Hidden Bibliographic Details
| Other authors / contributors: | Grigolia, Revaz, author.
Turunen, Esko, 1955- author.
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| ISBN: | 9783319304069
3319304062
3319304046
9783319304045
9783319304045
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| Digital file characteristics: | text file
PDF
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| Notes: | Includes bibliographical references and index.
English.
Online resource; title from PDF title page (SpringerLink, viewed March 23, 2016).
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| Summary: | 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.
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| Other form: | Printed edition: 9783319304045
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| Standard no.: | 10.1007/978-3-319-30406-9
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