Rough Sets and Topology in AST: a Study via Higher-order Fuzzy Logic
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA2202C8B" target="_blank" >RIV/61988987:17610/21:A2202C8B - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-3-030-74970-5_15" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-030-74970-5_15</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-74970-5" target="_blank" >10.1007/978-3-030-74970-5</a>
Alternative languages
Result language
angličtina
Original language name
Rough Sets and Topology in AST: a Study via Higher-order Fuzzy Logic
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centre for the development of Artificial Intelligence Methods for the Automotive Industry of the region</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Computational Intelligence and Mathematics for tackling Complex problems 3
ISBN
978-3-030-74969-9
ISSN
1860-949X
e-ISSN
1860-9503
Number of pages
12
Pages from-to
127-138
Publisher name
Springer
Place of publication
Berlin
Event location
Budapest
Event date
Oct 3, 2021
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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