J. F. Banzhaf, Weighted voting doesn't work: A mathematical analysis, Rutgers Law Review, vol.19, pp.317-343, 1965.

J. M. Bilbao, Cooperative Games on Combinatorial Structures, 2000.
DOI : 10.1007/978-1-4615-4393-0

J. M. Bilbao and P. H. Edelman, The Shapley value on convex geometries, Discrete Applied Mathematics, vol.103, issue.1-3, pp.33-40, 2000.
DOI : 10.1016/S0166-218X(99)00218-8

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

R. Branzei, D. Dimitrov, and S. Tijs, Models in cooperative game theory: crisp, fuzzy and multichoice games, 2005.

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

J. Deegan and E. W. , A new index of power for simplen-person games, International Journal of Game Theory, vol.22, issue.2, pp.113-123, 1978.
DOI : 10.1007/BF01753239

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

J. Derks and H. Peters, A shapley value for games with restricted coalitions, International Journal of Game Theory, vol.14, issue.4, pp.351-360, 1993.
DOI : 10.1007/BF01240150

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, Cores with restricted cooperation. ZOR ? Methods and Models of Operations Research, pp.405-422, 1989.

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

D. Felsenthal and M. Machover, Ternary voting games, International Journal of Game Theory, vol.48, issue.3, pp.335-351, 1997.
DOI : 10.1007/BF01263275

K. Fujimoto, I. Kojadinovic, and J. L. , Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices, Games and Economic Behavior, vol.55, issue.1, pp.72-99, 2006.
DOI : 10.1016/j.geb.2005.03.002

I. Gilboa and E. Lehrer, Global games, International Journal of Game Theory, vol.10, issue.2, pp.129-147, 1991.
DOI : 10.1007/BF01240274
URL : https://hal.archives-ouvertes.fr/hal-00753233

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, 2003.
URL : https://hal.archives-ouvertes.fr/halshs-00188173

M. Grabisch, . Ch, and . Labreuche, Capacities on lattices and k-ary capacities, 3d Int, Conf. of the European Soc. for Fuzzy Logic and Technology, pp.304-307, 2003.

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, Bi-capacities. Part II: the Choquet integral. Fuzzy Sets and Systems, pp.237-259, 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, 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

J. C. Harsanyi, A bargaining model for the cooperative n-person game, Annals of Mathematics Study, vol.40, pp.325-355, 1959.

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

R. Johnston, On the Measurement of Power: Some Reactions to Laver, Environment and Planning A, vol.12, issue.8, pp.907-914, 1978.
DOI : 10.1068/a100907

E. Kalai and D. Samet, On weighted Shapley values, International Journal of Game Theory, vol.18, issue.5, pp.205-222, 1987.
DOI : 10.1007/BF01756292
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.144.7789

. Ch and . Labreuche, Interaction indices for games with forbidden coalitions, 9th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU'2002), pp.529-534, 2002.

. Ch, M. Labreuche, and . Grabisch, A value for bi-cooperative games, Int. J. of Game Theory

B. Leclerc, Un cours sur les ensembles ordonnés, CAMS, 1997.

T. Murofushi and S. Soneda, Techniques for reading fuzzy measures (III): interaction index, 9th Fuzzy System Symposium, pp.693-696, 1993.

G. Owen, Multilinear Extensions of Games, Management Science, vol.18, issue.5-part-2, pp.64-79, 1972.
DOI : 10.1287/mnsc.18.5.64

G. Owen, Game Theory, 1995.

L. Penrose, The Elementary Statistics of Majority Voting, Journal of the Royal Statistical Society, vol.109, issue.1, 1946.
DOI : 10.2307/2981392

H. Peters and H. Zank, The Egalitarian Solution for Multichoice Games, Annals of Operations Research, vol.14, issue.1, pp.399-409, 2005.
DOI : 10.1007/s10479-005-2270-7

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

A. E. Roth, Essays in honor of Lloyd S. Shapley, chapter Introduction to the Shapley value, pp.1-27, 1988.

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.

L. S. Shapley and M. Shubik, A Method for Evaluating the Distribution of Power in a Committee System., American Political Science Review, vol.48, issue.03, pp.787-792, 1954.
DOI : 10.2307/1951053

P. D. Straffin, Handbook of Game Theory with Economic Applications, Power and stability in politics, pp.1127-1151, 1994.

R. M. Thrall and W. F. Lucas, N-person games in partition function form, Naval Research Logistics Quarterly, vol.10, issue.1, pp.281-293, 1963.
DOI : 10.1002/nav.3800100126

S. Tijs, Bounds for the core and the ? -value, Game Theory and Mathematical Economics, 1981.

G. Vitali, Sulla definizione di integrale delle funzioni di una variabile, Annali di Matematica Pura ed Applicata, Series 4, vol.XVIII, issue.1, pp.111-121, 1925.
DOI : 10.1007/BF02409934

J. Von-neumann and O. Morgenstern, Theory of Games and Economic Behavior, 1944.

R. J. Weber, Probabilistic values for games The Shapley Value, Essays in Honor of Lloyd S. Shapley, pp.101-119, 1988.

R. R. Yager, Families of OWA operators. Fuzzy Sets and Systems, pp.255-271, 1993.

H. P. Young, Monotonic solutions of cooperative games, International Journal of Game Theory, vol.18, issue.3, pp.65-72, 1985.
DOI : 10.1007/BF01769885

J. M. Bilbao, J. R. Fernandez, A. Losada, and E. Lebrón, Bicooperative games, Cooperative games on combinatorial structures, 2000.
DOI : 10.1007/978-0-387-77247-9_8
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.156.5470

R. Branzei, D. Dimitrov, and S. Tijs, Models in cooperative game theory: crisp, fuzzy and multichoice games, 2005.

D. Butnariu and E. P. Klement, Triangular norm-based measures and games with fuzzy coalitions, 1993.
DOI : 10.1007/978-94-017-3602-2

B. A. Davey and H. A. Priestley, Introduction to Lattices and Orders, 1990.
DOI : 10.1017/CBO9780511809088

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

D. Felsenthal and M. Machover, Ternary voting games, International Journal of Game Theory, vol.48, issue.3, pp.335-351, 1997.
DOI : 10.1007/BF01263275

I. Gilboa and E. Lehrer, Global games, International Journal of Game Theory, vol.10, issue.2, pp.129-147, 1991.
DOI : 10.1007/BF01240274
URL : https://hal.archives-ouvertes.fr/hal-00753233

M. Grabisch, k-order additive discrete fuzzy measures and their representation . Fuzzy Sets and Systems, pp.167-189, 1997.

M. Grabisch, An axiomatization of the Shapley value and interaction index for games on lattices, SCIS-ISIS 2004, 2nd Int. Conf. on Soft Computing and Intelligent Systems and 5th Int. Symp. on Advanced Intelligent Systems, 2004.
URL : https://hal.archives-ouvertes.fr/hal-01496288

M. Grabisch, The Shapley value for games on lattices (l-fuzzy games), Int. Conf. on Fuzzy Sets and Soft Computing in Economics and Finance, 2004.
URL : https://hal.archives-ouvertes.fr/hal-01496287

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

T. Murofushi and S. Soneda, Techniques for reading fuzzy measures (III): interaction index, 9th Fuzzy System Symposium, pp.693-696, 1993.

G. Owen, Multilinear extensions of games, Management Sci, 1972.

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

S. Tijs, R. Branzei, S. Ishihara, and S. Muto, On cores and stable sets for fuzzy games. Fuzzy Sets and Systems, pp.285-296, 2004.

R. J. Weber, Probabilistic values for games The Shapley Value. Essays in Honor of Lloyd S. Shapley, pp.101-119, 1976.

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

R. Branzei, D. Dimitrov, and S. Tijs, Models in cooperative game theory: crisp, fuzzy and multichoice games, 2005.

B. A. Davey and H. A. Priestley, Introduction to Lattices and Orders, 1990.
DOI : 10.1017/CBO9780511809088

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 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

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

D. Monderer and D. Samet, Variations on the shapley value, Handbook of Game Theory No III, 2002.

R. B. Myerson, Values of games in partition function form, International Journal of Game Theory, vol.X, issue.1, pp.23-31, 1977.
DOI : 10.1007/BF01770871

H. Peters and H. Zank, The Egalitarian Solution for Multichoice Games, Annals of Operations Research, vol.14, issue.1, pp.399-409, 2005.
DOI : 10.1007/s10479-005-2270-7

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.

R. M. Thrall and W. F. Lucas, N-person games in partition function form, References [1] J.M. Bilbao. Cooperative Games on Combinatorial Structures, pp.281-293, 1963.
DOI : 10.1002/nav.3800100126

J. M. Bilbao, Cooperative Games under Augmenting Systems, SIAM Journal on Discrete Mathematics, vol.17, issue.1, pp.122-133, 2003.
DOI : 10.1137/S0895480102402745
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.20.7138

J. M. Bilbao and P. H. Edelman, The Shapley value on convex geometries, Discrete Applied Mathematics, vol.103, issue.1-3, pp.33-40, 2000.
DOI : 10.1016/S0166-218X(99)00218-8

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

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

Y. Colin-de-verdière, Spectres de graphes, Collection S.M.F, 1998.

N. Deo, Graph Theory with Applications to Engineering and Computer Science, 1974.

P. G. Doyle and J. L. Snell, Random walks and electric networks, 1984.
DOI : 10.5948/UPO9781614440222
URL : http://arxiv.org/abs/math/0001057

P. Dubey, A. Neyman, and R. J. Weber, Value Theory Without Efficiency, Mathematics of Operations Research, vol.6, issue.1, pp.122-128, 1981.
DOI : 10.1287/moor.6.1.122

U. Faigle, Cores with restricted cooperation. ZOR ? Methods and Models of Operations Research, pp.405-422, 1989.

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

A. Honda and M. Grabisch, Entropy of capacities on lattices and set systems, Information Sciences, vol.176, issue.23, pp.3472-3489
DOI : 10.1016/j.ins.2006.02.011
URL : https://hal.archives-ouvertes.fr/hal-00179852

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.

R. J. Weber, Probabilistic values for games The Shapley Value Essays in Honor of Lloyd S. Shapley Monotonic solutions of cooperative games, International Journal of Game Theory, vol.14, pp.101-11965, 1985.

J. M. Bilbao, J. R. Fernandez, A. Losada, and E. Lebrón, Bicooperative games, Cooperative games on combinatorial structures, 2000.

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

D. Felsenthal and M. Machover, Ternary voting games, International Journal of Game Theory, vol.48, issue.3, pp.335-351, 1997.
DOI : 10.1007/BF01263275

M. Grabisch, k-order additive discrete fuzzy measures and their representation . Fuzzy Sets and Systems, pp.167-189, 1997.

M. Grabisch, . Ch, and . Labreuche, Bi-capacities for decision making on bipolar scales, EUROFUSE Workshop on Informations Systems, pp.185-190, 2002.

M. Grabisch, . Ch, and . Labreuche, Interaction between attributes in a general setting for knowledge discovery, 4th Int. JIM Conf. (Journées de l'Informatique Messine) on Knowledge Discovery and Discrete Mathematics, pp.215-222, 2003.

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

. Ch, M. Labreuche, and . Grabisch, A value for bi-cooperative games, Int. J. of Game Theory

T. Murofushi and S. Soneda, Techniques for reading fuzzy measures (III): interaction index, 9th Fuzzy System Symposium, pp.693-696, 1993.

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.

R. J. Weber, Probabilistic values for games The Shapley Value, Essays in Honor of Lloyd S. Shapley, pp.101-119, 1988.

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

A. Chateauneuf and J. Y. Jaffray, Some characterizations of lower probabilities and other monotone capacities through the use of M??bius inversion, Mathematical Social Sciences, vol.17, issue.3, pp.263-283, 1989.
DOI : 10.1016/0165-4896(89)90056-5

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

B. A. Davey and H. A. Priestley, Introduction to Lattices and Orders, 1990.
DOI : 10.1017/CBO9780511809088

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

D. Dubois and H. Prade, Possibility Theory, 1988.
URL : https://hal.archives-ouvertes.fr/hal-01136336

D. Felsenthal and M. Machover, Ternary voting games, International Journal of Game Theory, vol.48, issue.3, pp.335-351, 1997.
DOI : 10.1007/BF01263275

M. Grabisch, The application of fuzzy integrals in multicriteria decision making, European Journal of Operational Research, vol.89, issue.3, pp.445-456, 1996.
DOI : 10.1016/0377-2217(95)00176-X

M. Grabisch, Alternative Representations of Discrete Fuzzy Measures for Decision Making, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, vol.05, issue.05, pp.587-607, 1997.
DOI : 10.1142/S0218488597000440

M. Grabisch, k-order additive discrete fuzzy measures and their representation . Fuzzy Sets and Systems, pp.167-189, 1997.

M. Grabisch, . Ch, and . Labreuche, Bi-capacities, Joint Int. Conf. on Soft Computing and Intelligent Systems and 3d Int. Symp. on Advanced Intelligent Systems, 2002.
URL : https://hal.archives-ouvertes.fr/halshs-00188173

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

T. Murofushi and S. Soneda, Techniques for reading fuzzy measures (III): interaction index, 9th Fuzzy System Symposium, pp.693-696, 1993.

G. Owen, Game Theory, 1995.

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

D. Schmeidler, Subjective Probability and Expected Utility without Additivity, Econometrica, vol.57, issue.3, pp.571-587, 1989.
DOI : 10.2307/1911053
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.295.4096

G. Shafer, A Mathematical Theory of Evidence, 1976.

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.

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

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.

M. Grabisch and M. Roubens, An axiomatic approach of interaction in multicriteria decision making, 5th Eur. Congr. on Intelligent Techniques and Soft Computing (EUFIT'97), pp.81-85, 1997.

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.

L. Fonctions-de-treillis, apparaissent être des outils essentiels en recherche opérationnelle . Elles ouvrent en effet de nouveaux champs d'application en théorie des jeux coopératifs, et en aide à la décision