On fuzzy implications: An axiomatic approach
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F13%3AA14017UD" target="_blank" >RIV/61988987:17610/13:A14017UD - 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
On fuzzy implications: An axiomatic approach
Original language description
Fuzzy operations acting on entiref uzzy sets with the stress on fuzzy implications are discussed and studied. In the case of binary operations, the input fuzzy sets are fuzzy subsets of possibly different universal spaces X and Y, and the output fuzzy set is a fuzzy subset of the Cartesian product XxY. The standard approach to fuzzy operations is based on functions actingon [0,1] , and then these fuzzy operations are called functionally expressible. We give a characterization of functionally expressiblefuzzy implications (and other fuzzy operations), and include several examples of fuzzy operations which are not functionally expressible.
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/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
INT J APPROX REASON
ISSN
0888-613X
e-ISSN
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Volume of the periodical
54
Issue of the periodical within the volume
9
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
12
Pages from-to
1471-1482
UT code for WoS article
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EID of the result in the Scopus database
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