Functors among relational variants of categories related to L-fuzzy partitions, L-fuzzy pretopological spaces and L-fuzzy closure spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA210255O" target="_blank" >RIV/61988987:17610/20:A210255O - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.3390/axioms9020063" target="_blank" >https://doi.org/10.3390/axioms9020063</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/axioms9020063" target="_blank" >10.3390/axioms9020063</a>

Result language
angličtina
Original language name
Functors among relational variants of categories related to L-fuzzy partitions, L-fuzzy pretopological spaces and L-fuzzy closure spaces
Original language description
Relationships among 15 categories of modifications of topological L-valued operators, including Cech closure or interior L-valued operators, L-fuzzy pretopological and L-fuzzy co-pretopological operators, L-valued fuzzy relations, upper and lower F-transforms and spaces with fuzzy partitions are investigated. The common feature of these categories is that their morphisms are various L-fuzzy relations and not only maps. We prove the existence of 23 functors among these categories which represent transformation processes of one operator into another operator and we show how these transformation processes can be mutually combined.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA18-06915S" target="_blank" >GA18-06915S: New approaches to aggregation operators in analysis and processing of data</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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