| Issue |
RAIRO-Oper. Res.
Volume 52, Number 2, April–June 2018
|
|
|---|---|---|
| Page(s) | 383 - 390 | |
| DOI | https://doi.org/10.1051/ro/2017071 | |
| Published online | 22 June 2018 | |
On compromise solutions in multiple objective programming
School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Enghelab Avenue,
Tehran,
Iran
* Corresponding author: e-mail: soleimani@khayam.ut.ac.ir
Received:
20
December
2016
Accepted:
5
October
2017
Compromise solutions, as feasible points as close as possible to the ideal (utopia) point, are important solutions in multiple objective programming. It is known in the literature that each compromise solution is a properly efficient solution if the sum of the image set and conical ordering cone is closed. In this paper, we prove the same result in a general setting without any assumption.
Mathematics Subject Classification: 90C29
Key words: Multiple objective programming / compromise solution / properly efficient solution
© EDP Sciences, ROADEF, SMAI 2018
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