On some constructions of new triangular norms.

Mesiar, Radko. "On some constructions of new triangular norms.." Mathware and Soft Computing 2.1 (1995): 39-45. <http://eudml.org/doc/39029>.

@article{Mesiar1995,
abstract = {We discuss the properties of two types of construction of a new t-norm from a given t-norm proposed recently by B. Demant, namely the dilatation and the contraction. In general, the dilatation of a t-norm is an ordinal sum t-norm and the continuity of the outgoing t-norm is preserved. On the other hand, the contraction may violate the continuity as well as the non-continuity of the outgoing t-norm. Several examples are given.},
author = {Mesiar, Radko},
journal = {Mathware and Soft Computing},
keywords = {Norma triangular; Conjuntos difusos; Espacios métricos; Espacios probabilísticos; ordinal sum; triangular norm; -norm; dilatation; contraction},
language = {eng},
number = {1},
pages = {39-45},
title = {On some constructions of new triangular norms.},
url = {http://eudml.org/doc/39029},
volume = {2},
year = {1995},
}

TY - JOUR
AU - Mesiar, Radko
TI - On some constructions of new triangular norms.
JO - Mathware and Soft Computing
PY - 1995
VL - 2
IS - 1
SP - 39
EP - 45
AB - We discuss the properties of two types of construction of a new t-norm from a given t-norm proposed recently by B. Demant, namely the dilatation and the contraction. In general, the dilatation of a t-norm is an ordinal sum t-norm and the continuity of the outgoing t-norm is preserved. On the other hand, the contraction may violate the continuity as well as the non-continuity of the outgoing t-norm. Several examples are given.
LA - eng
KW - Norma triangular; Conjuntos difusos; Espacios métricos; Espacios probabilísticos; ordinal sum; triangular norm; -norm; dilatation; contraction
UR - http://eudml.org/doc/39029
ER -