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Set-valued cooperative games with fuzzy payoffs. The fuzzy assignment game


  • Monroy, L.
  • Hinojosa, M.A.
  • Mármol, A.M.
  • Fernández, F.R.


In this paper we study cooperative games with fuzzy payoffs. The main advantage of the approach presented is the incorporation into the analysis of the problem of ambiguity inherent in many real-world collective decision situations. We propose extensions of core concepts which maintain the fuzzy nature of allocations, and lead to a more satisfactory study of the problem within the fuzzy context. Finally, we illustrate the extended core concepts and the approach to obtain the corresponding allocations through the analysis of assignment games with uncertain profits.

Suggested Citation

  • Monroy, L. & Hinojosa, M.A. & Mármol, A.M. & Fernández, F.R., 2013. "Set-valued cooperative games with fuzzy payoffs. The fuzzy assignment game," European Journal of Operational Research, Elsevier, vol. 225(1), pages 85-90.
  • Handle: RePEc:eee:ejores:v:225:y:2013:i:1:p:85-90
    DOI: 10.1016/j.ejor.2012.08.024

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    References listed on IDEAS

    1. Suijs, Jeroen & Borm, Peter & De Waegenaere, Anja & Tijs, Stef, 1999. "Cooperative games with stochastic payoffs," European Journal of Operational Research, Elsevier, vol. 113(1), pages 193-205, February.
    2. Fernandez, Francisco R. & Hinojosa, Miguel A. & Puerto, Justo, 2004. "Multi-criteria minimum cost spanning tree games," European Journal of Operational Research, Elsevier, vol. 158(2), pages 399-408, October.
    3. Fernandez, F. R. & Hinojosa, M. A. & Puerto, J., 2004. "Set-valued TU-games," European Journal of Operational Research, Elsevier, vol. 159(1), pages 181-195, November.
    4. Daniel Granot, 1977. "Cooperative Games in Stochastic Characteristic Function Form," Management Science, INFORMS, vol. 23(6), pages 621-630, February.
    5. J. Puerto & F. Fernández & Y. Hinojosa, 2008. "Partially ordered cooperative games: extended core and Shapley value," Annals of Operations Research, Springer, vol. 158(1), pages 143-159, February.
    6. A Emrouznejad & M Zerafat Angiz L & W Ho, 2012. "An alternative formulation for the fuzzy assignment problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(1), pages 59-63, January.
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    Cited by:

    1. Cheng, Jianqiang & Leung, Janny & Lisser, Abdel, 2016. "Random-payoff two-person zero-sum game with joint chance constraints," European Journal of Operational Research, Elsevier, vol. 252(1), pages 213-219.
    2. Uhan, Nelson A., 2015. "Stochastic linear programming games with concave preferences," European Journal of Operational Research, Elsevier, vol. 243(2), pages 637-646.

    More about this item


    Fuzzy sets; Game theory; Assignment games;


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