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https://open.uns.ac.rs/handle/123456789/15577
Title: | Triangular norms. Position paper III: Continuous t-norms | Authors: | Klement E. Mesiar R. Pap E. |
Issue Date: | 1-Aug-2004 | Journal: | Fuzzy Sets and Systems | Abstract: | This third and last part of a series of position papers on triangular norms (for Parts I and II see (E.P. Klement, R. Mesiar, E. Pap, Triangular norms, Position paper I: basic analytical and algebraic properties, Fuzzy Sets and Systems, in press; E.P. Klement, R. Mesiar, E. Pap, Triangular norms. Position paper II: general constructions and parameterized families, submitted for publication) presents the representation of continuous Archimedean t-norms by means of additive generators, and the representation of continuous t-norms by means of ordinal sums with Archimedean summands, both with full proofs. Finally some consequences of these representation theorems in the context of comparison and convergence of continuous t-norms, and of the determination of continuous t-norms by their diagonal sections are mentioned. © 2003 Elsevier B.V. All rights reserved. | URI: | https://open.uns.ac.rs/handle/123456789/15577 | ISSN: | 01650114 | DOI: | 10.1016/S0165-0114(03)00304-X |
Appears in Collections: | PMF Publikacije/Publications |
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