Graded Dominance and Cantor-Bernstein Equipollence of Fuzzy Sets
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F16%3AA1701H9X" target="_blank" >RIV/61988987:17610/16:A1701H9X - 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
Graded Dominance and Cantor-Bernstein Equipollence of Fuzzy Sets
Original language description
The aim of the paper is to propose a graded dominance for fuzzy sets that assigns to each pair of fuzzy sets a degree in which one fuzzy set has less cardinality than another one or the cardinalities of both fuzzy sets are approximately equal. The graded dominance for fuzzy sets is a natural generalization of the dominance relation for sets. The graded dominance is then used for the introduction of a fuzzy class equivalence that satisfies a graded version of the Cantor-Bernstein theorem.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Information Processing and Management of Uncertainty in Knowledge-Based Systems: 16th International Conference, IPMU 2016, Eindhoven, The Netherlands, June 20 - 24, 2016, Proceedings, Part II
ISBN
978-3-319-40580-3
ISSN
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e-ISSN
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Number of pages
12
Pages from-to
510-521
Publisher name
Springer International Publishing
Place of publication
Švýcarsko
Event location
Eindhoven, Nizozemí
Event date
Jun 20, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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