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Typ záznamu:	stať ve sborníku (D)
Domácí pracoviště:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Název:	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.

Podnázev
Rok vydání:	2024
Obor:	Obecná matematika
Počet stran:	10
Strana od:	12
Strana do:	21
Forma vydání:	Elektronická verze
Kód ISBN:	978-3-031-74003-9
Kód ISSN:
Název sborníku:	Information Processing and Management of Uncertainty in Knowledge-Based Systems
Sborník:	Mezinárodní
Název nakladatele:	Springer
Místo vydání:	Cham
Stát vydání:	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 akce:	Celosvětová akce
Kód UT WoS:
EID:

Klíčová slova anglicky:	Chang L-fuzzy topological spaces; continuous fuzzy relation; fuzzy product in a category; fuzzy groupoid in a category
Popis v původním jazyce:	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.
Popis v anglickém jazyce:	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.

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Ohlas

R01:	RIV/61988987:17610/24:A2502NIG

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