\(\mathbb{T}_ S\)-tribes and \(\mathbb{T}_ S\)-measures
type: Item
instance of: scholarly article
title: \(\mathbb{T}_ S\)-tribes and \(\mathbb{T}_ S\)-measures
zbMATH Open document ID: 0852.28009
author: Radko Mesiar
author: Mirko Navara
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-12-15T00:00:00Z
review text: The paper deals with Frank's \(\mathbb{T}_s\)-norms, where \(s\in (0, \infty)\). The main result states that a family of fuzzy sets is a \(\mathbb{T}\)-tribe for each measurable \(\mathbb{T}\)-norm \(\mathbb{T}\) if and only if it is a \(\mathbb{T}_s\)-tribe for some \(s\in (0, \infty)\). A second important result states that each \(\mathbb{T}_s\)-measure \((s\in (0, \infty])\) defined on a \(\mathbb{T}_s\)-tribe is a generated measure.
reviewed by: Beloslav Riečan
Mathematics Subject Classification ID: 28E10
zbMATH DE Number: 908619
zbMATH Keywords: fuzzy measures
zbMATH Keywords: tribes
zbMATH Keywords: fuzzy sets
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0243
OpenAlex ID: W2056601967
DOI: 10.1006/JMAA.1996.0243
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description: scientific article; zbMATH DE number 908619