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Optimality and duality for complex multi-objective programming

  • * Corresponding author: Tone-Yau Huang

    * Corresponding author: Tone-Yau Huang 

The first author is supported by MOST 109-2115-M-035-002, Taiwan

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  • We consider a complex multi-objective programming problem (CMP). In order to establish the optimality conditions of problem (CMP), we introduce several properties of optimal efficient solutions and scalarization techniques. Furthermore, a certain parametric dual model is discussed, and their duality theorems are proved.

    Mathematics Subject Classification: Primary: 90C46, 90C29; Secondary: 49K35.


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  • Figure 1.  The graphs of Example 2.1

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