A characterization for residuated implications on the set of all the closed intervals in J[0,1]. Application to the L-fuzzy concept theory.

Alcalde, Cristina, Burusco, Ana, and 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 12.2-3 (2005): 155-167. <http://eudml.org/doc/40865>.

@article{Alcalde2005,
abstract = {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.},
author = {Alcalde, Cristina, Burusco, Ana, Fuentes-González, Ramón},
journal = {Mathware and Soft Computing},
keywords = {Lógica difusa; Operadores difusos; fuzzy implication operators},
language = {eng},
number = {2-3},
pages = {155-167},
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.},
url = {http://eudml.org/doc/40865},
volume = {12},
year = {2005},
}

TY - JOUR
AU - Alcalde, Cristina
AU - Burusco, Ana
AU - Fuentes-González, Ramón
TI - A characterization for residuated implications on the set of all the closed intervals in J[0,1]. Application to the L-fuzzy concept theory.
JO - Mathware and Soft Computing
PY - 2005
VL - 12
IS - 2-3
SP - 155
EP - 167
AB - 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.
LA - eng
KW - Lógica difusa; Operadores difusos; fuzzy implication operators
UR - http://eudml.org/doc/40865
ER -