A quantum mechanical model is considered based on an MV algebra of fuzzy sets. The conditional expectation is studied of an observable with respect to another one. The main result is a variant of the martingale convergence theorem.
Fuzzy conditional expectation
✍ Scribed by M. Stojaković
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 425 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0165-0114
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## Abstract For an essentially bounded closed‐convex‐nonempty set‐valued random variable, it is shown that the conditional expectation is characterized by its integrals over the sets of the associated __σ__ ‐field. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)