| 书目名称 | Proof Theory for Fuzzy Logics | | 编辑 | George Metcalfe,Nicola Olivetti,Dov Gabbay | | 视频video | | | 概述 | 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 | | 丛书名称 | Applied Logic Series | | 图书封面 |  | | 描述 | .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 to this 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 the area, 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. Proof-theoretic presentations also place fuzzy logics in the broader landscape of non-classical logics, revealing deep relations with other logics studied in Computer Science, Mathematics, and Philosophy. The book builds methodically from the semantic origins of fuzzy logics to proof-theoretic presentations such as Hilbert and Gentzen systems, introducing both theore | | 出版日期 | Book 2009 | | 关键词 | Addition; Fuzzy mathematics; Gentzen; Hilbert; Many valued logics; Ordered algebraic structures; Proof the | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4020-9409-5 | | isbn_softcover | 978-90-481-8121-6 | | isbn_ebook | 978-1-4020-9409-5Series ISSN 1386-2790 | | issn_series | 1386-2790 | | copyright | Springer Science+Business Media B.V. 2009 |
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发表于 2025-3-21 17:09:09
