Multi-valued measures in DEA in the presence of undesirable outputs

Toloo, Mehdi; Hančlová, Jana

doi:10.1016/j.omega.2019.01.010

Cited by 21 publications

(6 citation statements)

References 43 publications

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“…Within a traditional DEA model, it is more desirable to input few resources to produce more outputs: nonetheless, in practicality, the process of production results in a sort of another unintended output called undesirable (bad) output for which is not preferred. For instance, pollution and hazardous waste in the process of production in the industries represent undesirable output of which less is needed but inescapably produced (Han et al 2018;Toloo and Hančlová 2019). Bian et al (2020) use per capita GDP and SO 2 , waste water and dust as variables and applied super-efficiency DEA approach to measure eco-efficiency in 278 Chinese cities.…”

Section: Environmental Efficiency Using Dea Methodsmentioning

confidence: 99%

The influence of technological innovation and human capital on environmental efficiency among different regions in Asia-Pacific

Twum

Long

Salman

et al. 2021

Environ Sci Pollut Res

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This study employs super-efficiency DEA model with desirable inputs and an undesirable output in calculating environmental efficiency values in different regions in Asia-Pacific from 1990 to 2018. The study compares environmental efficiency index in South East Asia, South Asia and East Asia. The study also evaluates the determinants of environmental efficiency using truncated regression. The mean environmental efficiency score demonstrates that East Asia region is highly efficient whereas South East Asia is the least efficient. Results from the truncated regression established an inverted U-shape relationship between environmental efficiency and Technological Innovation (TI) in the main panel, and the three regions. Also, economic growth shows an inverted "U" shape link with environmental efficiency in the panels except in South East Asia. Human capital promotes environmental efficiency in the main panel and the rest of the regions. Moreover, while FDI promotes environmental efficiency in the main panel and East Asia, it reduces environmental efficiency in both South East and South Asia regions within the Asia-Pacific. In addition, an interaction effect between technological innovation and renewable energy use, advances environmental efficiency within the entire study countries. Based on the findings the study proposes several policy recommendations.

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Section: Environmental Efficiency Using Dea Methodsmentioning

confidence: 99%

The influence of technological innovation and human capital on environmental efficiency among different regions in Asia-Pacific

Twum

Long

Salman

et al. 2021

Environ Sci Pollut Res

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“…In Definition 6, Formula (20) shows the upward order of the self-evaluation results of of DMU i in the set {θ i1 , . .…”

Section: The Oce-cross Efficiency Aggregation Methodsmentioning

confidence: 99%

“…Other DMUs are not considered, allowing the construction of a neutral cross efficiency model. Many scholars have proposed secondary goals to solve this problem [19,20].…”

Section: Cross Efficiency Modelsmentioning

confidence: 99%

Efficiency Evaluation of a Forestry Green Economy under a Multi-Dimensional Output Benefit in China—Based on Evidential Reasoning and the Cross Efficiency Model

Huang

et al. 2022

Sustainability

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The efficiency evaluation of forestry green economy development is related to the direction of forestry development and plays an important role in balancing the economic and environmental issues within that forestry development. The existing research faces three challenges: first, the output indicator is singular; second, the perspective of a self-assessment is extremely limited; and third, the multi perspective fusion method is not in line with the mechanism of the cross efficiency evaluation model. To address these challenges and the characteristics of forestry development output, we constructed multi-level output indicators from four aspects: ecology, economy, society, and sustainability and used evidence reasoning to combine the output indicators. Based on the perspective of a cross evaluation among peers, four different cross efficiency values are defined from the evaluation relationship between the different decision-making units to obtain economic–aggressive, social–neutral, ecological–benevolent, sustainable–neutral, and comprehensive–neutral cross efficiencies. According to the relationship between self- and cross evaluation, an order conditional entropy cross efficiency aggregation model has been proposed and used to analyze the development efficiency of the forestry green economy in 31 Chinese provinces in 2019. Considering the uneven distribution of the forestry resources in China, the development in the 31 provinces and cities is divided into four types by discussing the relationship between the output indicators and efficiency, while the reasons for the unbalanced development and the poor comprehensive development are discussed according to five cross efficiencies.

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“…Weak disposability Grosskopf, (2000, (2003); Färe et al, (1993); Korhonen and Luptacik, (2004) Data translation Reciprocal Golany and Roll, (1989) Additive inverses Aliakbarpoor and Izadikhah, (2012b); Maghbouli et al, (2014) Liu et al, (2015; Fusco et al, (2019); Halkos and Petrou, (2019); Piao et al, (2019); Toloo and Hančlová, (2019); Zhang and Cui, (2020); Zhou et al, (2019)…”

Section: Referencesmentioning

confidence: 99%

A Modified-Range Directional Measure for Assessing the Sustainability of Suppliers by DEA/UTASTAR

Izadikhah

Saen

Ehsanifar

2022

Journal of Global Information Management

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Sustainability in the supply chain means considering environmental, social, and economic practices. Conventional data envelopment analysis (DEA) models deal with desirable, discretionary, and nonnegative data. However, there might be undesirable outputs, nondiscretionary factors, and negative data. On the other hand, some criteria can be considered as outputs and inputs. These factors are named as the dual-role criteria. The objective of this paper is to develop a non-radial DEA model for dealing with negative data in the presence of undesirable, non-discretionary, and dual-role factors in weight restrictions context. The ordinal regression method, UTASTAR, is performed to define priorities in terms of criteria. The capabilities of the proposed method are compared with other methods. A case study is presented in which the best sustainable suppliers of SAPCO are selected. To check the importance of dual-role variables, two extra cases are considered.

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Multi-valued measures in DEA in the presence of undesirable outputs

Cited by 21 publications

References 43 publications

The influence of technological innovation and human capital on environmental efficiency among different regions in Asia-Pacific

The influence of technological innovation and human capital on environmental efficiency among different regions in Asia-Pacific

Efficiency Evaluation of a Forestry Green Economy under a Multi-Dimensional Output Benefit in China—Based on Evidential Reasoning and the Cross Efficiency Model

A Modified-Range Directional Measure for Assessing the Sustainability of Suppliers by DEA/UTASTAR

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