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Journal of Function Spaces
Volume 2014, Article ID 318764, 12 pages
http://dx.doi.org/10.1155/2014/318764
Research Article

The Cores for Fuzzy Games Represented by the Concave Integral

1Library, Beijing Institute of Technology, Beijing 100081, China
2Department of Information Management, The Central Institute for Correctional Police, Baoding 071000, China

Received 31 October 2013; Accepted 10 January 2014; Published 13 March 2014

Academic Editor: Shusen Ding

Copyright © 2014 Jinhui Pang and Shujin Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. P. Aubin, “Coeur et valeur des jeux flous à paiements latéraux,” Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences A, vol. 279, pp. 891–894, 1974. View at Google Scholar · View at Zentralblatt MATH
  2. D. Butnariu, “Fuzzy games: a description of the concept,” Fuzzy Sets and Systems, vol. 1, no. 3, pp. 181–192, 1978. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  3. M. Tsurumi, T. Tanino, and M. Inuiguchi, “A shapley function on a class of cooperative fuzzy games,” European Journal of Operational Research, vol. 129, no. 3, pp. 596–618, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  4. D. Granot, “Cooperative games in stochastic characteristic function form,” Management Science, vol. 23, no. 6, pp. 621–630, 1977. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  5. F. R. Fernandez, J. Puerto, and M. J. Zafra, “Cores of stochastic cooperative games,” International Game Theory Review, vol. 4, pp. 265–280, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, no. 3, pp. 338–353, 1965. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  7. M. Mareš, “Weak arithmetics of fuzzy numbers,” Fuzzy Sets and Systems, vol. 91, no. 2, pp. 143–153, 1997. View at Publisher · View at Google Scholar · View at Scopus
  8. D. Dubois and H. Prade, “Fundamentals of fuzzy sets,” in The Handbooks of Fuzzy Stes Series, Kluver Academic Publishers, Boston, Mass, USA, 2000. View at Google Scholar · View at Zentralblatt MATH
  9. M. Mareš, “Fuzzy coalition structures,” Fuzzy Sets and Systems, vol. 114, no. 1, pp. 23–33, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  10. M. Mareš, Fuzzy Cooperative Games: Cooperation with Vague Expectations, Physica, New York, NY, USA, 2001.
  11. M. Mareš and M. Vlach, “Linear coalitional games and their fuzzy extensions,” International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems, vol. 9, no. 3, pp. 341–354, 2001. View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  12. S. Borkotokey, “Cooperative games with fuzzy coalitions and fuzzy characteristic functions,” Fuzzy Sets and Systems, vol. 159, no. 2, pp. 138–151, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  13. D. Butnariu, “Stability and Shapley value for an n-persons fuzzy game,” Fuzzy Sets and Systems, vol. 4, no. 1, pp. 63–72, 1980. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  14. D. Butnariu and T. Kroupa, “Shapley mappings and the cumulative value for n-person games with fuzzy coalitions,” European Journal of Operational Research, vol. 186, no. 1, pp. 288–299, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  15. S. Tijs, R. Brânzei, S. Ishihara, and S. Muto, “On cores and stable sets for fuzzy games,” Fuzzy Sets and Systems, vol. 146, no. 2, pp. 285–296, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  16. J. Dow and S. Werlang, “Uncertainty aversion, risk aversion, and the optimal choice of portfolio,” Econometrica, vol. 60, pp. 197–204, 1992. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  17. J. Dow and S. R. D. C. Werlang, “Nash equilibrium under knightian uncertainty: breaking down backward induction,” Journal of Economic Theory, vol. 64, no. 2, pp. 305–324, 1994. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  18. R. J. Weber, “Games in coalitional form,” in Handbook of Game Theory, R. J. Aumann and S. Hart, Eds., vol. 2, Elsevier, Amsterdam, The Netherlands, 1994. View at Google Scholar
  19. Y. Azrieli and E. Lehrer, “Extendable cooperative games,” Journal of Public Economic Theory, vol. 9, no. 6, pp. 1069–1078, 2007. View at Publisher · View at Google Scholar · View at Scopus
  20. E. Lehrer, “A new integral for capacities,” Economic Theory, vol. 39, no. 1, pp. 157–176, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus