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On fuzzy random multiobjective quadratic programming

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  • Ammar, E.E.

Abstract

In this paper, a multiobjective quadratic programming problem having fuzzy random coefficients matrix in the objective and constraints and the decision vector are fuzzy pseudorandom variables is considered. First, we show that the efficient solutions of fuzzy quadratic multiobjective programming problems are resolved into series-optimal-solutions of relative scalar fuzzy quadratic programming. Some theorems are proved to find an optimal solution of the relative scalar quadratic multiobjective programming with fuzzy coefficients, having decision vectors as fuzzy variables. At the end, numerical examples are illustrated in the support of the obtained results.

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  • Ammar, E.E., 2009. "On fuzzy random multiobjective quadratic programming," European Journal of Operational Research, Elsevier, vol. 193(2), pages 329-341, March.
    • Handle: RePEc:eee:ejores:v:193:y:2009:i:2:p:329-341
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    5. Alidaee, Bahram & Glover, Fred & Kochenberger, Gary & Wang, Haibo, 2007. "Solving the maximum edge weight clique problem via unconstrained quadratic programming," European Journal of Operational Research, Elsevier, vol. 181(2), pages 592-597, September.
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    Cited by:

    1. Luhandjula, M.K. & Joubert, J.W., 2010. "On some optimisation models in a fuzzy-stochastic environment," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1433-1441, December.
    2. Li, Y.P. & Huang, G.H. & Wang, G.Q. & Huang, Y.F., 2009. "FSWM: A hybrid fuzzy-stochastic water-management model for agricultural sustainability under uncertainty," Agricultural Water Management, Elsevier, vol. 96(12), pages 1807-1818, December.
    3. Li, Y.P. & Huang, G.H. & Zhang, N. & Nie, S.L., 2011. "An inexact-stochastic with recourse model for developing regional economic-ecological sustainability under uncertainty," Ecological Modelling, Elsevier, vol. 222(2), pages 370-379.
    4. Washington Alves Oliveira & Marko Antonio Rojas-Medar & Antonio Beato-Moreno & Maria Beatriz Hernández-Jiménez, 2019. "Necessary and sufficient conditions for achieving global optimal solutions in multiobjective quadratic fractional optimization problems," Journal of Global Optimization, Springer, vol. 74(2), pages 233-253, June.

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