IDEAS home Printed from https://ideas.repec.org/a/spr/fuzinf/v5y2013i1d10.1007_s12543-013-0130-8.html
   My bibliography  Save this article

Duality theorems in fuzzy optimization problems

Author

Listed:
  • H. Mishmast Nehi

    (University of Sistan and Baluchestan)

  • A. Drayab

    (University of Sistan and Baluchestan)

Abstract

Several duality formulation and theorems, and relationship between them in fuzzy programming problems have been studied in literature by various authors under different conditions. In this paper, by considering a partial order relation on the set of fuzzy numbers, and convexity with differentiability of fuzzy mappings, we discuss duality theorems and relationships between them in fuzzy optimization problems with fuzzy coefficients.

Suggested Citation

  • H. Mishmast Nehi & A. Drayab, 2013. "Duality theorems in fuzzy optimization problems," Fuzzy Information and Engineering, Springer, vol. 5(1), pages 87-98, March.
    • Handle: RePEc:spr:fuzinf:v:5:y:2013:i:1:d:10.1007_s12543-013-0130-8
    DOI: 10.1007/s12543-013-0130-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12543-013-0130-8
    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/s12543-013-0130-8?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. K. Gupta & Debasis Dangar, 2010. "Duality in fuzzy quadratic programming with exponential membership functions," Fuzzy Information and Engineering, Springer, vol. 2(4), pages 337-346, December.
    2. Chong-zhi Song & You-qun Zhao, 2010. "Fuzzy multi-objective optimization of passive suspension parameters," Fuzzy Information and Engineering, Springer, vol. 2(1), pages 87-100, March.
    3. Panigrahi, Motilal & Panda, Geetanjali & Nanda, Sudarsan, 2008. "Convex fuzzy mapping with differentiability and its application in fuzzy optimization," European Journal of Operational Research, Elsevier, vol. 185(1), pages 47-62, February.
    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. Vishnu Singh & Shiv Prasad Yadav & Sujeet Kumar Singh, 2021. "Duality theory in Atanassov’s intuitionistic fuzzy mathematical programming problems: Optimistic, pessimistic and mixed approaches," Annals of Operations Research, Springer, vol. 296(1), pages 667-706, January.
    2. R. Osuna-Gómez & B. Hernández-Jiménez & Y. Chalco-Cano & G. Ruiz-Garzón, 2018. "Different optimum notions for fuzzy functions and optimality conditions associated," Fuzzy Optimization and Decision Making, Springer, vol. 17(2), pages 177-193, June.
    3. Mansi Verma & Chuei Yee Chen & Adem Kılıçman & Gafurjan Ibragimov & Fong Peng Lim, 2022. "Sufficient Conditions for the Existence and Uniqueness of Minimizers for Variational Problems under Uncertainty," Mathematics, MDPI, vol. 10(19), pages 1-15, October.
    4. Nanxiang Yu & Dong Qiu, 2017. "The Karush-Kuhn-Tucker Optimality Conditions for the Fuzzy Optimization Problems in the Quotient Space of Fuzzy Numbers," Complexity, Hindawi, vol. 2017, pages 1-8, August.
    5. Md Sadikur Rahman & Ali Akbar Shaikh & Irfan Ali & Asoke Kumar Bhunia & Armin Fügenschuh, 2021. "A Theoretical Framework for Optimality Conditions of Nonlinear Type-2 Interval-Valued Unconstrained and Constrained Optimization Problems Using Type-2 Interval Order Relations," Mathematics, MDPI, vol. 9(8), pages 1-22, April.
    6. Tadeusz Antczak, 2023. "Optimality conditions for invex nonsmooth optimization problems with fuzzy objective functions," Fuzzy Optimization and Decision Making, Springer, vol. 22(1), pages 1-21, March.
    7. Amin Mansoori & Sohrab Effati & Mohammad Eshaghnezhad, 2018. "A neural network to solve quadratic programming problems with fuzzy parameters," Fuzzy Optimization and Decision Making, Springer, vol. 17(1), pages 75-101, 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:spr:fuzinf:v:5:y:2013:i:1:d:10.1007_s12543-013-0130-8. 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.