IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v31y2022i6d10.1007_s10726-022-09794-x.html
   My bibliography  Save this article

Combination Generalized Grey Target Decision Method for Mixed Attributes Based on Zero-Sum Game Theory

Author

Listed:
  • Jinshan Ma

    (Henan Polytechnic University)

  • Zhiqi Yuan

    (Henan Polytechnic University)

  • Guanghua Zheng

    (Henan Polytechnic University)

  • Fushan Lang

    (Henan Polytechnic University)

Abstract

Generalized grey target decision method (GGTDM) for mixed attributes has different decision-making bases (DMBs) owing to different mechanisms. A combination GGTDM based on zero-sum game theory is proposed to obtain the desirable decision-making effect by fully using the characteristics and information of different DMB based GGTDMs. First, two players are set to compete in the zero-sum game. One player takes different DMB based GGTDMs as the set of his strategies, while the other player adopts the alternatives as the other player’s set of strategies. Then, the ranking values of all alternatives decided by different GGTDMs are converted into scores by equivalent way, and the scores are regarded as the payoffs of the two players. Next, the zero-sum game based linear programming model is built to obtain the solutions when reaching the Nash equilibrium. Finally, the combination decision-making values of all alternatives can be calculated based on the strategy solutions for all GGTDMs. And the decision making is based on the value with which the smaller the better. The application analysis verifies that the proposed method has its feasible and can make full use of the advantages of different DMB based GGTDMs and avoid their shortcomings.

Suggested Citation

  • Jinshan Ma & Zhiqi Yuan & Guanghua Zheng & Fushan Lang, 2022. "Combination Generalized Grey Target Decision Method for Mixed Attributes Based on Zero-Sum Game Theory," Group Decision and Negotiation, Springer, vol. 31(6), pages 1121-1143, December.
    • Handle: RePEc:spr:grdene:v:31:y:2022:i:6:d:10.1007_s10726-022-09794-x
    DOI: 10.1007/s10726-022-09794-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-022-09794-x
    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/s10726-022-09794-x?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. Chengguang Lai & Xiaohong Chen & Xiaoyu Chen & Zhaoli Wang & Xushu Wu & Shiwei Zhao, 2015. "A fuzzy comprehensive evaluation model for flood risk based on the combination weight of game theory," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 77(2), pages 1243-1259, June.
    2. Sarbast Moslem & Muhammet Gul & Danish Farooq & Erkan Celik & Omid Ghorbanzadeh & Thomas Blaschke, 2020. "An Integrated Approach of Best-Worst Method (BWM) and Triangular Fuzzy Sets for Evaluating Driver Behavior Factors Related to Road Safety," Mathematics, MDPI, vol. 8(3), pages 1-20, March.
    3. Lingjie Sun & Yingyi Liu & Boyang Zhang & Yuwei Shang & Haiwen Yuan & Zhao Ma, 2016. "An Integrated Decision-Making Model for Transformer Condition Assessment Using Game Theory and Modified Evidence Combination Extended by D Numbers," Energies, MDPI, vol. 9(9), pages 1-22, August.
    4. Jinshan Ma & Changsheng Ji, 2014. "Generalized Grey Target Decision Method for Mixed Attributes Based on Connection Number," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-8, April.
    5. Liao, Huchang & Wu, Xingli & Mi, Xiaomei & Herrera, Francisco, 2020. "An integrated method for cognitive complex multiple experts multiple criteria decision making based on ELECTRE III with weighted Borda rule," Omega, Elsevier, vol. 93(C).
    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. Dianfa Wu & Zhiping Yang & Ningling Wang & Chengzhou Li & Yongping Yang, 2018. "An Integrated Multi-Criteria Decision Making Model and AHP Weighting Uncertainty Analysis for Sustainability Assessment of Coal-Fired Power Units," Sustainability, MDPI, vol. 10(6), pages 1-27, May.
    2. Shanshan Hu & Xiangjun Cheng & Demin Zhou & Hong Zhang, 2017. "GIS-based flood risk assessment in suburban areas: a case study of the Fangshan District, Beijing," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 87(3), pages 1525-1543, July.
    3. Niloofar Vahabzadeh Najafi & Alireza Arshadi Khamseh & Abolfazl Mirzazadeh, 2020. "An Integrated Sustainable and Flexible Supplier Evaluation Model under Uncertainty by Game Theory and Subjective/Objective Data: Iranian Casting Industry," Global Journal of Flexible Systems Management, Springer;Global Institute of Flexible Systems Management, vol. 21(4), pages 309-322, December.
    4. Jiefeng Liu & Hanbo Zheng & Yiyi Zhang & Hua Wei & Ruijin Liao, 2017. "Grey Relational Analysis for Insulation Condition Assessment of Power Transformers Based Upon Conventional Dielectric Response Measurement," Energies, MDPI, vol. 10(10), pages 1-16, October.
    5. Issouf Fofana & Yazid Hadjadj, 2018. "Power Transformer Diagnostics, Monitoring and Design Features," Energies, MDPI, vol. 11(12), pages 1-5, November.
    6. Wanying Zhong & Yue Wang, 2022. "A study on the spatial and temporal variation of urban integrated vulnerability in Southwest China," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 114(3), pages 2855-2882, December.
    7. Álvarez, Xana & Gómez-Rúa, María & Vidal-Puga, Juan, 2019. "Risk prevention of land flood: A cooperative game theory approach," MPRA Paper 91515, University Library of Munich, Germany.
    8. Hong Lv & Xinjian Guan & Yu Meng, 2020. "Comprehensive evaluation of urban flood-bearing risks based on combined compound fuzzy matter-element and entropy weight model," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 103(2), pages 1823-1841, September.
    9. Xianhui Mao & Ankui Hu & Rui Zhao & Fei Wang & Mengkun Wu, 2023. "Evaluation and Application of Surrounding Rock Stability Based on an Improved Fuzzy Comprehensive Evaluation Method," Mathematics, MDPI, vol. 11(14), pages 1-19, July.
    10. Fatih Ecer & Tolga Murat & Hasan Dinçer & Serhat Yüksel, 2024. "A fuzzy BWM and MARCOS integrated framework with Heronian function for evaluating cryptocurrency exchanges: a case study of Türkiye," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 10(1), pages 1-29, December.
    11. Wenhui Zeng & Jiayuan Fan & Zhichao Ren & Xiaoyu Liu & Shuang Lv & Yuqian Cao & Xiao Xu & Junyong Liu, 2023. "Economic Evaluation Method of Modern Power Transmission System Based on Improved Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) and Best-Worst Method-Anti-Entropy Weight," Energies, MDPI, vol. 16(21), pages 1-21, October.
    12. Hao Chen & Zongxue Xu & Yang Liu & Yixuan Huang & Fang Yang, 2022. "Urban Flood Risk Assessment Based on Dynamic Population Distribution and Fuzzy Comprehensive Evaluation," IJERPH, MDPI, vol. 19(24), pages 1-17, December.
    13. Wei Jian & Shanshan Li & Chengguang Lai & Zhaoli Wang & Xiangju Cheng & Edmond Yat-Man Lo & Tso-Chien Pan, 2021. "Evaluating pluvial flood hazard for highly urbanised cities: a case study of the Pearl River Delta Region in China," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 105(2), pages 1691-1719, January.
    14. Mo Wang & Xiaoping Fu & Dongqing Zhang & Siwei Lou & Jianjun Li & Furong Chen & Shan Li & Soon Keat Tan, 2023. "Urban agglomeration waterlogging hazard exposure assessment based on an integrated Naive Bayes classifier and complex network analysis," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 118(3), pages 2173-2197, September.
    15. Dávid Baranyai & Tibor Sipos, 2022. "Black-Spot Analysis in Hungary Based on Kernel Density Estimation," Sustainability, MDPI, vol. 14(14), pages 1-13, July.
    16. Tian Dong & Churan Feng & Bangguo Yue & Zhengdong Zhang, 2024. "An Evaluation Model of Urban Green Space Based on Residents’ Physical Activity," Sustainability, MDPI, vol. 16(10), pages 1-26, May.
    17. Zhiming Li & Zhengxi Fan & Shiguang Shen, 2018. "Urban Green Space Suitability Evaluation Based on the AHP-CV Combined Weight Method: A Case Study of Fuping County, China," Sustainability, MDPI, vol. 10(8), pages 1-15, July.
    18. Zhiqiang Zhang & Ling Li & Qiuyu Guo, 2022. "The Interactive Relationships between the Tourism-Transportation-Ecological Environment System of Provinces along the ‘Silk Road Economic Belt’ in China," Sustainability, MDPI, vol. 14(5), pages 1-33, March.
    19. Qingfu Li & Huade Zhou & Qiang Ma & Linfang Lu, 2021. "Evaluation of Serviceability of Canal Lining Based on AHP–Simple Correlation Function Method–Cloud Model: A Case Study in Henan Province, China," Sustainability, MDPI, vol. 13(21), pages 1-25, November.
    20. Yijun Shi & Guofang Zhai & Shutian Zhou & Yuwen Lu & Wei Chen & Jinyang Deng, 2019. "How Can Cities Respond to Flood Disaster Risks under Multi-Scenario Simulation? A Case Study of Xiamen, China," IJERPH, MDPI, vol. 16(4), pages 1-18, February.

    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:31:y:2022:i:6:d:10.1007_s10726-022-09794-x. 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.