Fuzzy type relations and transformation operators defined by monads
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA21024UE" target="_blank" >RIV/61988987:17610/20:A21024UE - isvavai.cz</a>
Result on the web
<a href="https://www.atlantis-press.com/journals/ijcis/125944869/view" target="_blank" >https://www.atlantis-press.com/journals/ijcis/125944869/view</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2991/ijcis.d.200924.001" target="_blank" >10.2991/ijcis.d.200924.001</a>
Alternative languages
Result language
angličtina
Original language name
Fuzzy type relations and transformation operators defined by monads
Original language description
Using the theory of monads in categories and the theory of monadic relations, the concept of general transformation operator defined by a monadic relation is introduced. It is proven that a number of standard relations used in categories of fuzzy structures are monadic relations for monads defined in these categories. It is also proven that a number of standardly used transformation operators in fuzzy sets, fuzzy rough sets, or fuzzy soft sets are in the form of general operators defined by monadic relations.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Computational Intelligence Systems
ISSN
1875-6891
e-ISSN
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Volume of the periodical
13
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
9
Pages from-to
1530-1538
UT code for WoS article
000608285000016
EID of the result in the Scopus database
2-s2.0-85092594361