Aggregation, Non-Contradiction and Excluded-Middle.

Ana Pradera; Enric Trillas

Mathware and Soft Computing (2006)

  • Volume: 13, Issue: 3, page 189-201
  • ISSN: 1134-5632

Abstract

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This paper investigates the satisfaction of the Non-Contradiction (NC) and Excluded-Middle (EM) laws within the domain of aggregation operators. It provides characterizations both for those aggregation operators that satisfy NC/EM with respect to (w.r.t.) some given strong negation, as well as for those satisfying them w.r.t. any strong negation. The results obtained are applied to some of the most important known classes of aggregation operators.

How to cite

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Pradera, Ana, and Trillas, Enric. "Aggregation, Non-Contradiction and Excluded-Middle.." Mathware and Soft Computing 13.3 (2006): 189-201. <http://eudml.org/doc/41882>.

@article{Pradera2006,
abstract = {This paper investigates the satisfaction of the Non-Contradiction (NC) and Excluded-Middle (EM) laws within the domain of aggregation operators. It provides characterizations both for those aggregation operators that satisfy NC/EM with respect to (w.r.t.) some given strong negation, as well as for those satisfying them w.r.t. any strong negation. The results obtained are applied to some of the most important known classes of aggregation operators.},
author = {Pradera, Ana, Trillas, Enric},
journal = {Mathware and Soft Computing},
keywords = {Lógica difusa; Agregación},
language = {eng},
number = {3},
pages = {189-201},
title = {Aggregation, Non-Contradiction and Excluded-Middle.},
url = {http://eudml.org/doc/41882},
volume = {13},
year = {2006},
}

TY - JOUR
AU - Pradera, Ana
AU - Trillas, Enric
TI - Aggregation, Non-Contradiction and Excluded-Middle.
JO - Mathware and Soft Computing
PY - 2006
VL - 13
IS - 3
SP - 189
EP - 201
AB - This paper investigates the satisfaction of the Non-Contradiction (NC) and Excluded-Middle (EM) laws within the domain of aggregation operators. It provides characterizations both for those aggregation operators that satisfy NC/EM with respect to (w.r.t.) some given strong negation, as well as for those satisfying them w.r.t. any strong negation. The results obtained are applied to some of the most important known classes of aggregation operators.
LA - eng
KW - Lógica difusa; Agregación
UR - http://eudml.org/doc/41882
ER -

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