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Opis

This book presents the first algebraic treatment of quasi-truth fuzzy§logic and covers the algebraic foundations of many-valued logic. It§offers a comprehensive account of basic techniques and reports on important§results showing the pivotal role played by perfect many-valued algebras§(MV-algebras). It is well known that the first-order predicate Lukasiewicz§logic is not complete with respect to the canonical set of truth values. However, it is complete with respect to all§linearly ordered MV -algebras. As there are no simple linearly ordered§MV-algebras in this case, infinitesimal elements of an MV-algebra are allowed§to be truth values. The book presents perfect algebras as an interesting§subclass of local MV-algebras and provides readers with the necessary knowledge§and tools for formalizing the fuzzy concept of quasi true and quasi false. All§basic concepts are introduced in detail to promote a better understanding of§the more complex ones. It is an advanced and inspiring reference-guide for§graduate students and researchers in the field of non-classical many-valued§logics.§

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Mathematical foundations

• Pełny tytuł: Fuzzy Logic of Quasi-Truth: An Algebraic Treatment
• Autor: Antonio Di Nola, Revaz Grigolia, Esko Turunen
• Język: Angielski
• Oprawa: Twarda
• Liczba stron: 116
• EAN: 9783319304045
• ISBN: 3319304046
• ID: 02917809
• Wydawca: Springer International Publishing AG
• Waga: 342 g
• Wymiary: 162 × 244 × 15 mm
• Data wydania: 19. March 2016

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