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Record type:	stať ve sborníku (D)
Home Department:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:	F-transform in View of Aggregation Functions
Citace	Perfiljeva, I. a Kreinovich, V. F-transform in View of Aggregation Functions: Aggregation Functions in Theory and in Practise. In: Advances in Intelligent Systems and Computing, 228. Berlin Heidelberg: Springer, 2013. Springer, 2013. s. 381-390. ISBN 978-3-642-39164-4.

Subtitle	Aggregation Functions in Theory and in Practise
Publication year:	2013
Obor:	Informatika
Number of pages:	10
Page from:	381
Page to:	390
Form of publication:	Tištená verze
ISBN code:	978-3-642-39164-4
ISSN code:	2194-5357
Proceedings title:	Advances in Intelligent Systems and Computing, 228
Proceedings:	Mezinárodní
Publisher name:	Springer
Place of publishing:	Berlin Heidelberg
Country of Publication:	Sborník vydaný v zahraničí
Název konference:	7th Int. Summer School on Aggregation Operators
Místo konání konference:	Pamplona, Spain
Datum zahájení konference:
Typ akce podle státní příslušnosti účastníků:	Celosvětová akce
WoS code:
EID:

Key words in English:	F-transform, aggregation functions,fuzzy partition, Ruspini condition
Annotation in original language:	A relationship between the discrete F-transform and aggregation functions is analyzed. We show that the discrete F-transform (direct or inverse) can be associated with a set of linear aggregation functions that respect a fuzzy partition of a universe. On the other side, we discover conditions that should be added to a set of linear aggregation functions in order to obtain the discrete F-transform. Last but not least, the relationship between two analyzed notions is based on a new (generalized) definition of a fuzzy partition without the Ruspini condition.
Annotation in english language:

References

Reference

R01:	RIV/61988987:17610/13:A14018BL

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