- First monograph which treats unitary the non-commutative multiple-valued logic algebras from general to particular; that is, from pseudo-BCK algebras to pseudo-MV algebras
- Explains the development of the field over the past few decades
- Presents a fresh view on new trends in logic and algebra
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- About this book
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This monograph provides a self-contained and easy-to-read introduction to non-commutative multiple-valued logic algebras; a subject which has attracted much interest in the past few years because of its impact on information science, artificial intelligence and other subjects.
A study of the newest results in the field, the monograph includes treatment of pseudo-BCK algebras, pseudo-hoops, residuated lattices, bounded divisible residuated lattices, pseudo-MTL algebras, pseudo-BL algebras and pseudo-MV algebras. It provides a fresh perspective on new trends in logic and algebras in that algebraic structures can be developed into fuzzy logics which connect quantum mechanics, mathematical logic, probability theory, algebra and soft computing.
Written in a clear, concise and direct manner, Non-Commutative Multiple-Valued Logic Algebras will be of interest to masters and PhD students, as well as researchers in mathematical logic and theoretical computer science. - Reviews
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From the reviews:
“Over the last 25 years, many-valued logics and their algebras have been increasingly attracting the attention of various researchers worldwide … . The monograph under review provides a virtually self-contained introduction to all these algebras. … This book is a valuable addition to the literature on noncommutative algebraic logic: it will be of interest to researchers in mathematical logic and theoretical computer science.” (Daniele Mundici, zbMATH, Vol. 1279, 2014)
- Table of contents (9 chapters)
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Pseudo-BCK Algebras
Pages 1-53
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Pseudo-hoops
Pages 55-77
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Residuated Lattices
Pages 79-106
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Other Non-commutative Multiple-Valued Logic Algebras
Pages 107-134
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Classes of Non-commutative Residuated Structures
Pages 135-153
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Table of contents (9 chapters)
- Download Sample pages 2 PDF (252.9 KB)
- Download Table of contents PDF (63.5 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Non-commutative Multiple-Valued Logic Algebras
- Authors
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- Lavinia Corina Ciungu
- Series Title
- Springer Monographs in Mathematics
- Copyright
- 2014
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-01589-7
- DOI
- 10.1007/978-3-319-01589-7
- Hardcover ISBN
- 978-3-319-01588-0
- Softcover ISBN
- 978-3-319-03299-3
- Series ISSN
- 1439-7382
- Edition Number
- 1
- Number of Pages
- XIV, 276
- Topics
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