A characterization for residuated implications on J [0, 1]. Application to the L-fuzzy concept theory.
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...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2005 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2099/1829 |
| Acceso en línea: | https://hdl.handle.net/2099/1829 |
| Access Level: | acceso abierto |
| Palabra clave: | Interval-valued fuzzy implication operator Fuzzy implication operator Fuzzy R-implication L-Fuzzy concept theory Conjunts, Teoria de Classificació AMS::03 Mathematical logic and foundations::03E Set theory |
| Sumario: | 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. |
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