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Two-dimensional Copulas as Important Binary Aggregation Operators

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TitleTwo-dimensional Copulas as Important Binary Aggregation Operators
Publication TypeJournal Article
Year of Publication2006
AuthorsPap, E., and M. Takács
JournalJournal of Artifical Of Advanced Computational Intelligence and Intelligent Informatics
VolumeVol. 10
Issue No. 4.
Pagination522-526.
Date Published07/2006
PublisherFuji Technology Press Co
Publication Languageenglish
ISSN Number1343-0130
Keywordsaggregation operator, copula, fuzzy measure, maximum attractor, transformation of copula
Abstract

We introduce 2-copulas (copulas, shortly) and recent related research results. We present invariant copulas and their application in the theory of aggregation operators. Copulas are transformed by increasing bijections at the unit interval and discuss copula attractors. We also present results on the approximation of associative copulas by strict and nilpotent triangular norms.

URLhttp://www.fujipress.jp/finder/xslt.php?mode=present&inputfile=JACII001000040014.xml

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