A theorem on implication functions defined from triangular norms.

Didier Dubois; Henri Prade

Stochastica (1984)

  • Volume: 8, Issue: 3, page 267-279
  • ISSN: 0210-7821

Abstract

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Several transformation which enable implication functions in multivalued logics to be generated from conjunctions have been proposed in the literature. It is proved that for a rather general class of conjunctions modeled by triangular norms, the generation process is closed, thus shedding some light on the relationships between seemingly independent classes of implication functions.

How to cite

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Dubois, Didier, and Prade, Henri. "A theorem on implication functions defined from triangular norms.." Stochastica 8.3 (1984): 267-279. <http://eudml.org/doc/38912>.

@article{Dubois1984,
abstract = {Several transformation which enable implication functions in multivalued logics to be generated from conjunctions have been proposed in the literature. It is proved that for a rather general class of conjunctions modeled by triangular norms, the generation process is closed, thus shedding some light on the relationships between seemingly independent classes of implication functions.},
author = {Dubois, Didier, Prade, Henri},
journal = {Stochastica},
keywords = {Conjuntos difusos; Lógica difusa; Norma triangular; general class of conjunctions},
language = {eng},
number = {3},
pages = {267-279},
title = {A theorem on implication functions defined from triangular norms.},
url = {http://eudml.org/doc/38912},
volume = {8},
year = {1984},
}

TY - JOUR
AU - Dubois, Didier
AU - Prade, Henri
TI - A theorem on implication functions defined from triangular norms.
JO - Stochastica
PY - 1984
VL - 8
IS - 3
SP - 267
EP - 279
AB - Several transformation which enable implication functions in multivalued logics to be generated from conjunctions have been proposed in the literature. It is proved that for a rather general class of conjunctions modeled by triangular norms, the generation process is closed, thus shedding some light on the relationships between seemingly independent classes of implication functions.
LA - eng
KW - Conjuntos difusos; Lógica difusa; Norma triangular; general class of conjunctions
UR - http://eudml.org/doc/38912
ER -

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