Monadic power set theories in Kleisli categories
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA2202842" target="_blank" >RIV/61988987:17610/21:A2202842 - isvavai.cz</a>
Result on the web
<a href="https://www.atlantis-press.com/proceedings/ifsa-eusflat-agop-21/125960415" target="_blank" >https://www.atlantis-press.com/proceedings/ifsa-eusflat-agop-21/125960415</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2991/asum.k.210827.002" target="_blank" >10.2991/asum.k.210827.002</a>
Alternative languages
Result language
angličtina
Original language name
Monadic power set theories in Kleisli categories
Original language description
In this paper, we follow up on the well known interpretation of fuzzy relations as morphisms in Kleisli category defined in the category of sets using a suitable monad. This Kleisli category thus becomes a relational variant of the classical category of fuzzy sets. This interpretation and the associated construction of, e.g., various transformation operators is often used not only in fuzzy set theory but also in computer science. Using this principle we create in the paper a relational variant of a given Kleisli category which will be defined again using a suitable monad in the original Kleisli category.
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/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
Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
ISBN
978-94-6239-423-0
ISSN
2589-6644
e-ISSN
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Number of pages
8
Pages from-to
9-16
Publisher name
Atlantic Press
Place of publication
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Event location
Bratislava
Event date
Sep 19, 2021
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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