Fuzzy Differential Equations in Various Approaches

1. Auflage 2015
ISBN: 978-3-319-22574-6
Verlag: Springer International Publishing

Buch, Englisch, 120 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 2117 g

Reihe: SpringerBriefs in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Gomes, Luciana Takata

Bede, Barnabas

Barros, Laécio Carvalho de

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Fuzzy-Set-Theorie
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

1. Introduction. -2. Basic Concepts. -3. Fuzzy Calculus. -4. Fuzzy Differential Equations. –Mathematical Background. –Index.