IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i9p1054-d550095.html
   My bibliography  Save this article

Complex Uncertainty of Surface Data Modeling via the Type-2 Fuzzy B-Spline Model

Author

Listed:
  • Rozaimi Zakaria

    (Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Jalan UMS, Sabah 88400, Malaysia)

  • Abd. Fatah Wahab

    (Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Nerus, Terengganu 21030, Malaysia)

  • Isfarita Ismail

    (Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Jalan UMS, Sabah 88400, Malaysia)

  • Mohammad Izat Emir Zulkifly

    (Faculty of Science, Universiti Teknologi Malaysia, Skudai, Johor Bahru, Johor 81310, Malaysia)

Abstract

This paper discusses the construction of a type-2 fuzzy B-spline model to model complex uncertainty of surface data. To construct this model, the type-2 fuzzy set theory, which includes type-2 fuzzy number concepts and type-2 fuzzy relation, is used to define the complex uncertainty of surface data in type-2 fuzzy data/control points. These type-2 fuzzy data/control points are blended with the B-spline surface function to produce the proposed model, which can be visualized and analyzed further. Various processes, namely fuzzification, type-reduction and defuzzification are defined to achieve a crisp, type-2 fuzzy B-spline surface, representing uncertainty complex surface data. This paper ends with a numerical example of terrain modeling, which shows the effectiveness of handling the uncertainty complex data.

Suggested Citation

  • Rozaimi Zakaria & Abd. Fatah Wahab & Isfarita Ismail & Mohammad Izat Emir Zulkifly, 2021. "Complex Uncertainty of Surface Data Modeling via the Type-2 Fuzzy B-Spline Model," Mathematics, MDPI, vol. 9(9), pages 1-18, May.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:9:p:1054-:d:550095
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/9/1054/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/9/1054/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Rozaimi Zakaria & Abd. Fatah Wahab & R. U. Gobithaasan, 2014. "Fuzzy B-Spline Surface Modeling," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-8, July.
    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. Musavarah Sarwar & Muhammad Akram, 2018. "Certain Algorithms for Modeling Uncertain Data Using Fuzzy Tensor Product B é zier Surfaces," Mathematics, MDPI, vol. 6(3), pages 1-12, March.

    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:gam:jmathe:v:9:y:2021:i:9:p:1054-:d:550095. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.