The paper introduces a general axiomatic notion of approximation mapping, a mapping that associates to each crisp proposition p a fuzzy set representing approximately p. It is shown how it can be obtained through fuzzy relations, which are at least reflexive. We study the corresponding multi-modal systems depending on the properties satisfied by the approximate relation. Finally, we show some equivalences between possibilistic logical consequences and global/local logical consequences in the multi-modal systems.
@article{urn:eudml:doc:39131,
title = {Fuzzy approximation relations, modal structures and possibilistic logic.},
journal = {Mathware and Soft Computing},
volume = {5},
year = {1998},
pages = {151-166},
zbl = {0957.68111},
mrnumber = {MR1704063},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39131}
}
Esteva, Francesc; García, Pere; Godo, Lluis.; Rodríguez, Ricardo O. Fuzzy approximation relations, modal structures and possibilistic logic.. Mathware and Soft Computing, Tome 5 (1998) pp. 151-166. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39131/