Probability of fuzzy events defined as denumerable additivity measure
type: Item
instance of: scholarly article
title: Probability of fuzzy events defined as denumerable additivity measure
zbMATH Open document ID: 0604.60005
DOI: 10.1016/0165-0114(85)90093-4
author: Krzysztof Piasecki
published in: Fuzzy Sets and Systems
publication date: 1985-01-01T00:00:00Z
review text: In this paper the probability of fuzzy events is defined as a denumerable additivity measure. This definition is based on a non-conventional approach of separativity between fuzzy subsets. The presented measure fulfils all properties analogous to the properties of classical probability in the crisp case. Further, the notion of conditional probability of fuzzy events, complete fuzzy repartition and independent fuzzy events are defined by means of the probability measure considered here. Connections between all the above notions are presented in this paper, too. Finally, the Bayes formula is proved for the fuzzy case.
Mathematics Subject Classification ID: 60A99
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 3975971
zbMATH Keywords: probability of fuzzy events
zbMATH Keywords: separativity between fuzzy subsets
zbMATH Keywords: conditional probability of fuzzy events
zbMATH Keywords: independent fuzzy events
MaRDI profile type: Publication
full work available at URL: 0165-0114(85)90093-4
OpenAlex ID: W2031750296
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description: scientific article; zbMATH DE number 3975971