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Turkish Journal of Mathematics

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.

DOI

10.3906/mat-1610-124

Keywords

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

First Page

1156

Last Page

1165

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