Proper efficiency, scalarization and transformation in multi-objective optimization: unified approaches
Zamani,Moslem Soleimani-damaneh,Majid
Zamani,Moslem
Soleimani-damaneh,Majid
Abstract
In this paper, we investigate the relationships between proper efficiency and the solutions of a general scalarization problem in multi-objective optimization. We provide some conditions under which the solutions of the dealt with scalar program are properly efficient and vice versa. We also show that, under some conditions, if the considered general scalar problem is unbounded, then the original multi-objective problem does not have any properly efficient solution. In another part of the work, we investigate a general transformation of the objective functions which preserves proper efficiency. We show that several important results existing in the literature are direct consequences of the results of the present paper.
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Publisher Copyright: © 2020 Informa UK Limited, trading as Taylor & Francis Group.
Date
2022-03
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Keywords
multi-objective optimization, proper efficiency, scalarization, transformation
Citation
Zamani, M & Soleimani-damaneh, M 2022, 'Proper efficiency, scalarization and transformation in multi-objective optimization: unified approaches', Optimization, vol. 71, no. 3, pp. 753-774. https://doi.org/10.1080/02331934.2020.1812602