A translation invariant pure DEA model
This short communication complements the DEA model proposed by Lovell and Pastor (Eur. J. Oper. Res. 118 (1999), 46-51), by incorporating both positive and negative criteria in the model. As such, we propose a DEA model, known as pure DEA, using a directional distance function approach.
In this paper, we aim to overcome three major shortcomings of the FDH (Free Disposal Hull) directional distance function through developing two new, named Linear and Fractional CDFDH, complete FDH measures of efficiency. To accomplish this, we integrate the concepts of similarity and FDH directional distance function. We prove that the proposed measures are translation invariant and unit invari...متن کامل
T R a N S L a T I O N Invariance in Data E N V E L O P M E N T Analysis Data Envelopment Analysis (dea) * Translation * Invariance* Affine Displacement * Efficiency * Productivity
Since the original paper by Charnes, Cooper and Rhodes  establishing Data Envelopment Analysis (DEA), a number of theoretical extensions have appeared in the literature (see Seiford ). Many of these extensions and the underlying models were originally proposed to overcome difficulties associated with the data encountered in the course of a particular study (see for example [3,4,5,9]). Ex...متن کامل
In this paper we refined a criteria investigated in [BJKW] for a translation invariant factor state on one dimensional lattice to be pure. However the central aim here is to prove that such a condition is also necessary for a translation invariant factor state to be pure. As an easy fall out we also prove that a translation invariant pure state admits Haag duality property. Further a real latti...متن کامل
In this paper, we give an extension of the Wendel's theorem on KPC-hypergroups. We also show that every translation invariant mapping is corresponding with a unique positive measure on the KPC-hypergroup.متن کامل
In this paper, we study translation invariant surfaces in the 3-dimensional Heisenberg group $rm Nil_3$. In particular, we completely classify translation invariant surfaces in $rm Nil_3$ whose position vector $x$ satisfies the equation $Delta x = Ax$, where $Delta$ is the Laplacian operator of the surface and $A$ is a $3 times 3$-real matrix.متن کامل