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Zbl 0626.26014
Goetschel, Roy jun.; Voxman, William
Elementary fuzzy calculus.
(English)
[J] Fuzzy Sets Syst. 18, 31-43 (1986). ISSN 0165-0114

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 {\it D. Dubois} and {\it 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].
[J.Drewniak]
MSC 2000:
*26E50 Fuzzy real analysis
03E72 Fuzzy sets (logic)

Keywords: fuzzy number; fuzzy function; derivative; definite integral; fuzzy differential calculus

Citations: Zbl 0444.94049

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