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On Egoroff’s theorems on finite monotone non-additive measure space. (English) Zbl 1077.28015
The paper continues and develops the investigation of the Egoroff theorem for finite fuzzy measures (non-additive measures) originated in [J. Li, Kybernetika 39, No. 6, 753–760 (2003)]. Four versions of the Egoroff theorem are presented and the connections between some special properties of fuzzy measures are discussed.

##### MSC:
 2.8e+11 Fuzzy measure theory
##### Keywords:
Egoroff theorem; fuzzy measure; continuity of set functions
Full Text:
##### References:
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