On the relationship among F-transform, fuzzy rough set and fuzzy topology

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F17%3AA1901M6K" target="_blank" >RIV/61988987:17610/17:A1901M6K - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00500-017-2559-x" target="_blank" >http://dx.doi.org/10.1007/s00500-017-2559-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-017-2559-x" target="_blank" >10.1007/s00500-017-2559-x</a>

Result language
angličtina
Original language name
On the relationship among F-transform, fuzzy rough set and fuzzy topology
Original language description
The objective of this work is to associate the concepts of fuzzy rough sets and fuzzy topologies/{{co-topologies}} with the F-transforms. The notions of the F-transform is extended to the case where it is applied to an L-valued function on a space with an L-valued fuzzy partition. It is shown that lattice-based F-transforms are particular cases of upper and lower fuzzy approximation operators. Moreover, every lattice-based F-transform component induces a continuous map between two associated fuzzy topological spaces or fuzzy co-topological spaces.
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
10101 - Pure mathematics

Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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