decreasing and have 0 as a null element and 1 as a unit) receives well-known results on the representation of continuous Archimedean t-norms by means of additive generators, and the representation of ...
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