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Characterization results of generalized differentiabilities of fuzzy functions

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Abstract

This paper presents new properties of the so-called generalized derivatives of fuzzy and interval-valued functions, which consist of the gH, gH⁎, and g-derivatives of these functions. Several recent properties concerning the generalized derivatives of interval-valued functions are extended to the fuzzy case, for which general characterization results are provided. Lastly, in order to illustrate the presented results, a study on the Malthusian growth and decay models considering fuzzy populations is made.

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Fuzzy differential equations, Fuzzy number-valued functions, Generalized derivative, Generalized Hukuhara derivative, Interval-valued functions

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English

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Fuzzy Sets and Systems, v. 490.

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Instituto de Geociências e Ciências Exatas
IGCE
Campus: Rio Claro


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