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Book
Fuzzy Logic of Quasi-Truth: An Algebraic Treatment
Authors: --- ---
ISBN: 3319304046 3319304062 Year: 2016 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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Abstract

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 Łukasiewicz 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.


Digital
Fuzzy Logic of Quasi-Truth: An Algebraic Treatment
Authors: --- ---
ISBN: 9783319304069 Year: 2016 Publisher: Cham Springer International Publishing

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Abstract

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 Łukasiewicz 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.


Book
Cronica Francescana della riformata provincia di Napoli detta di terra di lavoro : nella quale si contengono le vite di molti religiosi insigni, ed illustri della medesima provincia, e di molte religiose del Terz'Ordine
Authors: --- ---
Year: 1718 Publisher: In Napoli: per Paolo Severino,

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Abstract

Fuzzy relation equations and their applications to knowledge engineering
Authors: --- --- --- ---
ISBN: 0792303075 9048140501 9401716501 Year: 1989 Publisher: Dordrecht Kluwer Academic Publishers

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