Assessing the efficiency of environmental regulations of large-scale enterprises based on extended fuzzy data envelopment analysis

Purpose As the functions of environmental regulations cannot be quantified while assessing their environmental efficiency, there has been no comprehensive evaluation of environmental efficiency. The purpose of this paper is to evaluate environmental regulations based on triangular and trapezoidal fuzzy numbers. Design/methodology/approach This paper uses L-R fuzzy numbers to transform the evaluation language into triangular fuzzy numbers, and adopts an α-level flexible slacks-based measurement model to evaluate the performance of these regulations. Trapezoidal fuzzy numbers are combined with a data envelopment analysis model, and an α-slack-based measurement (SBM) model is used to evaluate the environmental efficiency. The α-SBM model is confirmed to be stable and sustainable. Findings Relevant index data from 16,375 enterprises were collected to test the proposed model, and models corresponding to triangular fuzzy numbers and trapezoidal fuzzy numbers were used to evaluate their environmental efficiency. Comparative results showed that the proposed model is feasible and stable. Originality/value The main contributions of this study are twofold. First, this paper provides a valuable evaluation method for environmental regulation. Second, our research improves the practical performance of trapezoidal fuzzy data envelopment analysis and enhances its feasibility and stability.

[1]  Lawrence M. Seiford,et al.  Modeling undesirable factors in efficiency evaluation , 2002, Eur. J. Oper. Res..

[2]  Daniela Fuchs-Hanusch,et al.  A framework for water loss management in developing countries under fuzzy environment: Integration of Fuzzy AHP with Fuzzy TOPSIS , 2016, Expert Syst. Appl..

[3]  G. Grossman,et al.  Economic Growth and the Environment , 1994 .

[4]  Charles D. Kolstad,et al.  Learning and Stock Effects in Environmental Regulation: The Case of Greenhouse Gas Emissions , 1996 .

[5]  Kim Hua Tan,et al.  Benchmarking eco-efficiency in green supply chain practices in uncertainty , 2014 .

[6]  C.A.K. Lovell,et al.  Multilateral Productivity Comparisons When Some Outputs are Undesirable: A Nonparametric Approach , 1989 .

[7]  Peijun Guo,et al.  Fuzzy DEA: a perceptual evaluation method , 2001, Fuzzy Sets Syst..

[8]  Jian-Bo Yang,et al.  Interval efficiency assessment using data envelopment analysis , 2005, Fuzzy Sets Syst..

[9]  Arik Levinson,et al.  Pollution Abatement Costs and Foreign Direct Investment Inflows to U.S. States , 2002, Review of Economics and Statistics.

[10]  Paul Lanoie,et al.  Environmental Policy, Innovation and Performance: New Insights on the Porter Hypothesis , 2011 .

[11]  Qingxian An,et al.  Allocation of carbon dioxide emission permits with the minimum cost for Chinese provinces in big data environment , 2017 .

[12]  Shuhong Wang,et al.  Environmental efficiency evaluation considering the maximization of desirable outputs and its application , 2013, Math. Comput. Model..

[13]  Vipul Jain,et al.  Genetic algorithm based fuzzy time series tourism demand forecast model , 2016, Ind. Manag. Data Syst..

[14]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[15]  M. Esmaeili,et al.  A slacks-based measure of efficiency for the case of exogenously fixed factors , 2009, Expert Syst. Appl..

[16]  Daniel Tyteca,et al.  Linear Programming Models for the Measurement of Environmental Performance of Firms—Concepts and Empirical Results , 1997 .

[17]  Holger Görg,et al.  Research Paper Series Globalisation and Labour Markets International Outsourcing and the Skill Structure of Labour Demand in the United Kingdom International Outsourcing and the Skill Structure of Labour Demand in the United Kingdom , 2022 .

[18]  D. Marconi,et al.  Trade, Technical Progress and the Environment: the Role of a Unilateral Green Tax on Consumption , 2009 .

[19]  Adel Hatami-Marbini,et al.  A taxonomy and review of the fuzzy data envelopment analysis literature: Two decades in the making , 2011, Eur. J. Oper. Res..

[20]  W. Liu,et al.  A modified slacks-based measure model for data envelopment analysis with ‘natural’ negative outputs and inputs , 2007, J. Oper. Res. Soc..

[21]  Maria Elena Bruni,et al.  Benchmarking Sustainable Development via Data envelopment Analysis:an Italian case study , 2011 .

[22]  Chih-Hai Yang,et al.  Environmental regulations, induced R&D, and productivity: Evidence from Taiwan's manufacturing industries , 2012 .

[23]  Ming-Lang Tseng,et al.  Modeling sustainable production indicators with linguistic preferences , 2013 .

[24]  Jie Wu,et al.  Environmental efficiency evaluation based on data envelopment analysis: A review , 2012 .

[25]  Kaishan Song,et al.  Spatial Decision Analysis on Wetlands Restoration in the Lower Reaches of Songhua River (LRSR), Northeast China, Based on Remote Sensing and GIS , 2014 .

[26]  Ireneusz Zbicinski,et al.  Environmental, energy and economic aspects in a zero-emission façade system design , 2016 .

[27]  A. Hailu,et al.  Non‐Parametric Productivity Analysis with Undesirable Outputs: An Application to the Canadian Pulp and Paper Industry , 2001 .

[28]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[29]  Rolf Färe,et al.  Productivity and Undesirable Outputs: A Directional Distance Function Approach , 1995 .

[30]  Teresa León,et al.  A fuzzy mathematical programming approach to the assessment of efficiency with DEA models , 2003, Fuzzy Sets Syst..

[31]  Antonio Marcomini,et al.  Risk-based prioritization methodology for the classification of groundwater pollution sources. , 2015, The Science of the total environment.

[32]  Shu-Cherng Fang,et al.  Fuzzy data envelopment analysis (DEA): a possibility approach , 2003, Fuzzy Sets Syst..

[33]  Ming-Lang Tseng,et al.  Multicriteria analysis of sustainable development indicators in the construction minerals industry in China , 2015 .

[34]  J. Sengupta.  Measuring efficiency by a fuzzy statistical approach , 1992 .

[35]  B. W. Ang,et al.  Slacks-based efficiency measures for modeling environmental performance , 2006 .

[36]  Chiang Kao,et al.  Efficiency of parallel production systems with fuzzy data , 2012, Fuzzy Sets Syst..

[37]  Chiang Kao,et al.  Efficiencies of two-stage systems with fuzzy data , 2011, Fuzzy Sets Syst..

[38]  E. Lee,et al.  Comparison of fuzzy numbers based on the probability measure of fuzzy events , 1988 .

[39]  R. Färe,et al.  Productivity Developments in Swedish Hospitals: A Malmquist Output Index Approach , 1994 .

[40]  Chiang Kao,et al.  Fuzzy efficiency measures in data envelopment analysis , 2000, Fuzzy Sets Syst..

[41]  Ray Y. Zhong,et al.  A customer satisfaction evaluation model for logistics services using fuzzy analytic hierarchy process , 2016, Ind. Manag. Data Syst..

[42]  Peng Zhou,et al.  A non-radial DEA approach to measuring environmental performance , 2007, Eur. J. Oper. Res..