Abstract
This contribution summarizes the theory of differential calculus on \(\textit{IF}\) sets. First the definition of the function is given. Then the absolute value and limit of the function are defined and the properties of these functions are studied. By using the limit of the function the derivative of the function is define and Lagrange mean value theorem is proved. Since the main aim of this contribution is to proof the Taylor’s theorem the polynomial function and Taylor polynomial are defined. Finally the Taylor’s theorem is proved and some examples are given.
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The support of the grant VEGA 1/0120/14 is kindly announced.
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Michalíková, A. (2016). Differential Calculus on \(\textit{IF}\) Sets. In: Angelov, P., Sotirov, S. (eds) Imprecision and Uncertainty in Information Representation and Processing. Studies in Fuzziness and Soft Computing, vol 332. Springer, Cham. https://doi.org/10.1007/978-3-319-26302-1_14
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DOI: https://doi.org/10.1007/978-3-319-26302-1_14
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