Fuzzy complex analysis. II: Integration
type: Item
instance of: scholarly article
title: Fuzzy complex analysis. II: Integration
zbMATH Open document ID: 0770.30045
DOI: 10.1016/0165-0114(92)90322-U
published in: Fuzzy Sets and Systems
publication date: 1993-01-16T00:00:00Z
review text: [For part I see the author and \textit{Y. Qu} [Fuzzy Sets Syst. 41, No. 3, 269-284 (1991; Zbl 0739.30038)].] This paper is the continuation of the part I of the author's fuzzy complex analysis and studies the basic properties of a kind of fuzzy contour integrals which are with respect to the fuzzy mappings that map rectifiable curves in the complex plane into fuzzy complex numbers. The paper shows some interesting results about \(\alpha\)-cuts of the integral, when the integral is a fuzzy complex number, additivity, and the Cauchy integral theorem, and gives three ways to define the fuzzy line integral.
Mathematics Subject Classification ID: 30G99
zbMATH DE Number: 92994
author: James J. Buckley
reviewed by: Hongxing Li
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 92994