Erich Klement, Radko Mesiar, Endre Pap,
"Triangular norms. Position paper III: Continuous t-norms"
, in Fuzzy Sets and Systems, Vol. 145, Seite(n) 439-454, 2004, ISSN: 0165-0114
Original Titel:
Triangular norms. Position paper III: Continuous t-norms
Sprache des Titels:
Englisch
Original Kurzfassung:
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, also FLLL-TR-0208) and E. P. Klement, R. Mesiar, E. Pap, Triangular norms. Position paper I: Basic analytical and
algebraic properties. Submitted for publication (FLLL-TR-0208)) 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.
Forschungs-