COALITIONAL GAME WITH FUZZY PAYOFFS AND CREDIBILISTIC SHAPLEY VALUE

\bibitem{Aumann64} R. Aumann and M. Maschler, {\it  The bargainning set
for cooperative games}, Advances in Game Theory, Annals of
Mathematics Studies, {\bf 52} (1964), 443-476.

\bibitem{Aumann74} R. Aumann and L. S. Shapley, {\it Values of non-atomic games}, Princeton University,
Princeton, 1974.

\bibitem{Aubin81} J. P. Aubin, {\it Cooperative fuzzy games}, Mathematical Operation
Research, {\bf 6} (1981), 1-13.

\bibitem{Butnariu78} D. Butnariu, {\it Fuzzy games: a description of the
concept}, Fuzzy Sets and Systems, {\bf 1} (1978), 181-192.

\bibitem{Butnariu80} D. Butnariu, {\it Stability and shapley value for an n-persons fuzzy games}, Fuzzy Sets and Systems, {\bf 4} (1980), 63-72.

\bibitem{Butnariu96} D. Butnariu and E. P. Klement, {\it Core, value and equilibria for market games: on a problem of Aumann and Shapley},  International Journal of Game Theory, {\bf 18} (1996), 149-160.

\bibitem{Campos92} L. Campos, A. Gonzalez and M. A. Vila, {\it On the use of the ranking function approach to solve fuzzy
matrix games in a direct way}, Fuzzy Sets and Systems, {\bf 49} (1992), 193-203.

\bibitem{dubios88} D.~Dubois and H.~Prade, {\it Possibility theory},
Plenum, New York, 1988.

\bibitem{Gao05} J.~Gao, and B.~Liu, {\it Fuzzy multilevel programming with a hybrid intelligent
algorithm}, Computer \& Mathmatics with applications, {\bf 49} (2005), 1539-1548.

\bibitem{Gao07} J. Gao, {\it Credibilistic game with fuzzy
information}, Journal of Uncertain Systems, {\bf 1(1)} (2007), 72-78.

\bibitem{Gao09} J. Gao, Z. Q. Liu and P. Shen, {\it On characterization of fuzzy-payoff two-player zero-sum game}, Soft Computing, {\bf 13(2)} (2009), 127-132.
\bibitem{Gao111} J. Gao, {\it Fuzzy dependent-chance multilevel programming with applications}, Journal of Universal Computer Science, to be Published.
\bibitem{Gao112} J. Gao and Y. Yu, {\it Credibilistic extensive game with fuzzy information}, Soft Computing, to be Published.

\bibitem{Harsanyi95}  J. C. Harsanyi, {\it Games with incomplete information},
 The American Economic Review, {\bf 85(3)} (1995), 291-303.

\bibitem{Gao101} R. Liang, Y. Yu, J. Gao and Z. Q. Liu, {\it N-person credibilistic strategic game}, Frontiers of Computer Science in China, {\bf 4(2)} (2010), 212-219.
\bibitem{Liu02} B.~Liu and Y.~Liu, {\it Expected value of fuzzy variable and fuzzy
expected value models}, IEEE Transactions on Fuzzy Systems, {\bf 10} (2002), 445-450.

\bibitem{Liu03} Y. Liu and B. Liu, {\it Expected value operator of random fuzzy variable and random
fuzzy expected value models}, International Journal of
Uncertainty, Fuzziness \& Knowledge-Based Systems, {\bf 11(2)} (2003), 195-215.

\bibitem{Liubook04} B.~Liu, {\it Uncertainty theory: an introduction to its axiomatic
foundations}, Springer-Verlag, Berlin, 2004.

\bibitem{Liu06} B. Liu, {\it A survey of credibility theory}, Fuzzy Optimization and Decision Making,
{\bf 5(4)} (2006), 387-408.

\bibitem{Liu07} Y. Liu and J. Gao, {\it The dependence of fuzzy variables with applications
to fuzzy random optimization}, International Journal of
Uncertainty, Fuzziness \& Knowledge-Based Systems, {\bf 15} (2007), 1-20.

\bibitem{Liubook07} B.~Liu, {\it Uncertainty theory}, 2nd Edition, Springer-Verlag, Berlin, 2007.

\bibitem{Neumann44} J. Von Neumann and D. Morgenstern, {\it The theory of games in economic bahavior},
New York: Wiley, 1944.

\bibitem{Maeda00} T. Maeda, {\it Characterization of the equilibrium strategy of the bimatrix
game with fuzzy payoff}, Journal of Mathematical Analysis and
Applications, {\bf 251} (2000), 885-896.

\bibitem{Maeda03} T. Maeda, {\it Characterization of the equilibrium strategy of the two-person
zero-sum game with fuzzy payoff}, Fuzzy Sets and Systems, {\bf 139} (2003), 283-296.

\bibitem{Mares94} M. Mare\u{s}, {\it Computation over fuzzy quantities}, CRC-Press, 1994.

\bibitem{Mares00} M. Mare\u{s}, {\it Fuzzy coalitions structures}, Fuzzy Sets
and Systems, {\bf 114(1)} (2000), 23-33.

\bibitem{Mares01} M. Mare\u{s}, {\it Fuzzy cooperative games}, Physica-Verlag, Heidelberg, 2001.

\bibitem{Maschler79} M. Mashler, B. Peleg and L. S. Shapley, {\it Geometric
properties of the kernel, nucleolus and related solution concepts},
 Mathematics Operational Research, {\bf 4} (1979), 303-337.

\bibitem{Nishizaki00} I. Nishizaki and M. Sakawa, {\it Equilibrium solutions for multiobjective bimatrix games with fuzzy payoffs
and fuzzy goals}, Fuzzy Sets and Systems, {\bf 111(1)} (2000), 99-116.

\bibitem{Nishizaki00a} I. Nishiizaki and M. Sakawa, {\it Fuzzy cooperative games
arising from linear production programming problems with fuzzy
parameters}, Fuzzy sets and Systems, {\bf 114(1)} (2000), 11-21.

\bibitem{Nishizaki00b} I. Nishiizaki and M. Sakawa, {\it Solutions based
on fuzzy goals in fuzzy linear programming games}, Fuzzy Sets
and Systems, {\bf 115(1)} (2000), 105-109.

\bibitem{Shapley53} L. S. Shapley, {\it A value for n-persons games}, Annals of Mathematics Studies, {\bf 28} (1953), 307-318.

\bibitem{Shapley54} L. S. Shapley and M. Shubik, {\it A method for evaluating
the distribution of power in committee systerm}, American
Politics Science Review, {\bf 48} (1954), 787-792.

\bibitem{Schmeidler69} D. Schmeidler, {\it The nucleolus of a
characteristic function games}, Journal of Applied Mathematics
{\bf 17} (1969), 1163-1170.

\bibitem{Gao102} P. Shen and J. Gao, {\it Coalitional game with fuzzy information and credibilistic core}, Soft Computing, DOI: 10.1007/s00500-010-0632-9, 2010.

%\bibitem{Peleg03} B. Peleg, {\em Introdutin to the theory of cooperative
%game}, Kluswer Academic Publishers, Boston, 2003.

\bibitem{zadeh65}  L. A. Zadeh, {\it Fuzzy sets}, Information and Control, {\bf 8}(1965), 338-353.

\bibitem{zadeh78} L. A. Zadeh, {\it Fuzzy sets as a basis for a theory of
possibility}, Fuzzy Sets and Systems, {\bf 1}(1978), 3-28.\vspace{-.3 cm}