Abstract | ||
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This paper deals with discrete copulas considered as a class of binary aggregation operators on a finite chain. A representation theorem by means of permutation matrices is given. From this characterization, we study the structure of associative discrete copulas and a theorem of decomposition of any discrete copula in terms of associative discrete copulas is obtained. Finally, some aspects concerning their extension to copulas are dealt with. |
Year | DOI | Venue |
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2005 | 10.1109/TFUZZ.2004.840129 | Fuzzy Systems, IEEE Transactions |
Keywords | DocType | Volume |
fuzzy logic,fuzzy set theory,statistical distributions,associative discrete copula,binary aggregation operators,finite chain,fuzzy logic,fuzzy sets,permutation matrices,Aggregation operator,copula,discrete binary operation,divisibility,permutation matrix,triangular norm | Journal | 13 |
Issue | ISSN | Citations |
4 | 1063-6706 | 26 |
PageRank | References | Authors |
2.87 | 3 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
G. Mayor | 1 | 267 | 35.38 |
Suner, J. | 2 | 26 | 2.87 |
Joan Torrens | 3 | 1259 | 92.67 |