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Record type:	stať ve sborníku (D)
Home Department:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:	Graded Equipollence And Fuzzy C-measures Of Finite Fuzzy Sets
Citace	Holčapek, M. Graded Equipollence And Fuzzy C-measures Of Finite Fuzzy Sets. In: Proceedings of the 2011 IEEE International Conference on Fuzzy Systems. Taiwan: DnE Taiwan, 2011. DnE Taiwan, 2011. s. 2375-2382. ISBN 978-1-4244-7316-8.

Subtitle
Publication year:	2011
Obor:	Obecná matematika
Number of pages:	8
Page from:	2375
Page to:	2382
Form of publication:	Tištená verze
ISBN code:	978-1-4244-7317-5
ISSN code:	1098-7584
Proceedings title:	Proceedings of the 2011 IEEE International Conference on Fuzzy Systems
Proceedings:	Mezinárodní
Publisher name:	DnE Taiwan
Place of publishing:	Taiwan
Country of Publication:	Sborník vydaný v zahraničí
Název konference:	2011 IEEE International Conference on Fuzzy Systems
Conference venue:	Taipei, Taiwan
Datum zahájení konference:
Typ akce podle státní příslušnosti účastníků:	Celosvětová akce
WoS code:
EID:

Key words in English:	residuated-dually residuated lattice; graded equipollence; fuzzy c-measure
Annotation in original language:	In the classical set theory, there is the well known correspondence between the equipollence of finite sets and the equality of natural numbers expressing their cardinalities. In the fuzzy set theory, an equivalent correspondence between the equipollence of finite fuzzy sets and the equality of generalized cardinals has been proposed in [1]. This paper is devoted to the situation when we consider the mentioned relations to be graded, that means, the crisp equipollence of fuzzy sets is replaced now by the graded equipollence of fuzzy sets and the equality of fuzzy sets by their similarity.
Annotation in english language:	In the classical set theory, there is the well known correspondence between the equipollence of finite sets and the equality of natural numbers expressing their cardinalities. In the fuzzy set theory, an equivalent correspondence between the equipollence of finite fuzzy sets and the equality of generalized cardinals has been proposed in [1]. This paper is devoted to the situation when we consider the mentioned relations to be graded, that means, the crisp equipollence of fuzzy sets is replaced now by the graded equipollence of fuzzy sets and the equality of fuzzy sets by their similarity.

References

Reference

R01:	RIV/61988987:17610/11:A12012TB

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