IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v26y2017i3d10.1007_s10726-016-9493-7.html
   My bibliography  Save this article

Fuzzy Multichoice Games with Fuzzy Characteristic Functions

Author

Listed:
  • Fanyong Meng

    (Nanjing Audit University
    Central South University)

  • Qiang Zhang

    (Beijing Institute of Technology)

  • Xiaohong Chen

    (Central South University)

Abstract

In this paper, a generalized form of fuzzy multichoice games with fuzzy characteristic functions is proposed, which can be seen as an extension of traditional fuzzy games. Based on the extension Hukuhara difference, fuzzy multichoice games with fuzzy characteristic functions are studied, and a Shapley function is discussed. The notion of fuzzy multichoice population monotonic allocation scheme (FMPMAS) is defined. When the given fuzzy multichoice game with fuzzy characteristic functions is convex, we show that the proposed Shapley function is a FMPMAS. Furthermore, two special kinds of fuzzy multichoice games with fuzzy characteristic functions called fuzzy multichoice games with multilinear extension form and fuzzy characteristic functions and fuzzy multichoice games with Choquet integral form and fuzzy characteristic functions are researched.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:grdene:v:26:y:2017:i:3:d:10.1007_s10726-016-9493-7
    DOI: 10.1007/s10726-016-9493-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-016-9493-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10726-016-9493-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Hans Peters & Horst Zank, 2005. "The Egalitarian Solution for Multichoice Games," Annals of Operations Research, Springer, vol. 137(1), pages 399-409, July.
    2. 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.
    3. José Zarzuelo & Marco Slikker & Flip Klijn, 1999. "Characterizations of a multi-choice value," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(4), pages 521-532.
    4. Calvo, Emilio & Santos, Juan Carlos, 2000. "A value for multichoice games," Mathematical Social Sciences, Elsevier, vol. 40(3), pages 341-354, November.
    5. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
    6. 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.
    7. 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.
    8. Tijs, S.H. & Brânzei, R. & Ishihara, S. & Muto, S., 2004. "On cores and stable sets for fuzzy games," Other publications TiSEM 66dd20be-cb4b-4b6d-937e-0, Tilburg University, School of Economics and Management.
    9. Derks, Jean & Peters, Hans, 1993. "A Shapley Value for Games with Restricted Coalitions," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(4), pages 351-360.
    10. Yan-An Hwang & Yu-Hsien Liao, 2008. "Potential In Multi-Choice Cooperative Tu Games," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(05), pages 591-611.
    11. Yan-An Hwang & Yu-Hsien Liao, 2009. "Equivalence theorem, consistency and axiomatizations of a multi-choice value," Computational Optimization and Applications, Springer, vol. 45(4), pages 597-613, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Oğuzhan Ahmet Arık & Erkan Köse & Jeffrey Yi-Lin Forrest, 2019. "Project Staff Scheduling with Theory of Coalition," Group Decision and Negotiation, Springer, vol. 28(4), pages 827-847, August.
    2. Josep Freixas & Montserrat Pons, 2021. "An Appropriate Way to Extend the Banzhaf Index for Multiple Levels of Approval," Group Decision and Negotiation, Springer, vol. 30(2), pages 447-462, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. David Lowing & Kevin Techer, 2022. "Marginalism, egalitarianism and efficiency in multi-choice games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(4), pages 815-861, November.
    2. Fanyong Meng & Xiaohong Chen & Chunqiao Tan, 2016. "Cooperative fuzzy games with interval characteristic functions," Operational Research, Springer, vol. 16(1), pages 1-24, April.
    3. David Lowing & Kevin Techer, 2021. "Marginalism, Egalitarianism and E ciency in Multi-Choice Games," Working Papers halshs-03334056, HAL.
    4. David Lowing, 2023. "Allocation rules for multi-choice games with a permission tree structure," Annals of Operations Research, Springer, vol. 320(1), pages 261-291, January.
    5. S. Béal & A. Lardon & E. Rémila & P. Solal, 2012. "The average tree solution for multi-choice forest games," Annals of Operations Research, Springer, vol. 196(1), pages 27-51, July.
    6. David Lowing & Makoto Yokoo, 2023. "Sharing values for multi-choice games: an axiomatic approach," Working Papers hal-04018735, HAL.
    7. Brânzei, R. & Tijs, S.H. & Zarzuelo, J., 2007. "Convex Multi-Choice Cooperative Games and their Monotonic Allocation Schemes," Other publications TiSEM 5549df35-acc3-4890-be43-4, Tilburg University, School of Economics and Management.
    8. M. Albizuri, 2009. "The multichoice coalition value," Annals of Operations Research, Springer, vol. 172(1), pages 363-374, November.
    9. Yu-Hsien Liao, 2012. "Converse consistent enlargements of the unit-level-core of the multi-choice games," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(4), pages 743-753, December.
    10. Branzei, R. & Tijs, S. & Zarzuelo, J., 2009. "Convex multi-choice games: Characterizations and monotonic allocation schemes," European Journal of Operational Research, Elsevier, vol. 198(2), pages 571-575, October.
    11. Brânzei, R. & Tijs, S.H. & Zarzuelo, J., 2007. "Convex Multi-Choice Cooperative Games and their Monotonic Allocation Schemes," Discussion Paper 2007-54, Tilburg University, Center for Economic Research.
    12. 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.
    13. Hsiao, Chih-Ru & Chiou, Wen-Lin, 2009. "Modeling a Multi-Choice Game Based on the Spirit of Equal Job opportunities," MPRA Paper 15285, University Library of Munich, Germany.
    14. Yu-Hsien Liao, 2017. "Fuzzy games: a complement-consistent solution, axiomatizations and dynamic approaches," Fuzzy Optimization and Decision Making, Springer, vol. 16(3), pages 257-268, September.
    15. Brânzei, R. & Llorca, N. & Sánchez-Soriano, J. & Tijs, S.H., 2007. "Multi-Choice Total Clan Games : Characterizations and Solution Concepts," Other publications TiSEM 31aee267-f432-46c8-b078-1, Tilburg University, School of Economics and Management.
    16. 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.
    17. 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.
    18. Yan-An Hwang & Yu-Hsien Liao, 2008. "The solutions for multi-choice games: TU games approach," Economics Bulletin, AccessEcon, vol. 3(43), pages 1-7.
    19. 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.
    20. Tido Takeng, Rodrigue, 2022. "Uncertain production environment and communication structure," Journal of Mathematical Economics, Elsevier, vol. 102(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:grdene:v:26:y:2017:i:3:d:10.1007_s10726-016-9493-7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.