IDEAS home Printed from https://ideas.repec.org/a/spr/fuzodm/v21y2022i2d10.1007_s10700-021-09368-7.html
   My bibliography  Save this article

Min–max programming problem with constraints of addition-min-product fuzzy relation inequalities

Author

Listed:
  • Jianjun Qiu

    (Lingnan Normal University)

  • Xiaopeng Yang

    (Hanshan Normal University)

Abstract

In this paper, we study a new type of fuzzy relation system called fuzzy relational inequalities with addition-min-product composition operations to model a peer-to-peer (P2P) file sharing system. Some properties of this addition-min-product system are investigated. We then characterize the structure of the solution set. Furthermore, to reduce the network congestion and improve the stability of data transmission, a min–max programming problem with constraints of addition-min-product fuzzy relation inequalities is established and investigated. We divide this min–max programming problem into several subproblems with the constraint of a single equation. Based on the optimal solutions to these subproblems, we can solve the original fuzzy relation min–max programming problem. Two algorithms, with polynomial computational complexity, are developed to search for an optimal solution to our studied problem. The validity of the algorithms is examined through a numerical example.

Suggested Citation

  • Jianjun Qiu & Xiaopeng Yang, 2022. "Min–max programming problem with constraints of addition-min-product fuzzy relation inequalities," Fuzzy Optimization and Decision Making, Springer, vol. 21(2), pages 291-317, June.
    • Handle: RePEc:spr:fuzodm:v:21:y:2022:i:2:d:10.1007_s10700-021-09368-7
    DOI: 10.1007/s10700-021-09368-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10700-021-09368-7
    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/s10700-021-09368-7?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. Ya-Ling Chiu & Sy-Ming Guu & Jiajun Yu & Yan-Kuen Wu, 2019. "A single-variable method for solving min–max programming problem with addition-min fuzzy relational inequalities," Fuzzy Optimization and Decision Making, Springer, vol. 18(4), pages 433-449, December.
    2. Sy-Ming Guu & Yan-Kuen Wu, 2019. "Multiple objective optimization for systems with addition–min fuzzy relational inequalities," Fuzzy Optimization and Decision Making, Springer, vol. 18(4), pages 529-544, December.
    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. Gang Xiao & Khizar Hayat & Xiaopeng Yang, 2023. "Evaluation and its derived classification in a Server-to-Client architecture based on the fuzzy relation inequality," Fuzzy Optimization and Decision Making, Springer, vol. 22(2), pages 213-245, June.
    2. Yan-Kuen Wu & Ching-Feng Wen & Yuan-Teng Hsu & Ming-Xian Wang, 2022. "Finding minimal solutions to the system of addition-min fuzzy relational inequalities," Fuzzy Optimization and Decision Making, Springer, vol. 21(4), pages 581-603, December.
    3. Yan-Kuen Wu & Ching-Feng Wen & Yuan-Teng Hsu & Ming-Xian Wang, 2022. "Some results for the minimal optimal solution of min-max programming problem with addition-min fuzzy relational inequalities," Fuzzy Optimization and Decision Making, Springer, vol. 21(3), pages 429-454, September.

    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:fuzodm:v:21:y:2022:i:2:d:10.1007_s10700-021-09368-7. 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.