Quasi-proper efficiency: a quantitative enhanced efficiency

Authors

LATIF POURKARIMI
MASOUD KARIMI

DOI

10.3906/mat-1610-124

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

First Page

1156

Last Page

1165

Recommended Citation

POURKARIMI, LATIF and KARIMI, MASOUD (2018) "Quasi-proper efficiency: a quantitative enhanced efficiency," Turkish Journal of Mathematics: Vol. 42: No. 3, Article 32. https://doi.org/10.3906/mat-1610-124
Available at: https://journals.tubitak.gov.tr/math/vol42/iss3/32