Fuzzy differential equations in various approaches / Luciana Takata Gomes, Laécio Carvalho de Barros, Barnabas Bede

• Autore: Gomes, Luciana Takata
• Pubblicazione: [Cham], : Springer, 2015
• Titolo uniforme: Fuzzy differential equations in various approaches
• Descrizione fisica: XII, 120 p. : ill. ; 24 cm
• Soggetto topico: 26E50 - Fuzzy real analysis [MSC 2020]; 34A07 - Fuzzy ordinary differential equations [MSC 2020]; 47S40 - Fuzzy operator theory [MSC 2020]
• Soggetto non controllato: Dynamical systems; Fuzzy differential equations; Fuzzy-set-valued functions; Hukuhara Derivative; Ordinary differential equations; SBMAC; Uncertainty Analysis; Zadeh's extension
• Altri autori: Barros, Laécio Carvalho de Bede, Barnabas
• Nota di contenuto: This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and metric spaces, this book moves on to an overview of fuzzy calculus thorough exposition and comparison of different approaches. Innovative theories of fuzzy calculus and fuzzy differential equations using fuzzy bunches of functions are introduced and explored. Launching with a brief review of essential theories, this book investigates both well-known and novel approaches in this field; such as the Hukuhara differentiability and its generalizations as well as differential inclusions and Zadeh’s extension. Through a unique analysis, results of all these theories are examined and compared.
• Titolo autorizzato: Fuzzy differential equations in various approaches
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: VAN00113754
• Lo trovi qui: Univ. Vanvitelli
• Localizzazioni e accesso elettronico: http://dx.doi.org/10.1007/978-3-319-22575-3
• Serie: SpringerBriefs in mathematics Berlin [etc.] . -Springer , 2011-