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.
@article{urn:eudml:doc:41882,
title = {Aggregation, Non-Contradiction and Excluded-Middle.},
journal = {Mathware and Soft Computing},
volume = {13},
year = {2006},
pages = {189-201},
zbl = {1122.68128},
mrnumber = {MR2321602},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41882}
}
Pradera, Ana; Trillas, Enric. Aggregation, Non-Contradiction and Excluded-Middle.. Mathware and Soft Computing, Tome 13 (2006) pp. 189-201. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41882/