Theory of Fuzzy Computation (IFSR International Series in Systems Science and Systems Engineering Book 31)

Abstract: 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 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. 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. by Apostolos Syropoulos. Front Matter....Pages i-xii Introduction....Pages 1-12 A Précis of Classical Computability Theory....Pages 13-41 Elements of Fuzzy Set Theory....Pages 43-50 On Fuzzy Turing Machines....Pages 51-107 Other Fuzzy Models of Computation....Pages 109-134 Back Matter....Pages 135-162