Elementary fuzzy calculus
type: Item
instance of: scholarly article
title: Elementary fuzzy calculus
zbMATH Open document ID: 0626.26014
DOI: 10.1016/0165-0114(86)90026-6
author: Roy jun. Goetschel
author: William Voxman
published in: Fuzzy Sets and Systems
publication date: 1986-01-01T00:00:00Z
review text: 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].
reviewed by: Józef Drewniak
Mathematics Subject Classification ID: 26E50
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4017235
zbMATH Keywords: fuzzy number
zbMATH Keywords: fuzzy function
zbMATH Keywords: derivative
zbMATH Keywords: definite integral
zbMATH Keywords: fuzzy differential calculus
MaRDI profile type: Publication
full work available at URL: 0165-0114(86)90026-6
OpenAlex ID: W1994178762
cites work: Q3338122
cites work: Operations on fuzzy numbers
cites work: Towards fuzzy differential calculus. III: Differentiation
cites work: Topological properties of fuzzy numbers
cites work: Eigen fuzzy number sets
description: scientific article; zbMATH DE number 4017235