Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
2023
Abstract
In this paper, a complex non- linear programming problem with the two parts (real and imaginary) is considered. The efficient and proper efficient solutions in terms of optimal solutions of related appropriate scalar optimization problems are characterized. Also, the Kuhn-Tuckers' conditions for efficiency and proper efficiency are derived. This paper is divided into two independently parts: The first provides the relationships between the optimal solutions of a complex single-objective optimization problem and solutions of two related real programming problems. The second part is concerned with the theory of a multi-objective optimization in complex space.
Language (ISO)
English
Keywords
Optimization, Complex multi-objective programming, Efficient solution, Kuhn-Tuckers' conditions, Optimal solution, Decision making
Recommended Citation
Alburaikan, Alhanouf; Hamiden Abd El-Wahed Khalifa; and Florentin Smarandache. "On Characterizing Efficient and Properly Efficient Solutions for Multi- Objective Programming Problems in a Complex Space." (2023). https://digitalrepository.unm.edu/math_fsp/740
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
