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Record type:	stať ve sborníku (D)
Home Department:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:	Groupoids in categories of fuzzy topological spaces with continuous fuzzy relations
Citace	Močkoř, J. Groupoids in categories of fuzzy topological spaces with continuous fuzzy relations. In: IPMU2024: 20th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems: Information Processing and Management of Uncertainty in Knowledge-Based Systems 2024-07-22 Lisabon. Cham: Springer, 2024. s. 12-21. ISBN 978-3-031-74003-9.

Subtitle
Publication year:	2024
Obor:	Obecná matematika
Number of pages:	10
Page from:	12
Page to:	21
Form of publication:	Elektronická verze
ISBN code:	978-3-031-74003-9
ISSN code:
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:	IPMU2024: 20th 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:

Key words in English:	Chang L-fuzzy topological spaces; continuous fuzzy relation; fuzzy product in a category; fuzzy groupoid in a category
Annotation in original language:	The notion of a continuous MV-valued fuzzy relation in Chang topological fuzzy spaces is defined, and the category Top of these spaces with continuous fuzzy relations as morphisms is presented. Two special subcategories of Top are presented, using the category of approximation spaces and the category of fuzzy partitions, both with fuzzy relations as morphisms. The concept of a fuzzy groupoid is defined for objects of these categories using the notion of fuzzy products in these subcategories.
Annotation in english language:	The notion of a continuous $MV$-valued fuzzy relation in Chang topological fuzzy spaces is defined, and the category $\bf Top$ of these spaces with continuous fuzzy relations as morphisms is presented. Two special subcategories of $\bf Top$ are presented, using the category of approximation spaces and the category of fuzzy partitions, both with fuzzy relations as morphisms. The concept of a fuzzy groupoid is defined for objects of these categories using the notion of fuzzy products in these subcategories.

References

Reference

R01:	RIV/61988987:17610/24:A2502NIG

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