IDEAS home Printed from https://ideas.repec.org/a/spr/fuzinf/v5y2013i3d10.1007_s12543-013-0151-3.html
   My bibliography  Save this article

Linear programming with triangular fuzzy numbers—A case study in a finance and credit institute

Author

Listed:
  • S. H. Nasseri

    (University of Mazandaran)

  • E. Behmanesh

    (University of Mazandaran)

Abstract

The objective of this paper is to deal with a kind of fuzzy linear programming problem involving triangular fuzzy numbers. Then some interesting and fundamental results are achieved which in turn lead to a solution of fuzzy linear programming models without converting the problems to the crisp linear programming models. Finally, the theoretical results are also supported by a real case study in a banking system. The same idea is emphasized to be also useful when a general LR fuzzy numbers is given.

Suggested Citation

  • S. H. Nasseri & E. Behmanesh, 2013. "Linear programming with triangular fuzzy numbers—A case study in a finance and credit institute," Fuzzy Information and Engineering, Springer, vol. 5(3), pages 295-315, September.
    • Handle: RePEc:spr:fuzinf:v:5:y:2013:i:3:d:10.1007_s12543-013-0151-3
    DOI: 10.1007/s12543-013-0151-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12543-013-0151-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s12543-013-0151-3?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
    ---><---

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

    References listed on IDEAS

    as
    1. S.H. Nasseri & A. Ebrahimnejad, 2010. "A fuzzy primal simplex algorithm and its application for solving flexible linear programming problems," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 4(3), pages 372-389.
    2. A. Ebrahimnejad & Seyed Hadi Nasseri, 2010. "A dual simplex method for bounded linear programmes with fuzzy numbers," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(6), pages 762-779.
    3. A. Ebrahimnejad & S. H. Nasseri, 2009. "Using complementary slackness property to solve linear programming with fuzzy parameters," Fuzzy Information and Engineering, Springer, vol. 1(3), pages 233-245, September.
    4. S. H. Nasseri & N. Mahdavi-Amiri, 2009. "Some duality results on linear programming problems with symmetric fuzzy numbers," Fuzzy Information and Engineering, Springer, vol. 1(1), pages 59-66, March.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Abdoulaye Compaor¨¦ & Kounhinir Som¨¦ & Joseph Poda & Blaise Som¨¦, 2018. "Efficiency of MOMA-plus Method to Solve Some Fully Fuzzy L-R Triangular Multiobjective Linear Programs," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(2), pages 77-87, April.

    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. Anila Gupta & Amit Kumar & Mahesh Kumar Sharma, 2013. "Applications of fuzzy linear programming with generalized LR flat fuzzy parameters," Fuzzy Information and Engineering, Springer, vol. 5(4), pages 475-492, December.
    2. Zeinab Kheiri & Faezeh Zahmatkesh & Bing-Yuan Cao, 2013. "New method to posynomial geometric programming of trapezoidal fuzzy numbers," Fuzzy Information and Engineering, Springer, vol. 5(3), pages 373-380, September.
    3. A. Ebrahimenjad, 2011. "A new link between output-oriented BCC model with fuzzy data in the present of undesirable outputs and MOLP," Fuzzy Information and Engineering, Springer, vol. 3(2), pages 113-125, June.
    4. Reza Ghanbari & Khatere Ghorbani-Moghadam & Nezam Mahdavi-Amiri, 2021. "A time variant multi-objective particle swarm optimization algorithm for solving fuzzy number linear programming problems using modified Kerre’s method," OPSEARCH, Springer;Operational Research Society of India, vol. 58(2), pages 403-424, June.
    5. Ali Ebrahimnejad, 2015. "A duality approach for solving bounded linear programming problems with fuzzy variables based on ranking functions and its application in bounded transportation problems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(11), pages 2048-2060, August.
    6. A. Ebrahimnejad & S. H. Nasseri, 2009. "Using complementary slackness property to solve linear programming with fuzzy parameters," Fuzzy Information and Engineering, Springer, vol. 1(3), pages 233-245, September.
    7. Jagdeep Kaur & Amit Kumar, 2013. "A New Method to Find the Unique Fuzzy Optimal Value of Fuzzy Linear Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 156(2), pages 529-534, February.

    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:spr:fuzinf:v:5:y:2013:i:3:d:10.1007_s12543-013-0151-3. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.