Elementary fuzzy calculus (Q580525)
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scientific article; zbMATH DE number 4017235
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Elementary fuzzy calculus |
scientific article; zbMATH DE number 4017235 |
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Elementary fuzzy calculus (English)
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1986
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An extension of the Hausdorff distance is used in definitions of limit properties of fuzzy valued functions. In particular, the derivative and the definite integral of such functions are obtained with properties modelled on real analysis. The paper explains some assumptions introduced by \textit{D. Dubois} and \textit{H. Prade} in their consideration of fuzzy differential calculus (cf. [Fuzzy sets and systems. Theory and applications. New York etc.: Academic Press (1980; Zbl 0444.94049), pp. 106--119].
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fuzzy number
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fuzzy function
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derivative
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definite integral
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fuzzy differential calculus
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