In this paper, a new characterization for the interval-valued residuated fuzzy implication operators is presented, with which it is possible to use them in a simple and efficient way, since the calculation of the values of an intervalvalued implication applicated to two intervals is reduced to the study of a fuzzy implication applicated to the extremes of these intervals. This result is very important in order to extract knowledge from an L-fuzzy context with incomplete information. Finally, some examples of interval-valued residuated fuzzy implications built by this constructive method and some properties are shown.
@article{urn:eudml:doc:40865,
title = {A characterization for residuated implications on the set of all the closed intervals in J[0,1]. Application to the L-fuzzy concept theory.},
journal = {Mathware and Soft Computing},
volume = {12},
year = {2005},
pages = {155-167},
zbl = {1093.68109},
mrnumber = {MR2199810},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40865}
}
Alcalde, Cristina; Burusco, Ana; Fuentes-González, Ramón. A characterization for residuated implications on the set of all the closed intervals in J[0,1]. Application to the L-fuzzy concept theory.. Mathware and Soft Computing, Tome 12 (2005) pp. 155-167. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40865/