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Record type:	stať ve sborníku (D)
Home Department:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:	Discrete multivariate F-transform of higher degree
Citace	Holčapek, M. a Tichý, T. Discrete multivariate F-transform of higher degree. In: 2015 IEEE International conference on fuzzy systems: 2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2015) 2015-08-02 Istanbul, Turecko. IEEE, 2015. s. 1-8. ISBN 978-1-4673-7428-6.

Subtitle
Publication year:	2015
Obor:	Obecná matematika
Number of pages:	8
Page from:	1
Page to:	8
Form of publication:	Tištená verze
ISBN code:	978-1-4673-7428-6
ISSN code:	1098-7584
Proceedings title:	2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2015)
Proceedings:	Mezinárodní
Publisher name:	IEEE
Place of publishing:	Neuveden
Country of Publication:	Sborník vydaný v ČR
Název konference:	2015 IEEE International conference on fuzzy systems
Conference venue:	Istanbul, Turecko
Datum zahájení konference:
Typ akce podle státní příslušnosti účastníků:	Celosvětová akce
WoS code:
EID:

Key words in English:	Higher degree F-transform; fuzzy partition
Annotation in original language:	In this paper, we reformulate the multivariate fuzzy transform (F^m-transform) of higher degree proposed originally for an approximation of continuous functions to the discrete case. We introduce the F^m-transform components as multivariate polynomials using the matrix algebra, the inverse F^m-transform is established to obtain a continuous function. We provide an analysis of basic properties of F^m-transform.
Annotation in english language:	In this paper, we reformulate the multivariate fuzzy transform (F^m-transform) of higher degree proposed originally for an approximation of continuous functions to the discrete case. We introduce the F^m-transform components as multivariate polynomials using the matrix algebra, the inverse F^m-transform is established to obtain a continuous function. We provide an analysis of basic properties of F^m-transform.

References

Reference

R01:	RIV/61988987:17610/15:A1601GDT

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