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Cites:

Information Journal Paper

Title

Determining approximate efficient solutions of multiobjective optimization problems using the combined constrained scalarization method

Pages

  113-128

Abstract

 In this paper, approximate efficient (-efficient) solutions of Multiobjective optimization problems are investigated. One of the most important methods for solving Multiobjective optimization problems is to use scalarization techniques. In these methods, a single objective optimization problem corresponding to the multiobjective problem is solved, and the relationship between optimal solutions of the single objective problem and (weakly, properly) efficient solutions of the multiobjective problem is investigated. In this paper, a combination of the modified constrained and elastic constrained scalarization methods is considered, which will provide necessary and sufficient conditions for generating approximate (weakly, properly) efficient solutions. We compare the results with the necessary and sufficient conditions obtained from the modified constrained and the elastic constrained methods. The presented results can be applied for every Multiobjective optimization problem without any convexity assumption for the objective functions. Unlike many of the previous methods, the obtained results are also consistent with multiobjective problems with unbounded criterion space.

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    • Cite

    APA: Copy

    Ghaznavi, Mehrdad, AKBARI, FERESHTEH, & KHORRAM, ESMAILE. (2020). Determining approximate efficient solutions of multiobjective optimization problems using the combined constrained scalarization method. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 6(25 ), 113-128. SID. https://sid.ir/paper/955433/en

    Vancouver: Copy

    Ghaznavi Mehrdad, AKBARI FERESHTEH, KHORRAM ESMAILE. Determining approximate efficient solutions of multiobjective optimization problems using the combined constrained scalarization method. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2020;6(25 ):113-128. Available from: https://sid.ir/paper/955433/en

    IEEE: Copy

    Mehrdad Ghaznavi, FERESHTEH AKBARI, and ESMAILE KHORRAM, “Determining approximate efficient solutions of multiobjective optimization problems using the combined constrained scalarization method,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 6, no. 25 , pp. 113–128, 2020, [Online]. Available: https://sid.ir/paper/955433/en

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