[1] Ahmad, N., Kim, H. K., McCann, R. J.: Extremal doubly stochastic measures and optimal transportation. Working paper, 2009.
[2] Alsina, C.:
On Schur-concave $t$-norms and triangle functions. In: General inequalities, 4 (Oberwolfach, 1983), volume 71 of Internat. Schriftenreihe Numer. Math., pp. 241–248. Birkhäuser, Basel 1984.
MR 0821801
[3] Alsina, C., Frank, M. J., Schweizer, B.:
Problems on associative functions. Aequationes Math. 66 (2003), 128–140.
MR 2003460 |
Zbl 1077.39021
[4] Alsina, C., Nelsen, R. B., Schweizer, B.:
On the characterization of a class of binary operations on distribution functions. Statist. Probab. Lett. 17 (1993), 85–89.
MR 1223530 |
Zbl 0798.60023
[5] Alsina, C., Schweizer, B., Frank, M. J.:
Associative Functions. World Scientific Publishing Company, Singapore 2006.
MR 2222258 |
Zbl 1100.39023
[6] Alvoni, E., Papini, P. L., Spizzichino, F.:
On a class of transformations of copulas and quasi-copulas. Fuzzy Sets and Systems 160 (2009), 334–343.
MR 2473107 |
Zbl 1175.62045
[7] Atanassov, K.:
Intuitionistic Fuzzy Sets, Theory and Applications. Physica-Verlag, Heidelberg 1999.
MR 1718470 |
Zbl 0939.03057
[8] Bassan, B., Spizzichino, F.:
Relations among univariate aging, bivariate aging and dependence for exchangeable lifetimes. J. Multivariate Anal. 93 (2005), 313–339.
MR 2162641 |
Zbl 1070.60015
[9] Butnariu, D., Klement, E. P.:
Triangular Norm-Based Measures and Games with Fuzzy Coalitions. Kluwer Academic Publishers, Dordrecht 1993.
Zbl 0804.90145
[10] Couceiro, M.: On two generalizations of associativity. In: Proc. FSTA 2010 (E. P. Klement et al., eds.), p. 47, Liptovský Ján 2010.
[11] Cuculescu, I., Theodorescu, R.:
Extreme value attractors for star unimodal copulas. CR Math. Acad. Sci. Paris 334 (2002) 689–692.
MR 1903371 |
Zbl 0996.60026
[12] Durante, F., Foschi, R., Sarkoci, P.:
Distorted copulas: constructions and tail dependence. Comm. Statist. Theory Methods 2010. In press.
MR 2755652 |
Zbl 1194.62075
[13] Durante, F., Kolesárová, A., Mesiar, R., Sempi, C.:
Copulas with given diagonal sections: Novel constructions and applications. Internat. J. Uncertain. Fuzziness and Knowledge-Based Systems 18 (2007), 397–410.
MR 2362234 |
Zbl 1158.62324
[14] Durante, F., Mesiar, R., Papini, P. L.:
The lattice-theoretic structure of the sets of triangular norms and semi-copulas. Nonlinear Analysis, Theory, Methods and Applications 69 (2008), 46–52.
MR 2417853 |
Zbl 1204.03051
[15] Durante, F., Mesiar, R., Sempi, C.: Copulas with given diagonal section: some new results. In: Proc. EUSFLAT-LFA Conference (E. Montseny and P. Sobrevilla, eds.), pp. 932–936, Barcelona 2005.
[16] Durante, F., Rodríguez-Lallena, J. A., Úbeda-Flores, M.:
New constructions of diagonal patchwork copulas. Inform. Sci. 179 (2009), 3383–3391.
MR 2574347 |
Zbl 1190.62101
[17] Durante, F., Sempi, C.:
Copulæ, and Schur-concavity. Internat. Math. J. 3 (2003), 893–905.
MR 1990502 |
Zbl 1231.60014
[18] Durante, F., Sempi, C.:
Copula and semicopula transforms. Internat. J. Math. Math. Sci. (2005), 645–655.
MR 2172400 |
Zbl 1078.62055
[19] Durante, F., Sempi, C.:
Semicopulæ. Kybernetika 41 (2005), 315–328.
MR 2181421
[20] Durante, F., Spizzichino, F.: Semi-copulas, capacities and families of level curves. Fuzzy Sets and Systems 161 (2009), 2009.
[21] Foulis, D. J., Bennett, M. K.:
Effect algebras and unsharp quantum logics. Found. Phys. 24 (1994), 1331–1352.
MR 1304942
[22] Frank, M. J.:
On the simultaneous associativity of $F(x,y)$ and $x+y-F(x,y)$. Aeqationes Math. 19 (1979), 194–226.
MR 0556722 |
Zbl 0444.39003
[23] Genest, C., Quesada-Molina, J. J., Rodríguez-Lallena, J. A., Sempi, C.:
A characterization of quasi-copulas. J. Multivariate Anal. 69 (1999), 193–205.
MR 1703371
[24] Grabisch, M., Marichal, J.-L., Mesiar, R., Pap, E.:
Aggregation Functions. Cambridge University Press, Cambridge 2009.
MR 2538324 |
Zbl 1196.00002
[25] Gudder, S. P.:
Sharply dominating effect algebras. Tatra Mt. Math. Publ. 15 (1998), 23–30.
MR 1655076 |
Zbl 0939.03073
[26] Gudder, S. P.:
S-dominating effect algebras. Inter. J. Theor. Phys. 37 (1998), 915–923.
MR 1624277 |
Zbl 0932.03072
[27] Hestir, K., Williams, S. C.:
Supports of doubly stochastic measures. Bernoulli 1 (1995), 217–243.
MR 1363539 |
Zbl 0844.60002
[28] Hilbert, D.:
Mathematical problems. Bull. Amer. Math. Soc. 8 (1901/02), 437–479.
MR 1557926
[29] Janiš, V.:
T-Norm based cuts of intuitionistic fuzzy sets. Inform. Sci. 180 (2010), 1134–1137.
MR 2580107 |
Zbl 1188.03036
[31] Jenča, G.:
Blocks of homogeneous effect algebras. Bull. Austr. Math. Soc. 64 (2001), 81–98.
MR 1848081 |
Zbl 0985.03063
[32] Jenča, G.:
Finite homogeneous and lattice ordered effect algebras. Discrete Mathematics 272 (2003), 197–214.
MR 2009543 |
Zbl 1031.03078
[33] Jenča, G.:
Sharp and meager elements in orthocomplete homogeneous effect algebras. Order 27 (2010), 41–61.
MR 2601154 |
Zbl 1193.03084
[34] Jenča, G.: Coexistence in interval effect algebras. Proc. Amer. Math. Soc. To appear.
[35] Jenča, G., Pulmannová, S.:
Orthocomplete effect algebras. Proc. Amer. Math. Soc. 131 (2003), 2663–2671.
MR 1974321 |
Zbl 1019.03046
[36] Jenča, G., Riečanová, Z.: On sharp elements in lattice ordered effect algebras. BUSEFAL 80 (1999), 24–29.
[37] Jwaid, T., Baets, B. De: Double conic copulas. In: Proc. FSTA 2010 (E. P. Klement et al., eds.), p. 73, Liptovský Ján 2010.
[38] Kalina, M.:
On central atoms of Archimedean atomic lattice effect algebras. Kybernetika 46 (2010), 609–620.
MR 2722091 |
Zbl 1214.06002
[39] Klement, E. P., Mesiar, R.:
Open problems posed at the Eight International Conference on Fuzzy Set Theory and Applications (FSTA 2006, Liptovský Ján, Slovakia). Kybernetika 42 (2006), 225–235.
MR 2241786
[40] Klement, E. P., Mesiar, R., Pap, E.:
Triangular Norms. Kluwer Academic Publishers, Dordrecht 2000.
MR 1790096 |
Zbl 1010.03046
[41] Klement, E. P., Mesiar, R., Pap, E.:
Uniform approximation of associative copulas by strict and non-strict copulas. Illinois J. Math. 45 (2001), 1393–1400.
MR 1895466 |
Zbl 1054.62064
[42] Klement, E. P., Mesiar, R., Pap, E.:
Problems on triangular norms and related operators. Fuzzy Sets and Systems 145 (2004), 471–479.
MR 2075842 |
Zbl 1050.03019
[43] Klement, E. P., Mesiar, R., Pap, E.:
Archimax copulas and invariance under transformations. C R Math. Acad. Sci. Paris 340 (2005), 755–758.
MR 2141065 |
Zbl 1126.62040
[44] Kolesárová, A., Mordelová, J., Stupňanová, A.: Aggregation functions as extensions of fuzzy measures. In: Proc. FSTA 2010 (E. P. Klement et al., eds.), p. 80, Liptovský Ján 2010.
[45] Marinacci, M., Montrucchio, L.:
Ultramodular functions. Math. Oper. Res. 30 (2005), 311–332.
MR 2142035 |
Zbl 1082.52006
[46] Mesiar, R., Novák, V.:
Open problems from the 2nd International Conference on Fuzzy Sets Theory and Its Applications. Fuzzy Sets and Systems 81 (1996), 185–190.
MR 1392780
[47] Mesiarová, A.: Triangular Norms and their Diagonal Functions. Master Thesis, Comenius University, Bratislava 2002.
[48] McNeil, A. J., Nešlehová, J.:
Multivariate Archimedean copulas, $d$-monotone functions and $L_{1}$-norm symmetric distributions. Ann. Statist. 37 (2009), 3059–3097.
MR 2541455
[49] Moynihan, R.:
Infinite $\tau _{T}$ products of distribution functions. J. Austral. Math. Soc. Ser. A 26 (1978), 227–240.
MR 0511607
[50] Nelsen, R. B.:
An Introduction to Copulas. Second edition. Springer Science+Business Media, New York 2006.
MR 2197664 |
Zbl 1152.62030
[51] Nelsen, R. B., Úbeda-Flores, M.:
The lattice-theoretic structure of sets of bivariate copulas and quasi-copulas. CR Math. Acad. Sci. Paris 341 (2005), 583–586.
MR 2182439 |
Zbl 1076.62053
[53] Quesada-Molina, J. J., Rodríguez-Lallena, J.-A.:
Some remarks on the existence of doubly stochastic measures with latticework hairpin support. Aequationes Math. 47 (1994), 164–174.
MR 1268029
[54] Riečanová, Z.:
Orthogonal sets in effect algebras. Demonstratio Math. 34 (2001), 525–532.
MR 1853730 |
Zbl 0989.03071
[55] Riečanová, Z.: MacNeille completion of Archimedean lattice effect algebras and their sublattice effect algebras. Preprint.
[56] Riečanová, Z., Junde, Wu:
States on sharply dominating effect algebras. Science in China Series A: Mathematics 51 (2008), 907–914.
MR 2395393
[57] Royden, H. L.:
Real Analysis. Third edition. Macmillan Publishing Company, New York 1988.
MR 1013117 |
Zbl 0704.26006
[59] Tawn, J.:
Bivariate extreme value theory: Models and estimation. Biometrika 75 (1988), 397–415.
MR 0967580 |
Zbl 0653.62045
[60] Vasiliev, T.: Four extended level operators of membership/non-membership over intuitionistic fuzzy sets. In: Proc. Twelfth International Conference on Intuitionistic Fuzzy Sets, Vol. 2 (J. Kacprzyk and K. Atanassov, eds.), Sofia 2008. Notes on Intuitionistic Fuzzy Sets 14 (2008), 100–107.