Solving Multiobjective Linear Set Optimization Problems
Year: 2026
Type: article
Abstract: This paper establishes an embedding theorem for solving multiobjective linear set optimization problems. By introducing a partial order through this embedding framework, we formally define three solution concepts, which are optimal solution, Pareto optimal solution, and ideally optimal solution. We derive distinct optimality conditions for each solution type. Furthermore, by specifying an appropriate convex cone, we demonstrate that these solutions can be practically computed by solving equivalent conventional linear programming problems using the simplex method.
Source: Mathematics
DOI: 10.3390/math14203782
Author: Hsien-Chung Wu
Institution: National Kaohsiung Normal University
Language: English
Field: Decision Sciences
Domain: Social Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W7222970601