Any F-transform is defined by a powerset theory
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA2001U0Y" target="_blank" >RIV/61988987:17610/19:A2001U0Y - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-030-12544-8_5" target="_blank" >http://dx.doi.org/10.1007/978-3-030-12544-8_5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-12544-8_5" target="_blank" >10.1007/978-3-030-12544-8_5</a>
Alternative languages
Result language
angličtina
Original language name
Any F-transform is defined by a powerset theory
Original language description
A relationship between powerset theories and F-transforms are investigated. Both these methods represent very strong tools in thetheory and applications. Although both methods deal also with fuzzy object, both these methods use different tools and, so far, the relationship between the two methods has not been investigated. The aim of thispaper is to show that there is a very strong relationship between the two methods. Namely, arbitrary lower or upper F-transform of lattice-valued fuzzy sets can be derived from a special powerset theory and, conversely,there exists a special class of powerset theories, such that maps definedby these powerset theories are lower or upper F-transforms. This result allows, among other things, to extend the range of methods and tools that are used in both theories.
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
10102 - Applied mathematics
Result continuities
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)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Fuzzy Logic and Applications, 12th International Workshop, WILF 2018 Genoa, Italy, September 6-7, 2018
ISBN
978-3-030-12543-1
ISSN
0302-9743
e-ISSN
1611-3349
Number of pages
12
Pages from-to
55-66
Publisher name
Springer Nature Switzerland
Place of publication
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Event location
Genoa
Event date
Sep 6, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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