Theory of Fuzzy Computation

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.

Sommario

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.

Riassunto

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.

Testo aggiuntivo

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)

Relazione

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)

Dettagli sul prodotto

• Autori: Apostolos Syropoulos
• Editore: Springer, Berlin
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 01.01.2016
• EAN: 9781493943623
• ISBN: 978-1-4939-4362-3
• Pagine: 162
• Dimensioni: 154 mm x 236 mm x 11 mm
• Peso: 277 g
• Illustrazioni: XII, 162 p. 12 illus. in color.
• Serie: IFSR International Series on Systems Science and Engineering; IFSR International Series in Systems Science and Systems Engineering; IFSR International Series in Systems Science and S; IFSR International Series in Systems Science and Systems Engineering; IFSR International Series on Systems Science and Engineering; IFSR International Series in Systems Science and S
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Teoria delle probabilità, stocastica, statistica matematica; B, Mathematics and Statistics, Mathematics of Computing, Computational Mathematics and Numerical Analysis, Computer mathematics, Mathematical theory of computation, Computer science—Mathematics, Maths for computer scientists