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%2F06%3A00003267" target="_blank" >RIV/61989592:15310/06:00003267 - isvavai.cz</a>
Alternative codes found
RIV/61989592:15310/06:00002564
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Algebras with fuzzy equalities
Original language description
An algebra with fuzzy equality is a set with operations on it that is equipped with similarity ~, i.e. a fuzzy equivalence relation, such that each operation f is compatible with ~. Described verbally, compatibility says that each f yields similar results if applied to pairwise similar arguments. On the one hand, algebras with fuzzy equalities are structures for the equational fragment of fuzzy logic and have been studied from this point of view before. On the other hand, they are the formal counterpartto the intuitive idea of having functions that are not allowed to map similar objects to dissimilar ones. The present paper aims at developing fundamental points of algebras with fuzzy equalities: we introduce the notion of an algebra with fuzzy equality, present natural examples, compare the notion with other approaches, and introduce and develop basic structural notions (subalgebras, morphisms, products, direct unions). In a follow-up paper [30], we deal with advanced topics in algebr
Czech name
Algebry s fuzzy rovnostmi
Czech description
Jsou zkoumány algebry s fuzzy rovnostmi.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BD - Information theory
OECD FORD branch
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Result continuities
Project
<a href="/en/project/KJB1137301" target="_blank" >KJB1137301: Relational systems in presence of vagueness and uncertainty:mathematical foundations for applications</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2006
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
157
Issue of the periodical within the volume
2
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
41
Pages from-to
161-201
UT code for WoS article
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EID of the result in the Scopus database
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