A characterization for residuated implications on the set of all the closed intervals in J[0,1]: application to the L-fuzzy concept theory
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Autores: C. Alcalde, Ana Burusco Juandeaburre
, R. Fuentes-González
- Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 12, Nº. 3, 2005, págs. 155-167
- Idioma: inglés
- Títulos paralelos:
- Una caracterización para las implicaciones residuadas en el conjunto de todos los intervalos cerrados en J[0,1]: aplicación a la teoría de conceptos L-difusos
- Enlaces
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Resumen
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.
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