Theory of Fuzzy Computation [Hardcover]

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.Introduction.- A Pr?cis 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.

From the book reviews:

The book can be recommended to students and researchers in all areas dealing with computational complexity, especially for those in computer science and mathematics. (Radko Mesiar, zbMATH, Vol. 1295, 2014)

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.

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