Strongly Proper Efficient Solutions: Efficient Solutions with Bounded Trade-Offs

Kazhal Khaledian (), Esmaile Khorram () and Majid Soleimani-damaneh ()
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Kazhal Khaledian: Amirkabir University of Technology
Esmaile Khorram: Amirkabir University of Technology
Majid Soleimani-damaneh: University of Tehran

Journal of Optimization Theory and Applications, 2016, vol. 168, issue 3, No 8, 864-883

Abstract: Abstract In multiple-objective optimization literature, a properly efficient solution has been interpreted as a point in which the trade-offs between all objectives are bounded. In this paper, it is shown that this boundedness does not necessarily hold for problems with three or more objective functions. It is possible that in a properly efficient solution the trade-offs between some objectives are unbounded. To overcome this, in this paper strongly proper efficient solutions are introduced, in which the trade-offs between all objectives are bounded. This notion is defined in different senses, and the relationships between them are investigated. In addition to theoretical discussions, some clarifying examples are given.

Keywords: Multiple-objective optimization; Proper efficiency; Strong proper efficiency; Trade-off; 90C29; 65K05 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-015-0841-6

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