A generalization of probability theory on MV-algebras to IF-events
type: Item
instance of: scholarly article
title: A generalization of probability theory on MV-algebras to IF-events
zbMATH Open document ID: 1203.60012
author: Magdaléna Renčová
published in: Fuzzy Sets and Systems
publication date: 2010-07-28T00:00:00Z
review text: Usually, probability theory on IF-events based on Lukasiewicz connectives can be incorporated into an MV-algebra probability space and the well developed MV-algebra probability theory can be applied directly. In this paper, the author introduce more general connectives which cannot be embedded into a MV-algebra setting. Using some embedding theorems from a paper by Cunderlikova-Lendelova and Riecan (The probability theory on B-structures), the author proves a probability representation theorem, a central limit theorem and a law of large numbers.
reviewed by: Wolfgang Näther
Mathematics Subject Classification ID: 60B99
zbMATH DE Number: 5762247
zbMATH Keywords: MV-algebra
zbMATH Keywords: probability theory for IF-events
zbMATH Keywords: central limit theorem
zbMATH Keywords: law of large numbers
MaRDI profile type: Publication
full work available at URL: j.fss.2009.11.009
OpenAlex ID: W2092793460
cites work: Intuitionistic fuzzy sets. Theory and applications
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cites work: Q3432226
cites work: An application of intuitionistic fuzzy sets in medical diagnosis
cites work: On a problem of Radko Mesiar: general form of IF-probabilities
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DOI: 10.1016/J.FSS.2009.11.009
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description: scientific article; zbMATH DE number 5762247