Fuzzy logics are many-valued logics that are well suited to reasoning in the context of vagueness. They provide the basis for the wider field of Fuzzy Logic, encompassing diverse areas such as fuzzy control, fuzzy databases, and fuzzy mathematics. This book provides an accessible and up-to-date introduction tothis fast-growing and increasingly popular area. It focuses in particular on the development and applications of proof-theoretic presentations of fuzzy logics; the result of more than ten years of intensive work by researchers in thearea, including the authors. In addition to providing alternative elegant presentations of fuzzy logics, proof-theoretic methods are useful for addressing theoretical problems (including key standard completeness results) and developing efficient deduction and decision algorithms. Provides a state-of-the-art introduction to fuzzy logics that is both accessible to researchers and students, and comprehensive, being the first book to take into account the many developments in the field of the past ten years Is the first book on proof theory for fuzzy logics, collecting together in one uniform and coherent presentation,previously widely dispersed results, methods, and applications in this area INDICE: 1. Introduction.- 2. The Semantic Basis.- 3. Hilbert Systems.- 4. Gentzen Systems.- 5. Syntactic Eliminations.- 6. Fundamental Logics.- 7. Uniformity and Efficiency.- 8. First-Order Logics.- 9. Further Topics.- References.- Index.
- ISBN: 978-1-4020-9408-8
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 285
- Fecha Publicación: 01/01/2009
- Nº Volúmenes: 1
- Idioma: Inglés