G. Beliakov, A. Pradera, and T. Calvo, Aggregation Functions: A Guide for Practitioners. Studies in Fuziness and Soft Computing, 2007.

P. Benvenuti, R. Mesiar, and D. Vivona, Monotone Set Functions-Based Integrals, Handbook of measure theory, pp.1329-1379, 2002.
DOI : 10.1016/B978-044450263-6/50034-8

M. Cardin, M. Couceiro, S. Giove, and J. Marichal, AXIOMATIZATIONS OF SIGNED DISCRETE CHOQUET INTEGRALS, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, vol.19, issue.02, pp.193-199, 2011.
DOI : 10.1142/S0218488511006964

M. Couceiro and J. Marichal, Axiomatizations of quasi-polynomial functions on bounded chains, Aequationes mathematicae, vol.78, issue.1-2, pp.195-213, 2009.
DOI : 10.1007/s00010-009-2969-7

M. Couceiro and J. Marichal, Quasi-polynomial functions over bounded distributive lattices, Aequationes mathematicae, vol.79, issue.3, pp.319-334, 2010.
DOI : 10.1007/s00010-010-0039-9
URL : http://arxiv.org/abs/0909.3009

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

M. Couceiro and J. Marichal, Representations and characterizations of polynomial functions on chains, J. Mult.-Valued Logic Soft Comput, vol.16, issue.12, pp.65-86, 2010.

M. Couceiro and J. Marichal, Axiomatizations of Lovász extensions of pseudo-Boolean functions. Fuzzy Sets and Systems, pp.28-38, 2011.

M. Couceiro and J. Marichal, Axiomatizations of quasi-Lov??sz extensions of pseudo-Boolean functions, Aequationes mathematicae, vol.26, issue.2, pp.213-231, 2011.
DOI : 10.1007/s00010-011-0091-0

M. Couceiro and J. Marichal, Polynomial functions over bounded distributive lattices, J. Mult.-Valued Logic Soft Comput, vol.18, pp.3-4247, 2012.
DOI : 10.1007/s00010-010-0039-9
URL : https://hal.archives-ouvertes.fr/hal-01090600

L. M. De-campos and M. J. Bolaños, Characterization and comparison of Sugeno and Choquet integrals. Fuzzy Sets and Systems, pp.61-67, 1992.

M. Grabisch, J. Marichal, R. Mesiar, and E. Pap, Aggregation functions. Encyclopedia of Mathematics and its Applications 127, 2009.
DOI : 10.1017/cbo9781139644150
URL : https://hal.archives-ouvertes.fr/halshs-00445120

M. Grabisch, T. Murofushi, and M. Sugeno, Fuzzy measures and integrals -Theory and applications, volume 40 of Studies in Fuzziness and Soft Computing, 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 : http://doi.org/10.1016/j.disc.2008.01.019

R. Mesiar and A. Mesiarová-zemánková, The Ordered Modular Averages, IEEE Transactions on Fuzzy Systems, vol.19, issue.1, pp.42-50, 2011.
DOI : 10.1109/TFUZZ.2010.2077641

D. M. Topkis, Minimizing a Submodular Function on a Lattice, Operations Research, vol.26, issue.2, pp.305-321, 1978.
DOI : 10.1287/opre.26.2.305

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