Finding the extreme efficient solutions of multi-objective pseudo-convex programming problem

In this paper, we present two methods to find the strictly efficient and weakly efficient points of multi-objective programming (MOP) problems in which their objective functions are pseudo-convex and their feasible sets are polyhedrons. The obtained efficient solutions in these methods are the extreme points. Since the pseudo-convex functions are quasi-convex as well, therefore the presented methods can be used to find efficient solutions of the (MOP) problem with the quasi-convex objective functions and the polyhedron feasible set. Two experimental examples are presented.

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Publication Details

Journal
SHILAP Revista de lepidopterología
Published
2025-01-01
DOI
https://doi.org/10.22060/ajmc.2023.22132.1135
Primary Topic
Optimization and Variational Analysis
Type
article
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article

Finding the extreme efficient solutions of multi-objective pseudo-convex programming problem

SHILAP Revista de lepidopterología
Optimization and Variational Analysis
article

Finding the extreme efficient solutions of multi-objective pseudo-convex programming problem

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Abstract

In this paper, we present two methods to find the strictly efficient and weakly efficient points of multi-objective programming (MOP) problems in which their objective functions are pseudo-convex and their feasible sets are polyhedrons. The obtained efficient solutions in these methods are the extreme points. Since the pseudo-convex functions are quasi-convex as well, therefore the presented methods can be used to find efficient solutions of the (MOP) problem with the quasi-convex objective functions and the polyhedron feasible set. Two experimental examples are presented.

SHILAP Revista de lepidopterología
Shiraz University of Technology (IR)
Openalex Percentile: Top 50%
Optimization and Variational Analysis
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