A Method to Find All Efficient Solutions of an Interval Multiple Objective Linear Programming Problem

Abstract In this paper, we propose a method to find all efficient solutions of an interval multiple objective linear programming (IMOLP) problem with interval coefficients in the objective functions, the constraint matrix, and the right-hand side vector. Up to now, there are no methods that deal with finding all efficient solutions of an IMOLP problem. The proposed method is simple and can be easily implemented. The performance of the proposed method is illustrated by a numerical example.

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Publication Details

Journal
Operations Research Forum
Published
2026-05-21
DOI
https://doi.org/10.1007/s43069-026-00652-z
Primary Topic
Optimization and Mathematical Programming
Type
article
Field-Weighted Citation Impact
0.00

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article

A Method to Find All Efficient Solutions of an Interval Multiple Objective Linear Programming Problem

Ta Van Tu
Operations Research Forum
Optimization and Mathematical Programming
article

A Method to Find All Efficient Solutions of an Interval Multiple Objective Linear Programming Problem

Ta Van Tu
article en

Abstract

Abstract In this paper, we propose a method to find all efficient solutions of an interval multiple objective linear programming (IMOLP) problem with interval coefficients in the objective functions, the constraint matrix, and the right-hand side vector. Up to now, there are no methods that deal with finding all efficient solutions of an IMOLP problem. The proposed method is simple and can be easily implemented. The performance of the proposed method is illustrated by a numerical example.

Operations Research ForumVol. 7(2)
Corvinus University of Budapest (HU)
Budapesti Corvinus Egyetem
Openalex Percentile: Top 6%
Optimization and Mathematical Programming
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