Fuzzy differential equations in vari...
Barros, Laecio Carvalho de.

 

  • Fuzzy differential equations in various approaches[electronic resource] /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 515.35
    書名/作者: Fuzzy differential equations in various approaches/ by Luciana Takata Gomes, Laecio Carvalho de Barros, Barnabas Bede.
    作者: Gomes, Luciana Takata.
    其他作者: Barros, Laecio Carvalho de.
    出版者: Cham : : Springer International Publishing :, 2015.
    面頁冊數: xii, 120 p. : : ill., digital ;; 24 cm.
    Contained By: Springer eBooks
    標題: Differential equations.
    標題: Fuzzy mathematics.
    標題: Mathematics.
    標題: Ordinary Differential Equations.
    標題: Operator Theory.
    標題: Integral Transforms, Operational Calculus.
    標題: Difference and Functional Equations.
    ISBN: 9783319225753
    ISBN: 9783319225746
    摘要、提要註: 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.
    電子資源: http://dx.doi.org/10.1007/978-3-319-22575-3
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