Distinguished Algebraic Semantics for t-norm Based Fuzzy Logics: Methods and Algebraic Equivalencies
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F09%3A00323929" target="_blank" >RIV/67985807:_____/09:00323929 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Distinguished Algebraic Semantics for t-norm Based Fuzzy Logics: Methods and Algebraic Equivalencies
Original language description
This paper is a contribution to the algebraic study of t-norm based fuzzy logics. In the general framework of propositional core and Delta-core fuzzy logics we consider three properties of completeness with respect to any semantics of linearly ordered algebras. Useful algebraic characterizations of these completeness properties are obtained and their relations are studied. Moreover, we concentrate on five kinds of distinguished semantics for these logics, study their relationships, characterization andwe survey the known completeness methods and results for prominent logics. Finally, all completeness properties and distinguished semantics are also considered for the first-order versions of the logics where a number of new results are proved.
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
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/1M0545" target="_blank" >1M0545: Institute for Theoretical Computer Science</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annals of Pure and Applied Logic
ISSN
0168-0072
e-ISSN
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Volume of the periodical
160
Issue of the periodical within the volume
1
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
29
Pages from-to
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UT code for WoS article
000266648600005
EID of the result in the Scopus database
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