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Shapley mappings and the cumulative value for n-person games with fuzzy coalitions

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  • Butnariu, Dan
  • Kroupa, Tomas

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  • Butnariu, Dan & Kroupa, Tomas, 2008. "Shapley mappings and the cumulative value for n-person games with fuzzy coalitions," European Journal of Operational Research, Elsevier, vol. 186(1), pages 288-299, April.
    • Handle: RePEc:eee:ejores:v:186:y:2008:i:1:p:288-299
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    References listed on IDEAS

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    1. Tsurumi, Masayo & Tanino, Tetsuzo & Inuiguchi, Masahiro, 2001. "A Shapley function on a class of cooperative fuzzy games," European Journal of Operational Research, Elsevier, vol. 129(3), pages 596-618, March.
    2. Aubin, Jean-Pierre, 1981. "Locally lipschitz cooperative games," Journal of Mathematical Economics, Elsevier, vol. 8(3), pages 241-262, October.
    3. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
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    Cited by:

    1. Keyzer, Michiel & van Wesenbeeck, Cornelia, 2011. "Optimal coalition formation and surplus distribution: Two sides of one coin," European Journal of Operational Research, Elsevier, vol. 215(3), pages 604-615, December.
    2. Xin Jiang & Yuyu Liu & Ranhang Zhao, 2019. "A Framework for Ecological Compensation Assessment: A Case Study in the Upper Hun River Basin, Northeast China," Sustainability, MDPI, vol. 11(4), pages 1-13, February.
    3. Fanyong Meng & Qiang Zhang & Xiaohong Chen, 2017. "Fuzzy Multichoice Games with Fuzzy Characteristic Functions," Group Decision and Negotiation, Springer, vol. 26(3), pages 565-595, May.
    4. Li, Deng-Feng, 2012. "A fast approach to compute fuzzy values of matrix games with payoffs of triangular fuzzy numbers," European Journal of Operational Research, Elsevier, vol. 223(2), pages 421-429.
    5. Mojtaba Sadegh & Najmeh Mahjouri & Reza Kerachian, 2010. "Optimal Inter-Basin Water Allocation Using Crisp and Fuzzy Shapley Games," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(10), pages 2291-2310, August.
    6. Hsien-Chung Wu, 2019. "Cores and dominance cores of cooperative games endowed with fuzzy payoffs," Fuzzy Optimization and Decision Making, Springer, vol. 18(2), pages 219-257, June.
    7. Li, Shujin & Zhang, Qiang, 2009. "A simplified expression of the Shapley function for fuzzy game," European Journal of Operational Research, Elsevier, vol. 196(1), pages 234-245, July.
    8. Fanyong Meng & Xiaohong Chen & Chunqiao Tan, 2016. "Cooperative fuzzy games with interval characteristic functions," Operational Research, Springer, vol. 16(1), pages 1-24, April.
    9. Fanyong Meng & Xiaohong Chen, 2016. "Cooperative Fuzzy Games with Convex Combination Form," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(01), pages 1-25, February.
    10. Zijun Li & Fanyong Meng, 2023. "The potential and consistency of the Owen value for fuzzy cooperative games with a coalition structure," Fuzzy Optimization and Decision Making, Springer, vol. 22(3), pages 387-414, September.
    11. Liu, Dehai & Ji, Xiaoxian & Tang, Jiafu & Li, Hongyi, 2020. "A fuzzy cooperative game theoretic approach for multinational water resource spatiotemporal allocation," European Journal of Operational Research, Elsevier, vol. 282(3), pages 1025-1037.

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