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Record type:	stať ve sborníku (D)
Home Department:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:	On integral transforms for residuated lattice-valued functions
Citace	Holčapek, M. a Bui Quoc, V. On integral transforms for residuated lattice-valued functions. In: International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems: Information Processing and Management of Uncertainty in Knowledge-Based Systems 2020-06-15 Lisabon. Cham: Springer, 2020. s. 318-331. ISBN 978-3-030-50152-5.

Subtitle
Publication year:	2020
Obor:	Obecná matematika
Number of pages:	14
Page from:	318
Page to:	331
Form of publication:	Tištená verze
ISBN code:	978-3-030-50152-5
ISSN code:	1865-0929
Proceedings title:	Information Processing and Management of Uncertainty in Knowledge-Based Systems
Proceedings:	Mezinárodní
Publisher name:	Springer
Place of publishing:	Cham
Country of Publication:	Sborník vydaný v zahraničí
Název konference:	International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems
Místo konání konference:	Lisabon
Datum zahájení konference:
Typ akce podle státní příslušnosti účastníků:	Celosvětová akce
WoS code:
EID:	2-s2.0-85086276636

Key words in English:	Integral transform; Fuzzy transform; Residuated lattice; Integral kernel; Fuzzy integral
Annotation in original language:	The article aims to introduce four types of integral transforms for functions whose function values belong to a complete residuated lattice. The integral transforms are defined using so-called qualitative residuum based fuzzy integrals and integral kernels in the form of binary fuzzy relations. We present some of the basic properties of proposed integral transforms including a linearity property that is satisfied under specific conditions for comonotonic functions.
Annotation in english language:

References

Reference

R01:	RIV/61988987:17610/20:A21025E5

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