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Second note on the theorem of Aleksandrov. (English) Zbl 0990.28014

The paper deals with the classical assertion that a subadditive regular set function \(\mu \) is upper continuous in \(\emptyset \). The paper contains two strenghtenings: 1. Instead of sets, fuzzy sets are considered. 2. Instead of a real function \(\mu \), a so-called small system is used [see, e.g., B. Riečan and T. Neubrunn, “Integral, measure, and ordering” (1997; Zbl 0916.28001)].

MSC:

28E10 Fuzzy measure theory

Citations:

Zbl 0916.28001
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