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Fuzzy Calculus

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Fuzzy Differential Equations in Various Approaches

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

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Abstract

This chapter develops fuzzy calculus under two different perspectives. One uses fuzzy-set-valued functions and the other one is for fuzzy bunches of functions. Concepts such as Hukuhara derivative and its generalizations, fuzzy Aumann, Henstock and Riemann integrals and derivative and integral via Zadeh’s extension are introduced, explored and compared.

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Authors and Affiliations

  1. Department of Chemistry, Physics and Mathematics, Federal University of São Carlos - Campus Sorocaba, Sorocaba, São Paulo, Brazil

    Luciana Takata Gomes

  2. Institute of Mathematics, Statistics and Scientific Computation Department of Applied Mathematics, University of Campinas, Campinas, São Paulo, Brazil

    Laécio Carvalho de Barros

  3. Department of Mathematics, DigiPen Institute of Technology, Redmond Washington, USA

    Barnabas Bede

Authors
  1. Luciana Takata Gomes
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  2. Laécio Carvalho de Barros
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  3. Barnabas Bede
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Gomes, L.T., de Barros, L.C., Bede, B. (2015). Fuzzy Calculus. In: Fuzzy Differential Equations in Various Approaches. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-22575-3_3

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