G. Birkhoff, On the combination of subalgebras, Mathematical Proceedings of the Cambridge Philosophical Society, vol.29, issue.4, pp.441-464, 1933.

G. Birkhoff, Lattice Theory, vol.25, 1940.

Q. Brabant and M. Couceiro, Axiomatisation des integrales de Sugeno k-maxitives, Proceedings of the 24th Rencontre francophones sur la Logique Floue et ses Applications, pp.179-186, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01247510

T. Calvo and B. De-baets, Aggregation operators defined by k-order additive/maxitive fuzzy measures, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, vol.6, issue.6, pp.533-550, 1998.

M. Cardin and M. Couceiro, Invariant functionals on completely distributive lattices. Fuzzy Sets and Systems, vol.167, pp.45-56, 2011.

M. Couceiro, D. Dubois, H. Prade, and T. Waldhauser, Decision-making with Sugeno integrals: bridging the gap between multicriteria evaluation and decision under uncertainty, Order, vol.33, issue.3, pp.517-535, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01184340

M. Couceiro and J. Marichal, Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices. Fuzzy Sets and Systems, vol.161, pp.694-707, 2010.

M. Couceiro and J. Marichal, Quasi-polynomial functions over bounded distributive lattices, Aequationes mathematicae, vol.80, issue.3, pp.319-334, 2010.

M. Couceiro and T. Waldhauser, Pseudo-polynomial functions over finite distributive lattices. Fuzzy Sets and Systems, vol.239, pp.21-34, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01090562

Y. Crama and P. L. Hammer, Boolean Functions: Theory, Algorithms, and Applications. Encyclopedia of Mathematics and Its Applications, 2011.

B. A. Davey and H. A. Priestley, Introduction to Lattices and Order, 2002.

D. Dubois, J. Marichal, H. Prade, M. Roubens, and R. Sabbadin, The use of the discrete Sugeno integral in decision-making: a survey, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, vol.9, issue.5, pp.539-561, 2001.

D. Dubois, H. Prade, and A. Rico, Representing qualitative capacities as families of possibility measures, International Journal of Approximate Reasoning, vol.58, pp.3-24, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01145911

D. Dubois, H. Prade, and R. Sabbadin, Qualitative decision theory with Sugeno integrals, Proceedings of the 14th Conference on Uncertainty in Artificial Intelligence, pp.121-128, 1998.

R. O. Duda, P. E. Hart, and D. G. Stork, Pattern Classification, 2012.

R. L. Goodstein, The solution of equations in a lattice, Proceedings of the Royal Society of Edinburgh. Section A, vol.67, pp.231-242, 1965.

M. Grabisch, A new algorithm for identifying fuzzy measures and its application to pattern recognition, Proceedings of the International Joint Conference of the 4th IEEE International Conference on Fuzzy Systems and the 2nd International Fuzzy Engineering Symposium, vol.1, pp.145-150, 1995.

M. Grabisch and C. Labreuche, A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid, Annals of Operations Research, vol.175, issue.1, pp.247-286, 2010.
URL : https://hal.archives-ouvertes.fr/halshs-00496558

M. Grabisch, J. Marichal, R. Mesiar, and E. Pap, Aggregation Functions. Encyclopedia of Mathematics and Its Applications, 2009.
URL : https://hal.archives-ouvertes.fr/halshs-00445120

G. Grätzer and B. A. Davey, General Lattice Theory, 2003.

G. Grätzer, Lattice Theory : Foundation, 2011.

R. Hala?, R. Mesiar, and J. Pócs, A new characterization of the discrete Sugeno integral, Information Fusion, vol.29, pp.84-86, 2016.

E. Hüllermeier and A. F. Tehrani, Efficient learning of classifiers based on the 2additive Choquet integral, Computational Intelligence in Intelligent Data Analysis, pp.17-29, 2013.

J. Marichal, On Choquet and Sugeno integrals as aggregation functions, Fuzzy Measures and Integrals-Theory and Applications, pp.247-272, 2000.

J. Marichal, Weighted lattice polynomials, Discrete Mathematics, vol.309, issue.4, pp.814-820, 2009.
DOI : 10.1016/j.disc.2008.01.019
URL : https://doi.org/10.1016/j.disc.2008.01.019

R. Mesiar, Generalizations of k-order additive discrete fuzzy measures. Fuzzy Sets and Systems, vol.102, pp.423-428, 1999.

L. Mikenina and H. Zimmermann, Improved feature selection and classification by the 2-additive fuzzy measure. Fuzzy Sets and Systems, vol.107, pp.197-218, 1999.

H. Prade, A. Rico, M. Serrurier, and E. Raufaste, Elicitating Sugeno integrals: Methodology and a case study, Proceedings of the 10th European Conference Symbolic and Quantitative Approaches to Reasoning with Uncertainty, pp.712-723, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00533477

S. Rudeanu, Lattice Functions and Equations. Discrete Mathematics and Theoretical Computer Science, 2001.
DOI : 10.1007/978-1-4471-0241-0

M. Sugeno, Theory of fuzzy integrals and its applications, 1974.

A. F. Tehrani, W. Cheng, and E. Hüllermeier, Preference learning using the Choquet integral: The case of multipartite ranking, IEEE Transactions on Fuzzy Systems, vol.20, issue.6, pp.1102-1113, 2012.