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Optimality Conditions for Fuzzy Number Quadratic Programming with Fuzzy Coefficients

Author

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  • Xue-Gang Zhou
  • Bing-Yuan Cao
  • Seyed Hadi Nasseri

Abstract

The purpose of the present paper is to investigate optimality conditions and duality theory in fuzzy number quadratic programming (FNQP) in which the objective function is fuzzy quadratic function with fuzzy number coefficients and the constraint set is fuzzy linear functions with fuzzy number coefficients. Firstly, the equivalent quadratic programming of FNQP is presented by utilizing a linear ranking function and the dual of fuzzy number quadratic programming primal problems is introduced. Secondly, we present optimality conditions for fuzzy number quadratic programming. We then prove several duality results for fuzzy number quadratic programming problems with fuzzy coefficients.

Suggested Citation

  • Xue-Gang Zhou & Bing-Yuan Cao & Seyed Hadi Nasseri, 2014. "Optimality Conditions for Fuzzy Number Quadratic Programming with Fuzzy Coefficients," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:489893
    DOI: 10.1155/2014/489893
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    References listed on IDEAS

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    1. Liu, Shiang-Tai, 2009. "Quadratic programming with fuzzy parameters: A membership function approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 237-245.
    2. Schwarz, Hans-Gunter, 2006. "Economic materials-product chain models: Current status, further development and an illustrative example," Ecological Economics, Elsevier, vol. 58(2), pages 373-392, June.
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