Erich Klement, Radko Mesiar, Endre Pap,
"Archimedean components of triangular norms"
, in J. Aust. Math. Soc., Vol. 78, Seite(n) 239-255, 2005
Original Titel:
Archimedean components of triangular norms
Sprache des Titels:
Englisch
Original Kurzfassung:
The Archimedean components of triangular norms (which
turn the closed unit interval into an abelian, totally
ordered semigroup with neutral element 1) are
studied, in particular their extension to triangular
norms, and some construction methods for Archimedean
components are given. The triangular norms which are
uniquely determined by their Archimedean components
are characterized. Using ordinal sums and additive
generators, new types of left-continuous triangular
norms are constructed.
Sprache der Kurzfassung:
Englisch
Englischer Titel:
Archimedean components of triangular norms
Englische Kurzfassung:
The Archimedean components of triangular norms (which
turn the closed unit interval into an abelian, totally
ordered semigroup with neutral element 1) are
studied, in particular their extension to triangular
norms, and some construction methods for Archimedean
components are given. The triangular norms which are
uniquely determined by their Archimedean components
are characterized. Using ordinal sums and additive
generators, new types of left-continuous triangular
norms are constructed.
Forschungs-