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• W2201266648 abstract "In this study, we adapt the concept of the Bede–Gal derivative, which was initially suggested for fuzzy number-valued functions, to set-valued functions. We use an example to demonstrate that this concept overcomes some of the shortcomings of the Hukuhara derivative. We prove some properties of Bede–Gal differentiable set-valued functions. We also study the relationship between a Bede–Gal differentiable set-valued function and its value's support function, which we call the associated support function. We provide examples of set-valued functions that are not Bede–Gal differentiable whereas their associated support functions are differentiable. We also present some applications of the Bede–Gal derivative to solving set-valued differential equations." @default.
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• W2201266648 date "2016-07-01" @default.
• W2201266648 modified "2023-09-26" @default.
• W2201266648 title "Relationship between Bede–Gal differentiable set-valued functions and their associated support functions" @default.
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• W2201266648 doi "https://doi.org/10.1016/j.fss.2015.12.002" @default.
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