Fuzzy probability spaces defined by means of the fuzzy relation ''less than''
type: Item
instance of: scholarly article
title: Fuzzy probability spaces defined by means of the fuzzy relation ''less than''
zbMATH Open document ID: 0604.60006
DOI: 10.1016/0165-0114(86)90056-4
author: Krzysztof Piasecki
published in: Fuzzy Sets and Systems
publication date: 1986-01-01T00:00:00Z
review text: In this paper a fuzzy relation ''less than'' and fuzzy probability spaces on the real line are defined. Fuzzy \(\sigma\)-algebras of events are introduced in an analogous way to the classical theory of probability by means of the above relation. Furthermore, specific properties of the fuzzy probability measures presented here are given.
Mathematics Subject Classification ID: 60A99
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 3975972
zbMATH Keywords: fuzzy Borel interval
zbMATH Keywords: fuzzy random variable
zbMATH Keywords: extension of fuzzy probability measure
zbMATH Keywords: fuzzy relation
zbMATH Keywords: fuzzy probability spaces
zbMATH Keywords: fuzzy probability measures
MaRDI profile type: Publication
full work available at URL: 0165-0114(86)90056-4
OpenAlex ID: W2017586750
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description: scientific article; zbMATH DE number 3975972