Matrix representation of discrete quasi-copulas

Fuzzy Sets and Systems

Volumn 159, Issue 13, 2008, Pages 1658-1672

  Aguilo I ^a   Suner J ^a   Torrens, J ^a  

^a UNIVERSITAT DE LES ILLES BALEARS   (Spain)

Author keywords

ASM; Copula; Diagonal section; Discrete scale; Irreducible discrete quasi copula; Quasi copula

Indexed keywords

FINITE DIFFERENCE METHOD; FUZZY SETS; NUMERICAL METHODS; THEOREM PROVING;

COPULA; DIAGONAL SECTION; DISCRETE SCALE; IRREDUCIBLE DISCRETE QUASI-COPULA; QUASI-COPULA;

MATRIX ALGEBRA;

EID: 43449088218     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2007.10.004     Document Type: Article

References (14)

1. Alsina C., Nelsen R.B., and Schweiser B. On the characterization of a class of binary operations on distribution functions. Statist. Probab. Lett. 17 (1993) 85-89
2. Durante F. Solution of an open problem for associative copulas. Fuzzy Sets and Systems 152 2 (2005) 411-415
3. Durante F., Mesiar R., and Sempi C. On a family of copulas constructed from the diagonal section. Soft Comput. 10 6 (2006) 490-494
4. Genest C., Quesada Molina J.J., Rodríguez Lallena J.A., and Sempi C. A characterization of quasi-copulas. J. Multivariate Anal. 69 (1999) 193-205
5. Klement E.P., and Kolesárová A. Extension to copulas and quasi-copulas as special 1-Lipschitz aggregation operators. Kybernetika 41 3 (2005) 329-348
6. Kolesárová A., Mesiar R., Mordelová J., and Sempi C. Discrete copulas. IEEE Trans. Fuzzy System 14 5 (2006) 698-705
7. Kolesárová A., and Mordelová J. Quasi-copulas and copulas on a discrete scale. Soft Comput. 10 (2006) 495-501
8. Mayor G., Suñer J., and Torrens J. Copula-like operations on finite settings. IEEE Trans. Fuzzy Systems 13 4 (2005) 468-477
9. G. Mayor, J. Suñer, J. Torrens, Sklar's Theorem in finite settings, IEEE Trans. Fuzzy Systems 15(3) (2007) 410-416.
10. Mayor G., and Torrens J. Triangular norms in discrete settings. In: Klement E.P., and Mesiar R. (Eds). Logical, Algebraic, Analytic, and Probabilistic Aspects of Triangular Norms (2005), Elsevier, Amsterdam 193-236
11. Nelsen R.B. An Introduction to Copulas, Lecture Notes in Statistics vol. 139 (1999), Springer, New York
12. Quesada Molina J.J., and Sempi C. Discrete quasi-copulas. Insur. Math. Econ. 37 1 (2005) 27-41
13. Robbins D.P., and Rumsey H. Determinants and alternating-sign matrices. Adv. Math. 62 (1986) 169-184
14. Sklar A. Fonctions de répartition à n dimensions et leur marges. Publ. Inst. Statist. Univ. Paris 8 (1959) 229-231