On the conditional expectation of observables in MV algebras of fuzzy sets (Q1302202)
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scientific article; zbMATH DE number 1340678
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the conditional expectation of observables in MV algebras of fuzzy sets |
scientific article; zbMATH DE number 1340678 |
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On the conditional expectation of observables in MV algebras of fuzzy sets (English)
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8 February 2000
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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.
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MV~algebra
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observable
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state
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probability measure
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conditional expectation
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martingale convergence theorem
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fuzzy set
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generated tribes
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