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

C. Alcalde, Ana Burusco Juandeaburre , R. Fuentes-González

• 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.