Geodesic
On compromise solutions in multiple objective programming
RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 383-390

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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.

DOI : 10.1051/ro/2017071
Classification : 90C29
Keywords: Multiple objective programming, compromise solution, properly efficient solution

Soleimani–Damaneh, Majid 1 ; Zamani, Moslem 1

1 
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     author = {Soleimani{\textendash}Damaneh, Majid and Zamani, Moslem},
     title = {On compromise solutions in multiple objective programming},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {383--390},
     publisher = {EDP-Sciences},
     volume = {52},
     number = {2},
     year = {2018},
     doi = {10.1051/ro/2017071},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2017071/}
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Soleimani–Damaneh, Majid; Zamani, Moslem. On compromise solutions in multiple objective programming. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 383-390. doi: 10.1051/ro/2017071

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