EAN: 9783319225746

SPRINGERBRIEFS IN MATHEMATICS FUZZY DIFFERENT...

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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