Fuzzy relation equations under LSC and USC t-norms and their Boolean solutions.
Stochastica, Tome 11 (1987) no. 2-3, p. 151.
Voir la notice de l'article dans European Digital Mathematics Library
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.
Classification :
94D05, 03E72, 03E99
Mots-clés : Ecuaciones difusas, Norma triangular, LSC and USC t-norm, lower and upper solutions, Boolean solutions, fuzzy equation, triangular norm
Mots-clés : Ecuaciones difusas, Norma triangular, LSC and USC t-norm, lower and upper solutions, Boolean solutions, fuzzy equation, triangular norm
@article{STO_1987__11_2-3_38986, author = {Antonio Di Nola and Witold Pedrycz and Salvatore Sessa}, title = {Fuzzy relation equations under {LSC} and {USC} t-norms and their {Boolean} solutions.}, journal = {Stochastica}, pages = {151}, publisher = {mathdoc}, volume = {11}, number = {2-3}, year = {1987}, mrnumber = {MR0990883}, zbl = {0673.04003}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/STO_1987__11_2-3_38986/} }
TY - JOUR AU - Antonio Di Nola AU - Witold Pedrycz AU - Salvatore Sessa TI - Fuzzy relation equations under LSC and USC t-norms and their Boolean solutions. JO - Stochastica PY - 1987 SP - 151 VL - 11 IS - 2-3 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/STO_1987__11_2-3_38986/ LA - en ID - STO_1987__11_2-3_38986 ER -
%0 Journal Article %A Antonio Di Nola %A Witold Pedrycz %A Salvatore Sessa %T Fuzzy relation equations under LSC and USC t-norms and their Boolean solutions. %J Stochastica %D 1987 %P 151 %V 11 %N 2-3 %I mathdoc %U https://geodesic-test.mathdoc.fr/item/STO_1987__11_2-3_38986/ %G en %F STO_1987__11_2-3_38986
Antonio Di Nola; Witold Pedrycz; Salvatore Sessa. Fuzzy relation equations under LSC and USC t-norms and their Boolean solutions.. Stochastica, Tome 11 (1987) no. 2-3, p. 151. https://geodesic-test.mathdoc.fr/item/STO_1987__11_2-3_38986/