Fuzzy Logic of Quasi -Truth: An Algebraic Treatment (Studies in Fuzziness and Soft Computing)

Fuzzy Logic of Quasi -Truth: An Algebraic Treatment (Studies in Fuzziness and Soft Computing)
Fuzzy Logic of Quasi-Truth: An Algebraic Treatment (Studies in Fuzziness and Soft Computing)
English | 6 Apr. 2016 | ISBN: 3319304046 | 124 Pages | PDF (True) | 1.71 MB

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 Ɓukasiewicz 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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