Pseudovarieties of algebras with fuzzy equalities
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33155704" target="_blank" >RIV/61989592:15310/15:33155704 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0165011414003352" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0165011414003352</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2014.07.014" target="_blank" >10.1016/j.fss.2014.07.014</a>
Alternative languages
Result language
angličtina
Original language name
Pseudovarieties of algebras with fuzzy equalities
Original language description
We establish analogy of the Eilenberg-Schutzenberger pseudovariety theorem in the setting of algebras with fuzzy equalities and Pavelka-style semantics using complete residuated lattices as structures of truth degrees. We show that under the assumption of countable reconstructibility, classes of finite algebras with fuzzy equalities closed under formations of subalgebras, homomorphic images, and finite direct products, are classes of finite algebras with fuzzy equalities which satisfy all but finitely many identities taken from fuzzy sets of identities which serve as graded equational theories. We also show that the assumption of countable reconstructibility is satisfied by model classes if one uses complete residuated lattices based on left-continuoustriangular norms as structures of truth degrees.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
IN - Informatics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP103%2F11%2F1456" target="_blank" >GAP103/11/1456: Foundations of Similarity-Based Data Processing</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fuzzy Sets and Systems
ISSN
0165-0114
e-ISSN
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Volume of the periodical
260
Issue of the periodical within the volume
FEB
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
11
Pages from-to
110-120
UT code for WoS article
000345959500007
EID of the result in the Scopus database
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