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Now, we introduce a new notion of super efficiency named S-super efficiency via Assumption (A) in a real locally convex Hausdorff topological vector space and discuss some relations with other super efficiencies.
Then S-super efficiency reduces to the classical super efficiency.
Super efficiency refines the notions of efficiency and other kinds of proper efficiency.
Borwein [8] introduced a new kind of proper efficiency,namely super efficiency.
In this section, we establish scalarization theorems of S-super efficiency for a vector optimization problem with set-valued maps.
As applications, we establish some scalarization theorems and Lagrange multiplier theorems of S-super efficiency for vector optimization problems with set-valued maps.
Then from Lemma 2.1 ii), the S-super efficiency reduces to E-super efficiency proposed by Zhou and Yang in [22].
Then we can easily see that S satisfies Assumption (A) and hence S-super efficiency reduces to ε-super efficiency as proposed by Ling in [10].
This paper proposes a super-efficiency model for measuring aggregative efficiency of multi-period production systems.
As an alternative approach, Anderson and Peterson [13] utilized a super-efficiency method for ranking units in DEA.
In addition to the DEA-CCR and DEA-BCC models, the Super-Efficiency DEA model is employed for the performance measurement of container ports.
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