Fuzzy differential equations in various approaches [electronic resource]

• 作者： Gomes, Luciana Takata.
• 其他作者：
  • Barros, Laecio Carvalho de.
  • Bede, Barnabas.
  • SpringerLink (Online service)
• 其他題名：
  • SpringerBriefs in mathematics,
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： SpringerBriefs in mathematics,
• 主題： Differential equations , Fuzzy mathematics , Mathematics , Ordinary Differential Equations. , Operator theory , Integral Transforms, Operational Calculus. , Difference and Functional Equations.
• ISBN： 9783319225753 (electronic bk.) 、 9783319225746 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
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• 摘要註: 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.
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