The book provides the first full length exploration of fuzzy computability. It describes the notion of fuzziness and present the foundation of computability theory. It then presents the various approaches to fuzzy computability. This text provides a glimpse into the different approaches in this area, which is important for researchers in order to have a clear view of the field. It contains a detailed literature review and the author includes all proofs to make the presentation accessible. Ideas for future research and explorations are also provided. Students and researchers in computer science and mathematics will benefit from this work.

First full length work on the subject of Fuzzy Computability Features a review of existing literature Full proofs included Includes supplementary material: sn.pub/extras

Autorentext

Apostolos Syropoulos holds a B.Sc. in Physics, an M.Sc. in Computer Science, and a Ph.D. in Theoretical Computer Science. His research interests focus on computability theory, category theory, fuzzy set theory, and digital typography. He has authored or co-authored 12 books, co-edited two books, and over 60 papers and articles.

Klappentext

This book provides the first full length exploration of fuzzy computability. It describes the notion of fuzziness and features the basic ideas of computability theory. It then presents the various approaches to fuzzy computability. This text provides a glimpse into the different approaches in this area, which is important for researchers in order to have a clear view of the field. It contains a detailed literature review and includes all proofs to make the presentation accessible. Ideas for future research and explorations are also provided. Students and researchers in computer science and mathematics will benefit from this work.

Inhalt
Introduction.- A Précis of Classical Computability Theory.- Elements of Fuzzy Set Theory.- On Fuzzy Turing Machines.- Other Fuzzy Models of Computation.- Appendix A: Computing with Words.- Appendix B: The Rough Sets Approach.- References.- Subject Index.- Name Index.