Fuzzy sets and small systems

Považan, Jaroslav; Riečan, Beloslav

  • Applications of Mathematics 2013, Publisher: Institute of Mathematics AS CR(Prague), page 185-187

Abstract

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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].

How to cite

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Považan, Jaroslav, and Riečan, Beloslav. "Fuzzy sets and small systems." Applications of Mathematics 2013. Prague: Institute of Mathematics AS CR, 2013. 185-187. <http://eudml.org/doc/287820>.

@inProceedings{Považan2013,
abstract = {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].},
author = {Považan, Jaroslav, Riečan, Beloslav},
booktitle = {Applications of Mathematics 2013},
keywords = {Egorov theorem; fuzzy set; measure theory; monotone function},
location = {Prague},
pages = {185-187},
publisher = {Institute of Mathematics AS CR},
title = {Fuzzy sets and small systems},
url = {http://eudml.org/doc/287820},
year = {2013},
}

TY - CLSWK
AU - Považan, Jaroslav
AU - Riečan, Beloslav
TI - Fuzzy sets and small systems
T2 - Applications of Mathematics 2013
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 185
EP - 187
AB - 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].
KW - Egorov theorem; fuzzy set; measure theory; monotone function
UR - http://eudml.org/doc/287820
ER -

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