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Proof Theory for Fuzzy Logics (Applied Logic Series, 36),Used
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Fuzzy logics are manyvalued 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 uptodate introduction to this fastgrowing and increasingly popular area. It focuses in particular on the development and applications of "prooftheoretic" 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, prooftheoretic methods are useful for addressing theoretical problems (including key standard completeness results) and developing efficient deduction and decision algorithms. Prooftheoretic presentations also place fuzzy logics in the broader landscape of nonclassical 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 prooftheoretic presentations such as Hilbert and Gentzen systems, introducing both theoretical and practical applications of these presentations.
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