Springer Monographs in Mathematics

Non-commutative Multiple-Valued Logic Algebras

Authors: Ciungu, Lavinia Corina

  • 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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  • ISBN 978-3-319-01589-7
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Hardcover $129.00
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  • ISBN 978-3-319-01588-0
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  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
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  • ISBN 978-3-319-03299-3
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  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
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About this book

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

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)

  • Pseudo-BCK Algebras

    Ciungu, Lavinia Corina

    Pages 1-53

  • Pseudo-hoops

    Ciungu, Lavinia Corina

    Pages 55-77

  • Residuated Lattices

    Ciungu, Lavinia Corina

    Pages 79-106

  • Other Non-commutative Multiple-Valued Logic Algebras

    Ciungu, Lavinia Corina

    Pages 107-134

  • Classes of Non-commutative Residuated Structures

    Ciungu, Lavinia Corina

    Pages 135-153

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-01589-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-01588-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-3-319-03299-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Non-commutative Multiple-Valued Logic Algebras
Authors
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