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Furthermore, they discussed the relationships between superefficiency and other proper efficiencies.
If we can get the relationship between tightly proper efficiency and superefficiency, then we can get the relationships between tightly proper efficiency and other proper efficiencies.
For other results for proper efficiencies in optimization problems with generalized convexity and generalized constraints, we refer to [24 26] and the references therein.
For example, Gong et al. [1] introduced the concept of radial tangent cone and presented several kinds of necessary and sufficient conditions for some proper efficiencies, Kasimbeyli [2] gave necessary and sufficient optimality conditions based on the concept of the radial epiderivatives.
As it is shown in Figure 1, all assays possessed proper efficiencies calculated from the slopes of calibration curves.
Similar(55)
To eliminate such anomalous efficient points, various concepts of proper efficiency have been introduced [19 22].
This new definition of proper efficiency provide a new trade-off of a given properly efficient solution which can be new area of research.
To eliminate such abnormal efficient points, there are many papers to introduce various concepts of proper efficiency; see [1 8].
He called this new definition proper efficiency.
Benson [1] defined proper efficiency as follows.
efficiency, weak efficiency and proper efficiency [1, 2].
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