On functions that cannot be mv-truth values in algebraic structures.
Trillas, Enric
Stochastica, Tome 12 (1988), p. 223-227 / Harvested from Biblioteca Digital de Matemáticas
Access to full text

It is shown, in a general frame and playing with idempotency, that in order to have on a given lattice a Multiple Valued Logic preserving the lattice structure, the only t-norms and t-conorms allowing to modelize the truth values of a v b, a ^ b and a --> b are Min and Max, respectively, apart from ordinal sums.

Publié le : 1988-01-01
DMLE-ID : 1765 
@article{urn:eudml:doc:39001,
     title = {On functions that cannot be mv-truth values in algebraic structures.},
     journal = {Stochastica},
     volume = {12},
     year = {1988},
     pages = {223-227},
     zbl = {0693.03043},
     mrnumber = {MR1024760},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39001}
}

Trillas, Enric. On functions that cannot be mv-truth values in algebraic structures.. Stochastica, Tome 12 (1988) pp. 223-227. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39001/