Name
Abstract | ||
|---|---|---|
In this paper discrete quasi-copulas (defined on a square grid I"n^2 of [0,1]^2) are studied and it is proved that they can be represented by means of a special class of matrices with entries in [-1,1]. Special considerations are made for the case of irreducible discrete quasi-copulas (those with range I"n), showing that they can be represented through alternating-sign matrices and that they generate all discrete quasi-copulas through convex sums. In the process, the number of irreducible quasi-copulas on I"n is given and those functions @d for which there exists a unique copula with @d as its diagonal section are characterized. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.fss.2007.10.004 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
special class,discrete quasi-copulas,irreducible discrete quasi-copula,irreducible discrete quasi-copulas,irreducible quasi-copulas,discrete scale,paper discrete quasi-copulas,special consideration,matrix representation,square grid,asm,diagonal section,alternating-sign matrix,convex sum,copula,quasi-copula | Diagonal,Discrete mathematics,Combinatorics,Square tiling,Existential quantification,Copula (linguistics),Matrix (mathematics),Fuzzy set,Regular polygon,Mathematics,Matrix representation | Journal |
Volume | Issue | ISSN |
159 | 13 | Fuzzy Sets and Systems |
Citations | PageRank | References |
7 | 0.60 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| I. Aguiló | 1 | 85 | 10.76 |
| J. Suòer | 2 | 18 | 1.69 |
| J. Torrens | 3 | 697 | 38.56 |