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Dynamic variational inequality in fuzzy environments

Author

Listed:
  • Xing Wang

    (Jiangxi University of Finance and Economics)

  • Zeng-bao Wu

    (Luoyang Normal University)

  • Yi-bin Xiao

    (University of Electronic Science and Technology of China)

  • Kok Lay Teo

    (Sunway University
    Tianjin University of Finance and Economics)

Abstract

This paper introduces a class of differential fuzzy variational inequalities, the model provides an efficient approach for solving many dynamic multi-objective optimization problems in fuzzy environments. An existence theorem of the Carathéodory weak solution for the model is established under some suitable assumptions. An algorithm, supported by the convergence analysis, is developed to find the solution. In addition, some examples are given to illustrate the application and the algorithm.

Suggested Citation

  • Xing Wang & Zeng-bao Wu & Yi-bin Xiao & Kok Lay Teo, 2020. "Dynamic variational inequality in fuzzy environments," Fuzzy Optimization and Decision Making, Springer, vol. 19(3), pages 275-296, September.
    • Handle: RePEc:spr:fuzodm:v:19:y:2020:i:3:d:10.1007_s10700-020-09322-z
    DOI: 10.1007/s10700-020-09322-z
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    References listed on IDEAS

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Terry L. Friesz, 2010. "Dynamic Optimization and Differential Games," International Series in Operations Research and Management Science, Springer, number 978-0-387-72778-3, April.
    3. Xing Wang & Nan-jing Huang, 2014. "A Class of Differential Vector Variational Inequalities in Finite Dimensional Spaces," Journal of Optimization Theory and Applications, Springer, vol. 162(2), pages 633-648, August.
    4. Xing Wang & Ya-wei Qi & Chang-qi Tao & Yi-bin Xiao, 2017. "A Class of Delay Differential Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 172(1), pages 56-69, January.
    5. Nagurney, Anna & Yu, Min, 2012. "Sustainable fashion supply chain management under oligopolistic competition and brand differentiation," International Journal of Production Economics, Elsevier, vol. 135(2), pages 532-540.
    6. Wang, Xing & Qi, Ya-wei & Tao, Chang-qi & Wu, Qi, 2018. "Existence result for differential variational inequality with relaxing the convexity condition," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 297-306.
    7. Terry L. Friesz, 2010. "Differential Variational Inequalities and Differential Nash Games," International Series in Operations Research & Management Science, in: Dynamic Optimization and Differential Games, chapter 0, pages 267-312, Springer.
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