Fuzzy measures and convergence
type: Item
instance of: scholarly article
title: Fuzzy measures and convergence
zbMATH Open document ID: 0641.28013
DOI: 10.1016/0165-0114(88)90191-1
author: Massimo Squillante
author: Aldo G. S. Ventre
published in: Fuzzy Sets and Systems
publication date: 1988-01-01T00:00:00Z
review text: Several theorems have been proved, e.g. by Ralescu, Ralescu and Adams, Puri and Ralescu, and Klement, in order to unify the approach to uncertainty of both statistical and fuzzy origin. The present paper is motivated by the same instances and deals with some extensions of the measure-theoretical bases o the unit ball in \(\Lambda_ 0\). Again, the ``non-triviality'' of \(f: S_{\Lambda_ 0}\times S_ V\to V-\{0\}\) implies the existence of (invariant) bifurcation sets \({\mathcal S}\) and \({\mathcal F}\) with some global properties. The dimensions of \({\mathcal S}/G\) and \({\mathcal F}/G\) are estimated only for G finite.
Mathematics Subject Classification ID: 28E10
zbMATH DE Number: 4044141
MaRDI profile type: Publication
full work available at URL: 0165-0114(88)90191-1
OpenAlex ID: W2089588842
cites work: Q5726943
cites work: Fuzzy \(\sigma\)-algebras and fuzzy measurable functions
cites work: Nonlinearity of the fuzzy integral
cites work: Integration on fuzzy sets
cites work: Toward a general theory of fuzzy variables
cites work: The fuzzy integral
cites work: Q4077278
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description: scientific article; zbMATH DE number 4044141