Input–output substitutability and strongly monotonic p-norm least distance DEA measures

Two-stage DEA models with undesirable input-intermediate-outputs

“…Weakly free disposability implies that a fixed percent reduction in SO 2 is possible if accompanied by the same percent reduction in the output of electricity holding the inputs remain unchanged. There are many other studies addressing weakly free disposability for final outputs, especially in banking and environment performance evaluation, such as [22,23,26,[33][34][35][36][37][38]. The recent research by…”

Efficiency measurement with a non-convex free disposal hull technology

“…We adapt the proof of Proposition 2 in Fukuyama et al (2014). Choose an arbitrary p-norm (p ∈ [1, ∞]) and consider f AKMS p (x 3 , y 3 ).…”

“…To cope with this problem, Ando et al (2012) introduced a class of weakly monotonic least-distance DEA measures over E by redefining the standard DEA measure. Extending Ando et al's measure (2012), Fukuyama et al (2014) introduced a class of least-distance DEA measures that satisfy strong monotonicity over E. These least-distance-based contributions are defined relative to convex DEA technologies. 3 Regarding FDH technologies, Portela et al (2003) advocated their usefulness for benchmarking purposes and proposed a multi-stage procedure for finding the benchmark unit.…”

Closest targets in environmental efficiency evaluation based on enhanced Russell measure

“…Aparicio and Pastor (2014b) provided a solution for outputoriented models based on an extended production possibility set which is strongly monotonic and suggested by Lim and Zhu (2013) and Räty (2002). Another work is Fukuyama et al (2014), who applied least distance p-norm inefficiency measures that satisfy strong monotonicity over the strongly efficient frontier to obtain the targets. In the latter category, Silva et al (2003) maximized the BRWZ measure proposed by Brockett et al (1997) to obtain the closest targets.…”