IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/6716819.html
   My bibliography  Save this article

Cosine Similarity Measure of Complex Fuzzy Sets and Robustness of Complex Fuzzy Connectives

Author

Listed:
  • Wenping Guo
  • Lvqing Bi
  • Bo Hu
  • Songsong Dai

Abstract

Complex fuzzy set (CFS), as a generalization of fuzzy set (FS), is characterized by complex-valued membership degrees. By considering the complex-valued membership degree as a vector in the complex unit disk, we introduce the cosine similarity measures between CFSs. Then, we investigate some invariance properties of the cosine similarity measure. Finally, the cosine similarity measure is applied to measure the robustness of complex fuzzy connectives and complex fuzzy inference.

Suggested Citation

  • Wenping Guo & Lvqing Bi & Bo Hu & Songsong Dai, 2020. "Cosine Similarity Measure of Complex Fuzzy Sets and Robustness of Complex Fuzzy Connectives," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-9, July.
    • Handle: RePEc:hin:jnlmpe:6716819
    DOI: 10.1155/2020/6716819
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2020/6716819.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2020/6716819.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/6716819?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Majed Albaity & Tahir Mahmood & Zeeshan Ali, 2023. "Analysis and Applications of Artificial Intelligence in Digital Education Based on Complex Fuzzy Clustering Algorithms," Mathematics, MDPI, vol. 11(14), pages 1-20, July.

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnlmpe:6716819. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.