Fuzzy Differential Equations in Various Approaches
商品資訊
系列名:Springerbriefs in Mathematics
ISBN13:9783319225746
出版社:Springer Verlag
作者:Luciana Takata Gomes; Laecio Carvalho De Barros; Barnabas Bede
出版日:2015/09/14
裝訂:平裝
規格:22.9cm*15.2cm*1.3cm (高/寬/厚)
商品簡介
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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