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＜電子ブック＞
Fuzzy Differential Equations in Various Approaches / by Luciana Takata Gomes, Laécio Carvalho de Barros, Barnabas Bede
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2015.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2015
大きさ	XII, 120 p. 39 illus : online resource
著者標目	*Gomes, Luciana Takata author Barros, Laécio Carvalho de author Bede, Barnabas author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Operator theory LCSH:Mathematical analysis LCSH:Difference equations LCSH:Functional equations FREE:Differential Equations FREE:Operator Theory FREE:Integral Transforms and Operational Calculus FREE:Difference and Functional Equations
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-22575-3

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