an:04017235
Zbl 0626.26014
Goetschel, Roy jun.; Voxman, William
Elementary fuzzy calculus
EN
Fuzzy Sets Syst. 18, 31-43 (1986).
00151608
1986
j
26E50 03E72
fuzzy number; fuzzy function; derivative; definite integral; fuzzy differential calculus
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].
J.Drewniak
Zbl 0444.94049