On the conditional expectation of observables in MV algebras of fuzzy sets
type: Item
instance of: scholarly article
title: On the conditional expectation of observables in MV algebras of fuzzy sets
zbMATH Open document ID: 0930.06009
DOI: 10.1016/S0165-0114(98)00218-8
author: Beloslav Riečan
published in: Fuzzy Sets and Systems
publication date: 2000-02-08T00:00:00Z
review text: The author studies conditional expectation of observables (random variables) on MV-algebras of fuzzy sets (generated tribes in the terminology of \textit{D. Butnariu} and \textit{E. P. Klement} [``Triangular norm-based measures and their Markov kernel representation'', J. Math. Anal. Appl. 162, No.~1, 111-143 (1991; Zbl 0751.60003]). He proves a generalization of the martingale convergence theorem.
reviewed by: Mirko Navara
Mathematics Subject Classification ID: 06D35
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 28E10
Mathematics Subject Classification ID: 81P10
Mathematics Subject Classification ID: 60G48
zbMATH DE Number: 1340678
zbMATH Keywords: MV~algebra
zbMATH Keywords: observable
zbMATH Keywords: state
zbMATH Keywords: probability measure
zbMATH Keywords: conditional expectation
zbMATH Keywords: martingale convergence theorem
zbMATH Keywords: fuzzy set
zbMATH Keywords: generated tribes
MaRDI profile type: Publication
cites work: Q4293522
cites work: Algebraic Analysis of Many Valued Logics
cites work: Q4300150
cites work: Q4300165
cites work: Q4372533
description: scientific article; zbMATH DE number 1340678