Independently with [7] a corresponding fuzzy approach has been developed in [3-5] with applications in measure theory. One of the results the Egoroff theorem has been proved in an abstract form. In [1] a necessary and sufficient condition for holding the Egoroff theorem was presented in the case of a space with a monotone measure. By the help of [2] and [6] we prove a variant of the Egoroff theorem stated in [4].

EUDML-ID : urn:eudml:doc:287820
Mots clés:
Mots clés:

@article{702945,
     title = {Fuzzy sets and small systems},
     booktitle = {Applications of Mathematics 2013},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2013},
     pages = {185-187},
     mrnumber = {MR3204450},
     zbl = {1340.28021},
     url = {http://dml.mathdoc.fr/item/702945}
}

Považan, Jaroslav; Riečan, Beloslav. Fuzzy sets and small systems, dans Applications of Mathematics 2013, GDML_Books,  (2013), pp. 185-187. http://gdmltest.u-ga.fr/item/702945/