In the history of DEA, there are two fundamental “Radial” and “Non-radial” approaches for the efficiency measurement. Each approach has its own advantageous and shortcomings. Avkiran et al. (2008) provided a unified framework, named Connected-SBM, for linking these approaches. In the present paper, first, based on the directional distance function we develop the Directional Slack-Based Measures...

Data envelopment analysis (DEA) is a non-parametric technique to measure the efficiencies of a set of decision making units (DMUs) with common crisp inputs and outputs. In real-world problems, however, inputs and outputs typically have some levels of fuzziness. To analyze a DMU with fuzzy input/output data, previous studies provided the fuzzy DEA (FDEA) model and proposed an associated evaluati...

Data envelopment analysis (DEA) mainly utilizes envelopment technology to replace production function in microeconomics. The input and output of decision making units (DMUs) are projected into the attributes to evaluate or measure their performance. However, if the inputs and outputs are linguistically termed or are fuzzy-numbered, conventional DEA can not easily measure the performance. Theref...

This study analyzes the impact of international trade on environmental efficiency. Using a data envelopment analysis (DEA) model that allows us to treat undesirable outputs and super-efficiency beyond unity, we measure the environmental efficiency of four typical air pollutants—SO2, NOx, particulate matter 10 μm or less in diameter, and CO2—for 98 countries for the period 1970–2008. The resulti...

This paper suggests extending scores of technical efficiency as used in, for example, Data Envelopment Analysis (DEA) to efficiency scores defined as so-called fuzzy intervals. Fuzzy scores allow the decision maker to use scores of technical efficiency in combination with other sources of available performance information e.g. expert opinions, key figures etc. In this sense, results of, DEA wil...

The establishment of specific and thoroughly researched criteria to evaluate hospitals’ activity is very important because there is a huge and increasing amount of public resources dedicated to healthcare. Therefore, it is necessary to design a system to evaluate healthcare performance in order to discover and improve potential inefficiencies. With this goal in mind, the purpose of this paper i...

In this paper, we demonstrate how a new network performance/efficiency measure, which captures demands, flows, costs, and behavior on networks, can be used to assess the importance of network components and their rankings. We provide new results regarding the measure, which we refer to as the Nagurney-Qiang measure, or, simply, the N-Q measure, and a previously proposed one, which did not expli...

We introduce a new measure of centrality, the information centrality C , based on the concept of efficient propagation of information over the network. C is defined for both valued and non-valued graphs, and applies to groups and classes as well as individuals. The new measure is illustrated and compared to the standard centrality measures by using a classic network data set.

In this paper, we introduce a new linear programming second-order stochastic dominance (SSD) portfolio efficiency test for portfolios with scenario approach for distribution of outcomes and a new SSD portfolio inefficiency measure. The test utilizes the relationship between CVaR and dual second-order stochastic dominance, and contrary to tests in Post [14] and Kuosmanen [7], our test detects a ...