Quasi-proper efficiency: a quantitative enhanced efficiency

Authors: LATIF POURKARIMI, MASOUD KARIMI

Abstract: This paper deals with an extension of proper efficiency that considers bounded and unbounded trade-offs between objective functions. While trade-offs between objective functions are unbounded, the rate of growth for these trade-offs is computed by applying a metric. A new concept, namely quasi-proper efficiency is introduced that shows that rate of growth of trade-off between objective functions. Two appropriate characterizations for this concept are developed: the first one is based on a scalar function utilizing the Chebyshev norm and the second one is in terms of the concept of stability.

Keywords: Multiobjective programming, proper efficiency, quasi-proper efficiency, stable problem

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