IDEAS home Printed from https://ideas.repec.org/a/ids/ijmore/v15y2019i1p33-54.html
   My bibliography  Save this article

Solution of fuzzy multi objective generalised assignment problem

Author

Listed:
  • Supriya Kar
  • Aniruddha Samanta
  • Kajla Basu

Abstract

In this paper, multi objective generalised assignment problem (MOGAP) with fuzzy parameters has been solved using three different approaches. Here, we consider three objective functions which are to be minimised. In the first approach, weighted sum method has been used and the problem is converted into a single objective one and then solved by extremum difference method (EDM) to get the optimal assignment. In the second one, modified fuzzy programming technique (MFPT) has been used for the same problem. Application of linear and exponential membership functions give comparative results with the goal that the better alternative can be obtained. The third one describes multi objective genetic algorithm (MOGA) to find the solution surface and the Pareto optimal front including the optimal assignment. The methods are demonstrated by a suitable numerical example.

Suggested Citation

  • Supriya Kar & Aniruddha Samanta & Kajla Basu, 2019. "Solution of fuzzy multi objective generalised assignment problem," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 15(1), pages 33-54.
    • Handle: RePEc:ids:ijmore:v:15:y:2019:i:1:p:33-54
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=101611
    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:1:p:33-54. 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.