E. Algaba, J. M. Bilbao, R. Van-den, A. Brink, and . Jiménez-losada, Cooperative games on antimatroids, Discrete Mathematics, vol.282, issue.1-3, pp.1-15, 2004.
DOI : 10.1016/j.disc.2003.10.019

J. M. Bilbao, J. R. Fernández, N. Jiménez, and J. J. López, The value for bi-cooperative games, Annals of Operations Research

J. M. Bilbao, N. Jiménez, E. Lebrón, and H. Peters, The selectope for games with partial cooperation, Discrete Mathematics, vol.216, issue.1-3, pp.11-27, 2000.
DOI : 10.1016/S0012-365X(99)00294-0

G. Birkhoff, Lattice Theory, 1967.
DOI : 10.1090/coll/025

G. Choquet, Theory of capacities Annales de l'Institut Fourier, pp.131-295, 1953.

D. Denneberg, Non-Additive Measure and Integral, Kluwer Academic, 1994.
DOI : 10.1007/978-94-017-2434-0

D. Denneberg and M. Grabisch, Interaction transform of set functions over a finite set, Information Sciences, vol.121, issue.1-2, pp.15-27, 1999.
DOI : 10.1016/S0020-0255(99)00099-7

P. Doubilet, G. C. Rota, and R. Stanley, On the foundations of combinatorial theory (VI): The idea of generating function, 6th Berkeley Symposium on Mathematical Statistics and Probability, pp.267-318, 1972.

U. Faigle and W. Kern, The Shapley value for cooperative games under precedence constraints, International Journal of Game Theory, vol.25, issue.3, pp.249-266, 1992.
DOI : 10.1007/BF01258278

M. Grabisch, k-order additive discrete fuzzy measures and their representation. Fuzzy Sets and Systems, pp.167-189, 1997.
DOI : 10.1016/s0165-0114(97)00168-1

M. Grabisch, . Ch, and . Labreuche, Bi-capacities. Part I: definition, Möbius transform and interaction. Fuzzy Sets and Systems, pp.211-236, 2005.
URL : https://hal.archives-ouvertes.fr/halshs-00188173

M. Grabisch, . Ch, and . Labreuche, Derivative of functions over lattices as a basis for the notion of interaction between attributes, Annals of Mathematics and Artificial Intelligence, vol.2, issue.6, pp.151-170, 2007.
DOI : 10.1007/s10472-007-9052-7

URL : https://hal.archives-ouvertes.fr/hal-00187172

M. Grabisch and F. Lange, A new approach to the Shapley value for games on lattices, Presented at the 4th Logic, Game Theory and Social Choice meeting, 2005.

M. Grabisch and F. Lange, Games on lattices, multichoice games and the shapley value: a new approach, Mathematical Methods of Operations Research, vol.146, issue.1, pp.153-167, 2007.
DOI : 10.1007/s00186-006-0109-x

URL : https://hal.archives-ouvertes.fr/halshs-00178916

M. Grabisch, J. L. Marichal, and M. Roubens, Equivalent Representations of Set Functions, Mathematics of Operations Research, vol.25, issue.2, pp.157-178, 2000.
DOI : 10.1287/moor.25.2.157.12225

URL : https://hal.archives-ouvertes.fr/hal-01194919

M. Grabisch and M. Roubens, An axiomatic approach to the concept of interaction among players in cooperative games, International Journal of Game Theory, vol.28, issue.4, pp.547-565, 1999.
DOI : 10.1007/s001820050125

P. L. Hammer and S. Rudeanu, Boolean Methods in Operations Research and Related Areas, 1968.
DOI : 10.1007/978-3-642-85823-9

C. R. Hsiao and T. E. Raghavan, Shapley Value for Multichoice Cooperative Games, I, Games and Economic Behavior, vol.5, issue.2, pp.240-256, 1993.
DOI : 10.1006/game.1993.1014

F. Lange and M. Grabisch, Interaction transform for bi-set functions over a finite set, Information Sciences, vol.176, issue.16, pp.2279-2303, 2006.
DOI : 10.1016/j.ins.2005.10.004

URL : https://hal.archives-ouvertes.fr/hal-00186891

G. C. Rota, On the foundations of combinatorial theory I. Theory of Möbius functions, Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, pp.340-368, 1964.

L. S. Shapley, A value for n-person games, Contributions to the Theory of Games II, number 28 in Annals of Mathematics Studies, pp.307-317, 1953.

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