# On some constructions of new triangular norms.

Mathware and Soft Computing (1995)

- Volume: 2, Issue: 1, page 39-45
- ISSN: 1134-5632

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topMesiar, 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 -

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