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.


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


Zbl 0181.22806
Full Text: DOI


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