Abstract
The concept of H-fuzzy differentiation is discussed thoroughly in the univariate and multivariate cases. Basic H-derivatives are calculated and then important theorems are presented on the topic, such as, the H-mean value theorem, the univariate and multivariate H-chain rules, and the interchange of the order of H-fuzzy differentiation. Finally is given a multivariate H-fuzzy Taylor formula. This treatment relies in [10].
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© 2010 Springer-Verlag Berlin Heidelberg
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Anastassiou, G.A. (2010). ABOUT H-FUZZY DIFFERENTIATION. In: Fuzzy Mathematics: Approximation Theory. Studies in Fuzziness and Soft Computing, vol 251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11220-1_2
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DOI: https://doi.org/10.1007/978-3-642-11220-1_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11219-5
Online ISBN: 978-3-642-11220-1
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