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Generalized proper efficiency in multiobjective programming. (English) Zbl 0738.90065

Summary: The concept of proper efficiency, introduced by A. M. Geoffrion [J. Math. Anal. Appl. 22, 618–630 (1968; Zbl 0181.22806)] is generalized to cover practical situations where Geoffrion’s definition does not apply. The generalized definition is applied to the relationship between multiobjective programming and scalarized multiobjective programming, and to the duality theory of mathematical programming.

MSC:

90C29 Multi-objective and goal programming
49N15 Duality theory (optimization)

Citations:

Zbl 0181.22806
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References:

[1] Ben-Israel A., Journal of the Australian Mathematical Society, Series B 28 pp 1– (1986) · Zbl 0603.90119
[2] Geoffrion A.M., Journal of Mathematical Analysis and Applications 22 pp 618– (1968) · Zbl 0181.22806
[3] Hanson M.A., Mathematical Programming 37 pp 51– (1987) · Zbl 0622.49005
[4] Hanson M.A., Australian Journal of Statistics 3 pp 67– (1961) · Zbl 0102.15601
[5] Huard P., IBM Journal of Research and Development 6 pp 137– (1962) · Zbl 0116.12403
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