Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

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

Cited in: Zbl 1240.03029 Zbl 1224.28033 Zbl 1175.26067 Zbl 1049.39008 Zbl 1033.39014 Zbl 0980.26012 Zbl 0970.26019 Zbl 0966.45001 Zbl 0961.54024 Zbl 0947.45001 Zbl 0937.03059 Zbl 0934.45011 Zbl 0922.28015 Zbl 0858.54005 Zbl 0786.04006 Zbl 0757.46066 Zbl 0726.65048 Zbl 0706.26020

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]