A characterization for residuated implications on J [0, 1]. Application to the L-fuzzy concept theory.

Alcalde, Maria Cristina; Burusco Juandeaburre, Ana; Fuentes-González, Ramón

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Alcalde, Maria Cristina

Burusco Juandeaburre, Ana

Fuentes-González, Ramón

Document typeArticle

Date issued2005

PublisherUniversitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica

Rights accessOpen Access

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 interval-valued 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.

URIhttp://hdl.handle.net/2099/1829

ISSN1134-5632

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Mathware & soft computing - 2005, Vol. XII, Núm. 2-3 [11]

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