Fuzzy Logic of Quasi-Truth: An Algebraic Treatment (Hardcover, 1st ed. 2016)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Studies in Fuzziness and Soft Computing, 338
Release date:	March 2016
First published:	2016
Authors:	Antonio Di Nola • Revaz Grigolia • Esko Turunen
Dimensions:	235 x 155 x 15mm (L x W x T)
Format:	Hardcover
Pages:	116
Edition:	1st ed. 2016
ISBN-13:	978-3-319-30404-5
Categories:	Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic Books > Computing & IT > Applications of computing > Artificial intelligence > General
LSN:	3-319-30404-6
Barcode:	9783319304045

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