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Record type:	stať ve sborníku (D)
Home Department:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:	Rough Sets and Topology in AST: a Study via Higher-order Fuzzy Logic
Citace	Novák, V. Rough Sets and Topology in AST: a Study via Higher-order Fuzzy Logic. In: ESCIM 2021: Computational Intelligence and Mathematics for tackling Complex problems 3 2021-10-03 Budapest. Berlin: Springer, 2021. s. 127-138. ISBN 978-3-030-74969-9.

Subtitle
Publication year:	2022
Obor:	Obecná matematika
Number of pages:	12
Page from:	127
Page to:	138
Form of publication:	Tištená verze
ISBN code:	978-3-030-74969-9
ISSN code:	1860-949X
Proceedings title:	Computational Intelligence and Mathematics for tackling Complex problems 3
Proceedings:	Mezinárodní
Publisher name:	Springer
Place of publishing:	Berlin
Country of Publication:	Sborník vydaný v zahraničí
Název konference:	ESCIM 2021
Místo konání konference:	Budapest
Datum zahájení konference:
Typ akce podle státní příslušnosti účastníků:	Evropská akce
WoS code:
EID:	2-s2.0-85139646095

Key words in English:	Fuzzy type theory; Mathematical fuzzy logic; Rough sets;Alternative Set Theory; Indiscernibility; Fuzzy equality
Annotation in original language:	This paper is an overview paper extended by new results, that deals with the relation of the basic notions of rough set theory and the topological notions introduced in the Alternative Set Theory (AST). Using the formalism of higher-order fuzzy logic (FTT), we prove syntactically that the main properties and relations among all the considered concepts hold both in classical as well as rough fuzzy set theory, and show that the basic concepts of rough sets are among some of the topological concepts of AST.
Annotation in english language:

References

Reference

R01:	RIV/61988987:17610/22:A2302C8B

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