Optimality and duality for complex multi-objective programming

Tone-Yau Huang; Tamaki Tanaka

doi:10.3934/naco.2021055

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2022, Volume 12, Issue 1: 121-134. Doi: 10.3934/naco.2021055

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Optimality and duality for complex multi-objective programming

Tone-Yau Huang^1, , and
Tamaki Tanaka^2,

1.
No. 100, Wenhwa Road, Seatweeen, Department of Applied Mathematics, Feng Chia University, Taichung, 40724, Taiwan
2.
Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan

^* Corresponding author: Tone-Yau Huang
^* Corresponding author: Tone-Yau Huang

Received: February 29, 2020

Revised: June 30, 2021

Early access: November 2021

Published: March 2022

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

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Abstract

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.

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

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References

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