A note on the convergence theorem of generalized fuzzy integrals
type: Item
instance of: scholarly article
title: A note on the convergence theorem of generalized fuzzy integrals
zbMATH Open document ID: 1005.28015
DOI: 10.1016/S0165-0114(01)00085-9
published in: Fuzzy Sets and Systems
publication date: 2002-07-11T00:00:00Z
review text: A convergence theorem in the framework of generalized fuzzy integrals is shown in its complete form (i.e., stating necessary and sufficient conditions to ensure the convergence of integrals for pointwisely convergent decreasing sequences of nonnegative measurable functions). Thus a series of several convergence theorems for the Sugeno and related integrals is completed, yielding mentioned convergence theorems as special corollaries (see, e.g., [\textit{C. Wu}, \textit{M. Ma}, \textit{S. Song} and \textit{S. Zhang}, Fuzzy Sets and Syst. 70, No. 1, 75-87 (1995; Zbl 0859.28013)]; [\textit{E. Pap}, ``Non-additive set functions'' (1995; Zbl 0856.28001)]; [\textit{Z. Wang} and \textit{G. J. Klir}, ``Fuzzy measure theory'' (1992; Zbl 0812.28010)]).
reviewed by: Radko Mesiar
Mathematics Subject Classification ID: 28E10
zbMATH DE Number: 1766469
zbMATH Keywords: Sugeno integral
zbMATH Keywords: convergence theorem
zbMATH Keywords: generalized fuzzy integrals
author: Jin-Xuan Fang
MaRDI profile type: Publication
cites work: Q4859898
cites work: Q5622474
cites work: Q4271955
cites work: Generalized fuzzy integrals. III: Convergence theorems
cites work: Generalized fuzzy integrals. I: Fundamental concepts
description: scientific article; zbMATH DE number 1766469