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Riečan, Beloslav

Upper and lower limits of sequences of observables in D-posets of fuzzy sets. (English) Zbl 0894.28011

Math. Slovaca 46, No. 4, 419-431 (1996).
The D-posets of fuzzy sets is studied. Using upper and lower limits of sequences of fuzzy sets, it is defined the convergence of a sequence of observables (i.e., \(\sigma \)-homomorphisms from Borel sets into a D-poset of fuzzy sets). This enables to apply the Kolmogorov consistency theorem for obtaining convergence theorems.

Cited in 2 Documents

MSC:

28E10 Fuzzy measure theory
03E72 Theory of fuzzy sets, etc.
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)

Keywords:

D-poset; observable; almost everywhere convergence
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\textit{B. Riečan}, Math. Slovaca 46, No. 4, 419--431 (1996; Zbl 0894.28011)
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References:

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