IDEAS home Printed from https://ideas.repec.org/a/ids/ijmore/v15y2019i4p464-497.html
   My bibliography  Save this article

On differentiable harmonic univex fuzzy mappings and its applications to fuzzy mathematical programming problem

Author

Listed:
  • Minakshi Parida
  • Sunita Chand

Abstract

In this paper, harmonic preunivex (H-preunivex) and harmonic preunicave (H-preunicave) fuzzy mappings have been introduced and several interesting results have been obtained related to generalised convexity. By using the concept of differentiability with H-preunivex and H-preunicave fuzzy mappings, harmonic univex (H-univex) and harmonic unicave (Hunicave) fuzzy mappings have been obtained respectively. Furthermore, H-univex and pseudo H-univex fuzzy mappings have been applied to study the sufficient optimality conditions and the duality results for Harmonic univex fuzzy programming problem (HUFP). Moreover, KKT conditions for the HUFP have been studied by using the H-univex fuzzy mappings. Suitable examples have been given to illustrate the results.

Suggested Citation

  • Minakshi Parida & Sunita Chand, 2019. "On differentiable harmonic univex fuzzy mappings and its applications to fuzzy mathematical programming problem," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 15(4), pages 464-497.
    • Handle: RePEc:ids:ijmore:v:15:y:2019:i:4:p:464-497
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=102992
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:ids:ijmore:v:15:y:2019:i:4:p:464-497. 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: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=320 .

    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.