On functions that cannot be mv-truth values in algebraic structures.

Trillas, Enric. "On functions that cannot be mv-truth values in algebraic structures.." Stochastica 12.2-3 (1988): 223-227. <http://eudml.org/doc/39001>.

@article{Trillas1988,
abstract = {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 --&gt; b are Min and Max, respectively, apart from ordinal sums.},
author = {Trillas, Enric},
journal = {Stochastica},
keywords = {Retículos; Algebras; Lógica; idempotency; lattice structure; t-norms; t-conorms},
language = {eng},
number = {2-3},
pages = {223-227},
title = {On functions that cannot be mv-truth values in algebraic structures.},
url = {http://eudml.org/doc/39001},
volume = {12},
year = {1988},
}

TY - JOUR
AU - Trillas, Enric
TI - On functions that cannot be mv-truth values in algebraic structures.
JO - Stochastica
PY - 1988
VL - 12
IS - 2-3
SP - 223
EP - 227
AB - 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 --&gt; b are Min and Max, respectively, apart from ordinal sums.
LA - eng
KW - Retículos; Algebras; Lógica; idempotency; lattice structure; t-norms; t-conorms
UR - http://eudml.org/doc/39001
ER -