On Preservation of Residuated Lattice Properties for Partial Algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA22028O6" target="_blank" >RIV/61988987:17610/21:A22028O6 - isvavai.cz</a>
Result on the web
<a href="https://www.atlantis-press.com/proceedings/ifsa-eusflat-agop-21/125960396" target="_blank" >https://www.atlantis-press.com/proceedings/ifsa-eusflat-agop-21/125960396</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2991/asum.k.210827.054" target="_blank" >10.2991/asum.k.210827.054</a>
Alternative languages
Result language
angličtina
Original language name
On Preservation of Residuated Lattice Properties for Partial Algebras
Original language description
This paper concentrates on investigating the preservation of the axioms and essential properties of residuated lattices in partial fuzzy set theory. We consider seven mostknown partial algebras dealing with undefined values such as the Bochvar, Bochvar external, Sobocinski, McCarthy, Nelson, ´ Kleene, Łukasiewicz, and additional, two recent ones, namely the Lower estimation algebra and the Dragonfly algebra. We provide the sketch of proofs in details for the preservation of considered axioms and properties in these algebras. The paper concludes with the tables summarizing the results, which visibly show how close is a partial algebra to a residuated lattice.
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
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA20-07851S" target="_blank" >GA20-07851S: Fuzzy relational structures in approximate reasoning</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
405-412
Publisher name
Atlantis Press
Place of publication
Paris
Event location
Bratislava
Event date
Jan 1, 2021
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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