Fuzzy Logic of Quasi-Truth: An Algebraic Treatment
By: and and
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- Synopsis
- This book presents the first algebraic treatment of quasi-truth fuzzylogic and covers the algebraic foundations of many-valued logic. Itoffers a comprehensive account of basic techniques and reports on importantresults showing the pivotal role played by perfect many-valued algebras(MV-algebras). It is well known that the first-order predicate Ċukasiewiczlogic is not complete with respect to the canonical set of truth values. However, it is complete with respect to alllinearly ordered MV -algebras. As there are no simple linearly orderedMV-algebras in this case, infinitesimal elements of an MV-algebra are allowedto be truth values. The book presents perfect algebras as an interestingsubclass of local MV-algebras and provides readers with the necessary knowledgeand tools for formalizing the fuzzy concept of quasi true and quasi false. Allbasic concepts are introduced in detail to promote a better understanding ofthe more complex ones. It is an advanced and inspiring reference-guide forgraduate students and researchers in the field of non-classical many-valuedlogics.
- Copyright:
- 2016
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9783319304069
- Publisher:
- Springer International Publishing, Cham
- Date of Addition:
- 10/13/16
- Copyrighted By:
- Springer
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics, Philosophy
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.
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