IDEAS home Printed from https://ideas.repec.org/a/igg/jfsa00/v9y2020i4p21-60.html
   My bibliography  Save this article

Measures of Linear and Nonlinear Interval-Valued Hexagonal Fuzzy Number

Author

Listed:
  • Najeeb Alam Khan

    (University of Karachi, Pakistan)

  • Oyoon Abdul Razzaq

    (Bahria University, Karachi, Pakistan)

  • Avishek Chakraborty

    (Department of Basic Sicence, Narula Institute of Technology, Kolkata, India)

  • Sankar Parsad Mondal

    (Department of Applied Science, Maulana Abul Kalam Azad University of Technology, West Bengal, India)

  • Shariful Alam

    (Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, India)

Abstract

In the view of significant exposure of multifarious interval-valued fuzzy numbers in neoteric studies, different measures of interval-valued generalized hexagonal fuzzy numbers (IVGHFN) associated with assorted membership functions (MF) are explored in this article. Considering the symmetricity and asymmetricity of the hexagonal fuzzy structures, the idea of MF is generalized a bit more, to nonlinear membership functions. The construction of level sets, accordingly for each case of linear and nonlinear MF are also carried out. In addition, the concepts of generalized Hukuhara (gH) differentiability for the interval-valued generalized hexagonal fuzzy functions (IVGHFF) are also the main features of this framework. Illustratively, the developed intellects are implemented on a logistic population growth problem, by taking ecological functions as IVGHFFs. For the further numerical demonstrations of the model, artificial neural network with simulated annealing (ANNSA) algorithm is utilized.

Suggested Citation

  • Najeeb Alam Khan & Oyoon Abdul Razzaq & Avishek Chakraborty & Sankar Parsad Mondal & Shariful Alam, 2020. "Measures of Linear and Nonlinear Interval-Valued Hexagonal Fuzzy Number," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 9(4), pages 21-60, October.
    • Handle: RePEc:igg:jfsa00:v:9:y:2020:i:4:p:21-60
    as

    Download full text from publisher

    File URL: http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/IJFSA.2020100102
    Download Restriction: no
    ---><---

    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:igg:jfsa00:v:9:y:2020:i:4:p:21-60. 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: Journal Editor (email available below). General contact details of provider: https://www.igi-global.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.