Fuzzy relation equations under LSC and USC t-norms and their Boolean solutions.

Di Nola, Antonio, Pedrycz, Witold, and Sessa, Salvatore. "Fuzzy relation equations under LSC and USC t-norms and their Boolean solutions.." Stochastica 11.2-3 (1987): 151-183. <http://eudml.org/doc/38986>.

@article{DiNola1987,
abstract = {This paper follows a companion paper (Stochastica 8 (1984), 99-145) in which we gave the state of the art of the theory of fuzzy relation equations under a special class of triangular norms. Here we continue this theory establishing new results under lower and upper semicontinuous triangular norms and surveying on the main theoretical results appeared in foregoing papers. Max-t fuzzy equations with Boolean solutions are recalled and studied. Many examples clarify the results established.},
author = {Di Nola, Antonio, Pedrycz, Witold, Sessa, Salvatore},
journal = {Stochastica},
keywords = {Ecuaciones difusas; Norma triangular; LSC and USC t-norm; lower and upper solutions; Boolean solutions; fuzzy equation; triangular norm},
language = {eng},
number = {2-3},
pages = {151-183},
title = {Fuzzy relation equations under LSC and USC t-norms and their Boolean solutions.},
url = {http://eudml.org/doc/38986},
volume = {11},
year = {1987},
}

TY - JOUR
AU - Di Nola, Antonio
AU - Pedrycz, Witold
AU - Sessa, Salvatore
TI - Fuzzy relation equations under LSC and USC t-norms and their Boolean solutions.
JO - Stochastica
PY - 1987
VL - 11
IS - 2-3
SP - 151
EP - 183
AB - This paper follows a companion paper (Stochastica 8 (1984), 99-145) in which we gave the state of the art of the theory of fuzzy relation equations under a special class of triangular norms. Here we continue this theory establishing new results under lower and upper semicontinuous triangular norms and surveying on the main theoretical results appeared in foregoing papers. Max-t fuzzy equations with Boolean solutions are recalled and studied. Many examples clarify the results established.
LA - eng
KW - Ecuaciones difusas; Norma triangular; LSC and USC t-norm; lower and upper solutions; Boolean solutions; fuzzy equation; triangular norm
UR - http://eudml.org/doc/38986
ER -