IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v287y2020i2d10.1007_s10479-018-2810-6.html
   My bibliography  Save this article

Matrix games with 2-tuple linguistic information

Author

Listed:
  • Anjali Singh

    (Delhi Technological University)

  • Anjana Gupta

    (Delhi Technological University)

  • Aparna Mehra

    (Indian Institute of Technology Delhi)

Abstract

In this contribution, a two-player constant-sum 2-tuple linguistic matrix game is described, and a linguistic linear programming (LLP) approach is proposed to solve this class of games. The proposed approach can be perceived as a unified mechanism in the sense that it can be adopted to solve linguistic matrix game problems, LLP problems, and linguistic multi-attribute decision-making (MADM) problems. The latter is exhibited by presenting examples of linguistic MADM problems modeled as two-player constant-sum linguistic matrix games with Nature as the second player.

Suggested Citation

  • Anjali Singh & Anjana Gupta & Aparna Mehra, 2020. "Matrix games with 2-tuple linguistic information," Annals of Operations Research, Springer, vol. 287(2), pages 895-910, April.
    • Handle: RePEc:spr:annopr:v:287:y:2020:i:2:d:10.1007_s10479-018-2810-6
    DOI: 10.1007/s10479-018-2810-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-018-2810-6
    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/s10479-018-2810-6?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. Helton Saulo & Leandro Rêgo & Jose Divino, 2013. "Fiscal and monetary policy interactions: a game theory approach," Annals of Operations Research, Springer, vol. 206(1), pages 341-366, July.
    2. Vijay, V. & Chandra, S. & Bector, C.R., 2005. "Matrix games with fuzzy goals and fuzzy payoffs," Omega, Elsevier, vol. 33(5), pages 425-429, October.
    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. Helena Gaspars-Wieloch, 2020. "A New Application for the Goal Programming—The Target Decision Rule for Uncertain Problems," JRFM, MDPI, vol. 13(11), pages 1-14, November.
    2. Helena Gaspars-Wieloch, 2023. "Possible new applications of the interactive programming based on aspiration levels—case of pure and mixed strategies," 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. 31(3), pages 733-749, September.
    3. Shuying Li & Guoping Tu, 2022. "Probabilistic Linguistic Matrix Game Based on Fuzzy Envelope and Prospect Theory with Its Application," Mathematics, MDPI, vol. 10(7), pages 1-30, March.
    4. Helena Gaspars-Wieloch & Dominik Gawroński, 2024. "How can one improve SAW and max-min multi-criteria rankings based on uncertain decision rules?," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 34(1), pages 131-148.

    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. Iraklis Kollias & John Leventides & Vassilios G. Papavassiliou, 2024. "On the solution of games with arbitrary payoffs: An application to an over‐the‐counter financial market," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 29(2), pages 1877-1895, April.
    2. Z. Nikooeinejad & M. Heydari & M. Saffarzadeh & G. B. Loghmani & J. Engwerda, 2022. "Numerical Simulation of Non-cooperative and Cooperative Equilibrium Solutions for a Stochastic Government Debt Stabilization Game," Computational Economics, Springer;Society for Computational Economics, vol. 59(2), pages 775-801, February.
    3. Roger Alejandro Banegas Rivero & Marco Alberto Nunez Ramirez & Sacnicte Valdez Del Rio, 2021. "Interaction of Economic Policy. Lessons on Social Welfare and Risk Premium," Montenegrin Journal of Economics, Economic Laboratory for Transition Research (ELIT), vol. 17(1), pages 7-29.
    4. Muhammad Ali Nasir & Alaa M. Soliman & Muhammad Shahbaz, 2021. "Operational aspect of the policy coordination for financial stability: role of Jeffreys–Lindley’s paradox in operations research," Annals of Operations Research, Springer, vol. 306(1), pages 57-81, November.
    5. Kim, Jeong-Yoo & Choi, Hyung Sun, 2023. "Monetary policy, fiscal policy and cross signal jamming," Journal of Macroeconomics, Elsevier, vol. 75(C).
    6. Roy Cerqueti & Raffaella Coppier, 2016. "A game theoretical analysis of the impact of income inequality and ethnic diversity on fiscal corruption," Annals of Operations Research, Springer, vol. 243(1), pages 71-87, August.
    7. Dang, Jr-Fong & Hong, I-Hsuan, 2013. "The equilibrium quantity and production strategy in a fuzzy random decision environment: Game approach and case study in glass substrates industries," International Journal of Production Economics, Elsevier, vol. 145(2), pages 724-732.
    8. Chunsheng Cui & Zhongwei Feng & Chunqiao Tan, 2018. "Credibilistic Loss Aversion Nash Equilibrium for Bimatrix Games with Triangular Fuzzy Payoffs," Complexity, Hindawi, vol. 2018, pages 1-16, December.
    9. Gu, Cuiling & Wang, Xianjia & Zhao, Jinhua & Ding, Rui & He, Qilong, 2020. "Evolutionary game dynamics of Moran process with fuzzy payoffs and its application," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    10. A. Aggarwal & D. Dubey & S. Chandra & A. Mehra, 2012. "Application of Atanassov’s I-fuzzy set theory to matrix games with fuzzy goals and fuzzy payoffs," Fuzzy Information and Engineering, Springer, vol. 4(4), pages 401-414, December.
    11. Li, Deng-Feng, 2011. "Linear programming approach to solve interval-valued matrix games," Omega, Elsevier, vol. 39(6), pages 655-666, December.
    12. Anelí Bongers & Carmen Díaz-Roldán, 2019. "Stabilization Policies and Technological Shocks: Towards a Sustainable Economic Growth Path," Sustainability, MDPI, vol. 11(1), pages 1-19, January.
    13. Laxminarayan Sahoo, 2019. "Solving matrix games with linguistic payoffs," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(4), pages 484-490, August.
    14. Deng, Xinyang & Liu, Qi & Deng, Yong, 2016. "Matrix games with payoffs of belief structures," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 868-879.
    15. Dat Thanh Nguyen & Viet Anh Hoang, 2020. "Monetary Consequences of Fiscal Stress in a Game Theoretic Framework," Journal of Central Banking Theory and Practice, Central bank of Montenegro, vol. 9(special i), pages 125-164.
    16. S. K. Gupta & Debasis Dangar, 2010. "Duality in fuzzy quadratic programming with exponential membership functions," Fuzzy Information and Engineering, Springer, vol. 2(4), pages 337-346, December.

    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:annopr:v:287:y:2020:i:2:d:10.1007_s10479-018-2810-6. 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.