2-Increasing binary aggregation operators

Information Sciences

Volumn 177, Issue 1, 2007, Pages 111-129

  Durante, Fabrizio ^a   Mesiar, Radko ^b   Papini, Pier Luigi ^c   Sempi, Carlo ^a  

^a UNIVERSITY OF SALENTO   (Italy)

^b SLOVAK UNIVERSITY OF TECHNOLOGY   (Slovakia)

^c UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

2 Increasing property; Aggregation operator; Copula; Supermodularity

Indexed keywords

2-INCREASING PROPERTY; AGGREGATION OPERATORS; COPULA; SUPERMODULARITY;

DIGITAL ARITHMETIC; FUNCTION EVALUATION; INFORMATION SCIENCE; INTEGRAL EQUATIONS;

MATHEMATICAL OPERATORS;

EID: 33749678943     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2006.04.006     Document Type: Article

References (22)

1. Benvenuti P., and Mesiar R. Integrals with respect to a general fuzzy measure. In: Grabisch M., Murofushi T., and Sugeno M. (Eds). Fuzzy Measures and Integrals: Theory and Applications. Studies in Fuzziness and Soft Computing vol. 40 (2000), Physica-Verlag, Heidelberg
2. In: Bouchon-Meunier B. (Ed). Aggregation and Fusion of Imperfect Information. Studies in Fuzziness and Soft Computing vol. 12 (1998), Physica-Verlag, Heidelberg
3. T. Calvo, A. Kolesárová, M. Komorni{dotless}́ková, R. Mesiar, Aggregation operators: properties, classes and construction methods, in: [4], pp. 3-106.
4. In: Calvo T., Mesiar R., and Mayor G. (Eds). Aggregation Operators. New Trends and Applications. Studies in Fuzziness and Soft Computing vol. 97 (2002), Physica-Verlag, Heidelberg
5. Choquet G. Theory of capacities. Ann. Inst. Fourier Grenoble 5 (1953-1954) 131-295
6. Denneberg D. Non-Additive Measure and Integral (1994), Kluwer Academic Publishers, Dordrecht
7. Durante F. Generalized composition of binary aggregation operators. Int. J. Uncertain. Fuzz. Knowl.-Based Syst. 13 (2005) 567-577
8. F. Durante, C. Sempi, On the characterization of a class of binary operations on bivariate distribution functions, Publ. Math. Debrecen, in press.
9. Fredricks G.A., and Nelsen R.B. Copulas constructed from diagonal sections. In: Beneš V., and Štěpán J. (Eds). Distributions with Given Marginals and Moment Problems (1997), Kluwer, Dordrecht 129-136
10. 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
11. Gottwald S. Mathematical fuzzy logic as a tool for the treatment of vague information. Inform. Sci. 172 (2005) 41-71
12. E.P. Klement, A. Kolesárová, R. Mesiar, C. Sempi, Copulas constructed from the horizontal section, submitted for publication.
13. A. Kolesárová, E.P. Klement, On affine sections of 1-Lipschitz aggregation operators, in: Proceedings Joint EUSFLAT-LFA Conference, Barcelona, 2005, pp. 1293-1296.
14. Kolesárová A. 1-Lipschitz aggregation operators and quasi-copulas. Kybernetika 39 (2003) 615-629
15. Kolesárová A., Mordelová J., and Muel E. Kernel aggregation operators and their marginals. Fuzzy Sets Syst. 142 (2004) 35-50
16. R. Mesiar, B. De Baets, New construction methods for aggregation operators, in: Proceedings IPMU, Madrid, 2000, pp. 701-706.
17. Mesiar R. A note on moderate growth of t-conorms. Fuzzy Sets Syst. 122 (2001) 357-359
18. Nelsen R.B. An Introduction to Copulas. Lecture Notes in Statistics vol. 139 (1999), Springer, New York
19. Nelsen R.B., and Úbeda Flores M. The lattice-theoretic structure of sets of bivariate copulas and quasi-copulas. C.R. Math. Acad. Sci. Paris 341 (2005) 583-586
20. Pasi G., and Yager R.R. Modeling the concept of majority opinion in group decision making. Inform. Sci. 176 (2006) 390-414
21. Yager R.R. On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Trans. Syst. Man. Cybernet. 18 (1988) 183-190
22. Yager R.R. On global requirements for implication operators in fuzzy modus ponens. Fuzzy Sets Syst. 106 (1999) 3-10