Algebraic study of axiomatic extensions of triangular norm based fuzzy logics
According to the Zadeh{u2019}s famous distinction, Fuzzy Logic in narrow sense, as opposed to Fuzzy Logic in broad sense, is the study of logical systems aiming at a formalization of approximate reasoning. In the systems commonly used the strong conjunction connective is interpreted by a triangular...
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Bellaterra :
Consejo Superior de Investigaciones Científicas
2007.
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| Colección: | Monografies de l'Institut d'Investigació en Intel-ligencia Artificial.
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| Materias: | |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b33070490*spi |
| Sumario: | According to the Zadeh{u2019}s famous distinction, Fuzzy Logic in narrow sense, as opposed to Fuzzy Logic in broad sense, is the study of logical systems aiming at a formalization of approximate reasoning. In the systems commonly used the strong conjunction connective is interpreted by a triangular norm (t-norm, for short) while the implication connective is interpreted by its residuum. Therefore, the usual logical systems for Fuzzy Logic are based on t-norms with a residuum. The necessary and sufficient condition for a t-norm to have a residuum is the left-continuity. In order to define the based t-norm based fuzzy logic, Esteva and Godo introduced the system MTL, which was indeed proved to be complete with respect to the semantics given by all left-continuous t-norms and their residua. |
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| Descripción Física: | XVI, 192 p. : il., gráf |
| Formato: | Forma de acceso: World Wide Web. |
| ISBN: | 9788400085384 |
