IDEAS home Printed from https://ideas.repec.org/a/gam/jijerp/v13y2016i11p1102-d82390.html
   My bibliography  Save this article

Cost-Sharing of Ecological Construction Based on Trapezoidal Intuitionistic Fuzzy Cooperative Games

Author

Listed:
  • Jiacai Liu

    (College of Transportation and Civil Engineering, Fujian Agriculture and Forestry University, Fuzhou 350002, China)

  • Wenjian Zhao

    (Jinshan College, Fujian Agriculture and Forestry University, Fuzhou 350002, China)

Abstract

There exist some fuzziness and uncertainty in the process of ecological construction. The aim of this paper is to develop a direct and an effective simplified method for obtaining the cost-sharing scheme when some interested parties form a cooperative coalition to improve the ecological environment of Min River together. Firstly, we propose the solution concept of the least square prenucleolus of cooperative games with coalition values expressed by trapezoidal intuitionistic fuzzy numbers. Then, based on the square of the distance in the numerical value between two trapezoidal intuitionistic fuzzy numbers, we establish a corresponding quadratic programming model to obtain the least square prenucleolus, which can effectively avoid the information distortion and uncertainty enlargement brought about by the subtraction of trapezoidal intuitionistic fuzzy numbers. Finally, we give a numerical example about the cost-sharing of ecological construction in Fujian Province in China to show the validity, applicability, and advantages of the proposed model and method.

Suggested Citation

  • Jiacai Liu & Wenjian Zhao, 2016. "Cost-Sharing of Ecological Construction Based on Trapezoidal Intuitionistic Fuzzy Cooperative Games," IJERPH, MDPI, vol. 13(11), pages 1-12, November.
    • Handle: RePEc:gam:jijerp:v:13:y:2016:i:11:p:1102-:d:82390
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1660-4601/13/11/1102/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1660-4601/13/11/1102/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Leng, Mingming & Zhu, An, 2009. "Side-payment contracts in two-person nonzero-sum supply chain games: Review, discussion and applications," European Journal of Operational Research, Elsevier, vol. 196(2), pages 600-618, July.
    2. Viscolani, Bruno, 2012. "Pure-strategy Nash equilibria in an advertising game with interference," European Journal of Operational Research, Elsevier, vol. 216(3), pages 605-612.
    3. SeyedEsfahani, Mir Mehdi & Biazaran, Maryam & Gharakhani, Mohsen, 2011. "A game theoretic approach to coordinate pricing and vertical co-op advertising in manufacturer-retailer supply chains," European Journal of Operational Research, Elsevier, vol. 211(2), pages 263-273, June.
    4. Chevalier-Roignant, Benoît & Flath, Christoph M. & Huchzermeier, Arnd & Trigeorgis, Lenos, 2011. "Strategic investment under uncertainty: A synthesis," European Journal of Operational Research, Elsevier, vol. 215(3), pages 639-650, December.
    5. Jiménez-Losada, Andrés & Fernández, Julio R. & Ordóñez, Manuel & Grabisch, Michel, 2010. "Games on fuzzy communication structures with Choquet players," European Journal of Operational Research, Elsevier, vol. 207(2), pages 836-847, December.
    6. Li, Deng-Feng, 2011. "Linear programming approach to solve interval-valued matrix games," Omega, Elsevier, vol. 39(6), pages 655-666, December.
    7. Ruiz, Luis M & Valenciano, Federico & Zarzuelo, Jose M, 1996. "The Least Square Prenucleolus and the Least Square Nucleolus. Two Values for TU Games Based on the Excess Vector," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(1), pages 113-134.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. Sanjiv Kumar & Ritika Chopra & Ratnesh R. Saxena, 2016. "A Fast Approach to Solve Matrix Games with Payoffs of Trapezoidal Fuzzy Numbers," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-14, December.
    3. Kunter, Marcus, 2012. "Coordination via cost and revenue sharing in manufacturer–retailer channels," European Journal of Operational Research, Elsevier, vol. 216(2), pages 477-486.
    4. Liu, Zhi & Zheng, Xiao-Xue & Li, Deng-Feng & Liao, Chen-Nan & Sheu, Jiuh-Biing, 2021. "A novel cooperative game-based method to coordinate a sustainable supply chain under psychological uncertainty in fairness concerns," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 147(C).
    5. Deng-Feng Li & Yin-Fang Ye, 2018. "Interval-valued least square prenucleolus of interval-valued cooperative games and a simplified method," Operational Research, Springer, vol. 18(1), pages 205-220, April.
    6. Aust, Gerhard & Buscher, Udo, 2014. "Cooperative advertising models in supply chain management: A review," European Journal of Operational Research, Elsevier, vol. 234(1), pages 1-14.
    7. Assarzadegan, Parisa & Rasti-Barzoki, Morteza, 2020. "A game theoretic approach for pricing under a return policy and a money back guarantee in a closed loop supply chain," International Journal of Production Economics, Elsevier, vol. 222(C).
    8. Ma, Peng, 2021. "Optimal generic and brand advertising efforts in a decentralized supply chain considering customer surplus," Journal of Retailing and Consumer Services, Elsevier, vol. 60(C).
    9. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "Axiomatization and implementation of a class of solidarity values for TU-games," Theory and Decision, Springer, vol. 83(1), pages 61-94, June.
    10. Balter, Anne G. & Huisman, Kuno J.M. & Kort, Peter M., 2022. "Effects of creative destruction on the size and timing of an investment," International Journal of Production Economics, Elsevier, vol. 252(C).
    11. Dridi, Dhouha & Ben Youssef, Slim, 2015. "A Game Theoretic Framework for Competing/Cooperating Retailers under price and advertising dependent demand," MPRA Paper 63317, University Library of Munich, Germany.
    12. Alcino Azevedo & Dean Paxson, 2018. "Rivalry and uncertainty in complementary investments with dynamic market sharing," Annals of Operations Research, Springer, vol. 271(2), pages 319-355, December.
    13. Yu, Yanan & He, Yong & Zhao, Xuan, 2021. "Impact of demand information sharing on organic farming adoption: An evolutionary game approach," Technological Forecasting and Social Change, Elsevier, vol. 172(C).
    14. Lukas, Elmar & Welling, Andreas, 2017. "Efficient non-cooperative bargaining despite keeping strategic information private," Journal of Corporate Finance, Elsevier, vol. 42(C), pages 287-294.
    15. Michel Grabisch & Agnieszka Rusinowska, 2020. "k -additive upper approximation of TU-games," PSE-Ecole d'économie de Paris (Postprint) halshs-02860802, HAL.
    16. Chen, Yi & Ding, Shuai & Zheng, Handong & Zhang, Youtao & Yang, Shanlin, 2018. "Exploring diffusion strategies for mHealth promotion using evolutionary game model," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 148-161.
    17. Alain Bensoussan & Benoît Chevalier-Roignant, 2019. "Sequential Capacity Expansion Options," Operations Research, INFORMS, vol. 67(1), pages 33-57, January.
    18. Zheng, Shiyuan & Jiang, Changmin & Fu, Xiaowen, 2021. "Investment competition on dedicated terminals under demand ambiguity," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 150(C).
    19. Thomas Fagart, 2014. "Markovian Equilibrium in a Model of Investment Under Imperfect Competition," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01020398, HAL.
    20. C. Manuel & D. Martín, 2021. "A value for communication situations with players having different bargaining abilities," Annals of Operations Research, Springer, vol. 301(1), pages 161-182, June.

    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:gam:jijerp:v:13:y:2016:i:11:p:1102-:d:82390. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.