Data envelopment analysis is a relatively “data oriented” approach to measure the efficiency of a set of decision making units which transform multiple inputs into multiple outputs. However, some production processes may generate undesirable outputs like smoke pollution or waste. On the other hand, in many situations, such as a manufacturing system, a production process or a service system, inputs and outputs can be considered as a fuzzy variable. Thus, this paper has presented a new non-radial DEA model based on a modification of Enhanced Russell Model (ERM model) in the presence of an undesirable output in a fuzzy environment. Hereafter, a method for solving the proposed fuzzy DEA model based on the concept of alpha cut and possibility approach is presented. A useful stochastic closeness coefficient is also proposed to present a complete ranking. The proposed methodology is applied to evaluate the efficiencies of barley production farms in 22 provinces in Iran.
Accepté le :
DOI : 10.1051/ro/2017082
Mots clés : Data envelopment analysis (DEA), efficiency, decision making unit (DMU), fuzzy data, undesirable output, possibility approach
@article{RO_2018__52_2_595_0,
author = {Izadikhah, Mohammad and Khoshroo, Alireza},
title = {Energy management in crop production using a novel fuzzy data envelopment analysis model},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {595--617},
publisher = {EDP-Sciences},
volume = {52},
number = {2},
year = {2018},
doi = {10.1051/ro/2017082},
zbl = {1401.90116},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2017082/}
}
TY - JOUR AU - Izadikhah, Mohammad AU - Khoshroo, Alireza TI - Energy management in crop production using a novel fuzzy data envelopment analysis model JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2018 SP - 595 EP - 617 VL - 52 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2017082/ DO - 10.1051/ro/2017082 LA - en ID - RO_2018__52_2_595_0 ER -
%0 Journal Article %A Izadikhah, Mohammad %A Khoshroo, Alireza %T Energy management in crop production using a novel fuzzy data envelopment analysis model %J RAIRO - Operations Research - Recherche Opérationnelle %D 2018 %P 595-617 %V 52 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2017082/ %R 10.1051/ro/2017082 %G en %F RO_2018__52_2_595_0
Izadikhah, Mohammad; Khoshroo, Alireza. Energy management in crop production using a novel fuzzy data envelopment analysis model. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 595-617. doi : 10.1051/ro/2017082. http://www.numdam.org/articles/10.1051/ro/2017082/
[1] , and , Representing a composing fuzzy-DEA model to measure knowledge workers productivity based upon their efficiency and cost effectiveness. J. Univ. Comput. Sci. 17 (2011) 1390–411
[2] , Efficiency Measure by Fuzzy Data Envelopment Analysis Model, Fuzzy Information Eng. 6 (2014) 59–70
[3] , Revenue Efficiency Measurement with Undesirable Data in Fuzzy DEA, in 7th International Conference on Intelligent Systems, Modelling and Simulation (ISMS) (2016) 109–13
[4] and , Evaluation and Ranking DMUs in the Presence of Both Undesirable and Ordinal Factors in Data Envelopment Analysis. Int. J. Automation Comput. 9 (2012) 609–15
[5] and , A procedure for ranking efficient units in data envelopment analysis. Manag. Sci. 39 (1993) 1261–64 | Zbl
[6] , , and , Eco-efficiency measurement and material balance principle: an application in power plants Malmquist Luenberger Index. Ann. Oper. Res. 255 (2017) 221–39 | Zbl
[7] , , and , A new fuzzy DEA model for evaluation of efficiency and effectiveness of suppliers in sustainable supply chain management context. Comput. Oper. Res. 54 (2015) 274–85 | Zbl
[8] , and , Some models for estimating technical and scale inefficiencies in data envelopment analysis. Manag. Sci. 30 (1984) 1078–92 | Zbl
[9] , and , The technical efficiency of the Japanese banks: Non-radial directional performance measurement with undesirable output. Omega 40 (2012) 1–8
[10] , and , Measuring Transport Systems Efficiency Under Uncertainty by Fuzzy Sets Theory Based Data Envelopment Analysis: Theoretical and Practical Comparison with Traditional DEA Model. Trans. Res. Procedia 5 (2015) 186–200
[11] , and , Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2 (1978) 429–44 | Zbl
[12] , A model of fuzzy data envelopment analysis. INFOR 42 (2004) 267–79
[13] , , , and , An overall profit Malmquist productivity index with fuzzy and interval data. Math. Comput. Model. 54 (2011) 2827–38 | Zbl
[14] , and , The State of the Art in Fuzzy Data Envelopment Analysis, in Performance Measurement with Fuzzy Data Envelopment Analysis, edited by and . Berlin Heidelberg: Springer Berlin Heidelberg (2014), 1–45
[15] and , A Comment on Weak Disposability in Nonparametric Production Analysis. Am. J. Agr. Econ. 91 (2009) 535–38
[16] and , Modeling undesirable factors in efficiency evaluation: Comment. Eur. J. Oper. Res. 157 (2004) 242–45 | Zbl
[17] and , Network DEA. Socio-Economic Planning Sci. 34 (2000) 35–49
[18] and , Nonparametric Productivity Analysis with Undesirable Outputs: Comment. Am. J. Agr. Econ. 85 (2003) 1070–74
[19] , , and , Derivation of Shadow Prices for Undesirable Outputs: A Distance Function Approach. The Rev. Econ. Stat. 75 (1993) 374–80
[20] , The Measurement of Productive Efficiency. J. Royal Stat. Soc. Series A 120 (1957) 253–90
[21] Developing a new data envelopment analysis methodology for supplier selection in the presence of both undesirable outputs and imprecise data. Int. J. Adv. Manuf. Technol. 51 (2010) 1243–50
[22] and , Evaluation Decision Units in The Presence of Ordinal and Fuzzy Data. J. Basic Appl. Sci. Res. 3 (2013) 1177–84
[23] and , Evaluation of Decision Making Units in the Presence of Fuzzy and Non-discretionary. Appl. Math. Sci. 7 (2013) 1387–92
[24] , Measuring technical efficiency in a fuzzy environment. Virginia Polytechnic Institute and State University, (1996)
[25] and , An application procedure for DEA. Omega 17 (1989) 237–50
[26] and , Fuzzy DEA: a perceptual evaluation method, Fuzzy Sets Syst. 119 (2001) 149–60
[27] and , Fuzzy DEA: a perceptual evaluation method, Fuzzy Sets and Sys. 119 (2001) 149–60
[28] , and , Self-organizing fuzzy aggregation models to rank the objects with multiple attributes. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 30 (2000) 573–80
[29] , and Undesirable factors in efficiency measurement. Appl. Math. Comput. 163 (2005) 547–52 | Zbl
[30] , , and , Energy efficiency analysis method based on fuzzy DEA cross-model for ethylene production systems in chemical industry. Energy 83 (2015) 685–95
[31] , , and , A flexible cross-efficiency fuzzy data envelopment analysis model for sustainable sourcing. J. Cleaner Prod. In Press (2016)
[32] , and , Fuzzy efficiency measures in data envelopment analysis using lexicographic multiobjective approach. Comput. Ind. Eng. 105 (2017) 362–76
[33] , , , and , Fuzzy evaluation on seismic behavior of reservoir dams duringthe 2008 Wenchuan earthquake, China. Eng. Geology 197 (2015) 1–10
[34] , , and , A fuzzy chance constraint multi objective programming method in data envelopment analysis. Afr. J. Bus. Manag. 5 (2011) 12873–81
[35] , , , and , Sustainable and efficient energy consumption of corn production in Southwest Iran: combination of multi-fuzzy and DEA modeling. Energy 44 (2012) 672–81
[36] , , , and , Carbon efficiency evaluation: An analytical framework using fuzzy DEA. Eur. J. Oper. Res. 253 (2016) 428–40 | Zbl
[37] and Evaluating sustainability of supply chains by two-stage range directional measure in the presence of negative data. Trans. Res. Part D: Trans. Environ. 49 (2016) 110–26
[38] and A new preference voting method for sustainable location planning using geographic information system and data envelopment analysis. J. Cleaner Prod. 137 (2016) 1347–67
[39] , and , How to Assess Sustainability of Suppliers in the Presence of Dual-Role Factor and Volume Discounts? A Data Envelopment Analysis Approach. Asia-Pacific J. Oper. Res. 34 (2017) 1–25 | Zbl
[40] , and , How to assess sustainability of suppliers in volume discount context? A new data envelopment analysis approach. Trans. Res. Part D: Trans. Environ. 51 (2017) 102–21
[41] and , Multi-objective data envelopment analysis model in fuzzy dynamic environment with missing values. Int. J. Adv. Manuf. Technol. 61 (2012) 771–85
[42] , , , , and , Ranking DMUs by l1-norm with fuzzy data in DEA. Chaos, Solitons & Fractals 39 (2009) 2294–302 | Zbl
[43] and , Data envelopment analysis using fuzzy concept, in Multiple-Valued Logic. 28th IEEE Inter. Symposium on Multiple-Valued Logic (1998) 338–43
[44] and , Fuzzy efficiency measures in data envelopment analysis. Fuzzy Sets and Sys. 113 (2000) 427–37 | Zbl
[45] and , Negative data in DEA: a simple proportional distance function approach. J. Oper. Res. Soc. 62 (2011) 1413–19
[46] , Life cycle energy use and greenhouse gas emissions of Australian cotton: Impact of farming systems University of Southern Queensland (2010)
[47] , and , A comprehensive fuzzy DEA model for emerging market assessment and selection decisions. Appl. Soft Comput. 38 (2016) 676–702
[48] , and , An additive model approach for estimating returns to scale in imprecise data envelopment analysis. Appl. Math. Model. 34 (2010) 1247–57 | Zbl
[49] , Energy use pattern and greenhouse gas emission of wheat production: A case study in Iran. Agr. Commun. 2 (2014) 9–14
[50] and , Improving Energy Efficiency Using Data Envelopment Analysis: A Case of Walnut Production, in Managing Service Productivity. Springer (2014) 227–40
[51] , , and , A non-parametric Data Envelopment Analysis approach for improving energy efficiency of grape production. Energy 63 (2013) 189–94
[52] , Analysis of production as an efficient combination of activities, in Activity Analysis of Production and Allocation, edited by New York: John Wiley & Sons (1951) 33–97 | Zbl
[53] and , Eco-efficiency analysis of power plants: An extension of data envelopment analysis. Eur. J. Oper. Res. 154 (2004) 437–46 | Zbl
[54] , Technical efficiencies of rice farms in Thailand: A nonparametric approach, in Hawaii International Conference on Business, Honolulu. (2003)
[55] , Carbon emission from farm operations. Environ. Int. 30 (2004) 981–90
[56] , and A fuzzy method for measuring efficiency under fuzzy environment. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Melbourne, Australia. Springer, Heidelberg (2005)
[57] , , and , A fuzzy mathematical programming approach to the assessment of efficiency with DEA models, Fuzzy Sets Syst. 139 (2003) 407–19 | Zbl
[58] , Fuzzy Data Envelopment Analysis (DEA) (North Carolina State University, 2002) | Zbl
[59] , , and , Fuzzy data envelopment analysis (DEA): a possibility approach. Fuzzy Sets and Sys. 139 (2003) 379–94 | Zbl
[60] , , and , Resource allocation models construction for the reduction of undesirable outputs based on DEA methods, Math. Comput. Model. 58 (2013) 913–26
[61] , and , Production efficiency evaluation of energy companies based on the improved super-efficiency data envelopment analysis considering undesirable outputs. Math. Comput. Model. 58 (2013) 1057–67
[62] , Personnel selection using analytic network process and fuzzy data envelopment analysis approaches. Comput. Ind. Eng. 59(2010) 937–44
[63] , , , and , Two-stage DEA models with undesirable input-intermediate-outputs. Omega 56 (2015) 74–87
[64] , , and , DEA models with undesirable inputs and outputs. Ann. Oper. Res. 173 (2010) 177–94 | Zbl
[65] , , and , The link between operational efficiency and environmental impacts: a joint application of life cycle assessment and data envelopment analysis. Sci. Total Environ. 407 (2009) 1744–54
[66] , and , Two-stage network structures with undesirable outputs: A DEA based approach. Measurement 48 (2014) 109–18
[67] and , An integrated multi-objective Markowitz–DEA cross-efficiency model with fuzzy returns for portfolio selection problem. Appl. Soft Comput. 38 (2016) 1–9
[68] , , , and , A new approach for prioritization in fuzzy AHP with an application for selecting the best tunnel ventilation system. Int. J. Adv. Manuf. Technol. 68 (2013) 2589–99
[69] , , and , Welding process selection for repairing nodular cast iron engine block by integrated fuzzy data envelopment analysis and TOPSIS approaches. Mater. Des. 43 (2013) 272–82
[70] , and An efficiency measurement model in fuzzy environment, using data envelopment analysis, J. Ind. Eng. Int. 1 (2005) 50–58
[71] , and , Optimization of energy consumption and input costs for apple production in Iran using data envelopment analysis. Energy 36 (2011) 909–16
[72] , and , Economic efficiency of smallholder maize producers in Western Kenya: a DEA meta-frontier analysis, Int. J. Oper. Res. 4 (2009) 250–67 | Zbl
[73] , and , An overview of Total Factor Productivity estimations adjusted for pollutant outputs: an application to sugarcane farming. Int. J. Environ. Technol. Manag. 15 (2012) 1–15
[74] and , Efficiency measurement of delivery post offices using fuzzy data envelopment analysis (Possibility approach). Int. J. Traffic Transp. Eng. 2 (2012) 22–29
[75] , , and , A dynamic network efficiency measurement of airports performance considering sustainable development concept: A fuzzy dynamic network-DEA approach. J. Air Trans. Manag. 57 (2016) 272–90
[76] and , Energy for biological systems. CIGR Handbook of Agricultural Eng. 5 (1999) 13–24
[77] , and , An enhanced DEA Russell graph efficiency measure. Eur. J. Oper. Res. 115 (1999) 596–607 | DOI | Zbl
[78] and , Scrutiny Malmquist productivity index on fuzzy data by credibility theory with an application to social security organizations. J. Uncertain. Syst. 7 (2013) 36–49
[79] , Multiple criteria ranking by fuzzy data envelopment analysis. WSEAS Trans. Comput. 5 (2006) 810–16
[80] and , A Fully Fuzzy DEA Approach for Cost and Revenue Efficiency Measurements in the Presence of Undesirable Outputs and Its Application to the Banking Sector in India. Int. J. Fuzzy Sys. 18 (2016) 212–26
[81] and , A fuzzy DEA model with undesirable fuzzy outputs and its application to the banking sector in India. Expert Systems with Appl. 41 (2014) 6419–32
[82] and , Fuzzy Multi-Component DEA with Shared and Undesirable Fuzzy Resources. Int. J. Math. Comput. Phys. Electrical Comput. Eng. 8 (2014) 1207–15
[83] and , Intuitionistic fuzzy data envelopment analysis: An application to the banking sector in India. Expert Syst. Appl. 42 (2015) 4982–98
[84] , , and Modeling fuzzy DEA with Type-2 fuzzy variable coefficients. Lecture Notes in Computer Science.Heidelberg Springer (2009) 25–34
[85] and , Reducing weight flexibility in fuzzy DEA, Appl. Math. Comput. 161 (2005) 611–22 | Zbl
[86] , and , Alternative measures of environmental technology structure in DEA: An application. Eur. J. Oper. Res. 215 (2011) 750–62 | Zbl
[87] , Undesirable outputs in efficiency valuations. Eur. J. Oper. Res. 132 (2001) 400–10 | Zbl
[88] and , Modeling undesirable factors in efficiency evaluation. Eur. J. Oper. Res. 142 (2002) 16–20 | Zbl
[89] , A fuzzy systems approach in data envelopment analysis, Comput. Math. Appl. 24 (1992) 259–66 | Zbl
[90] , Measuring efficiency by a fuzzy statistical approach. Fuzzy Sets Syst. 46 (1992)
[91] , and , A Modified Slacks-Based Measure Model for Data Envelopment Analysis with Natural Negative Outputs and Inputs, J. Oper. Res. Soc. 58 (2007) 1672–77
[92] , and , A novel fuzzy network SBM model for data envelopment analysis: A case study in Iran regional power companies. Energy 112 (2016) 686–97
[93] , , and , A robust optimization approach for imprecise data envelopment analysis. Comput. Ind. Eng. 59 (2010) 387–97
[94] , and , Computational and theoretical pitfalls in some current performance measurement techniques and a new approach. Appl. Math. Comput. 181 (2006) 1199–207 | Zbl
[95] , and , An undesirable-output-considered super-efficiency DEA model and its illustration in evaluation of thermoelectric enterprises. J. Intel. Fuzzy Sys. 27 (2014) 1507–17 | Zbl
[96] and , A new two-stage Stackelberg fuzzy data envelopment analysis model. Measurement 53 (2014) 277–96
[97] , , , and , Chanceconstrained DEA models with random fuzzy inputs and outputs. Knowl. Based Syst. 52 (2013) 32–52
[98] and , Fuzzy data envelopment analysis: a fuzzy expected value approach. Expert Syst. Appl. 38 (2011) 11678–85
[99] , and , Fuzzy data envelopment analysis based upon fuzzy arithmetic with an application to performance assessment of manufacturing enterprises. Expert Syst. Appl. 36 (2009) 5205–11
[100] , and , Assessing productive efficiency in Nigerian airports using Fuzzy-DEA. Transport Policy 49 (2016) 9–19
[101] and , Fuzzy data envelopment analysis (DEA): model and ranking method. J. Comput. Appl. Math. 223 (2009) 872–78 | DOI | Zbl
[102] , and , A new ranking method to fuzzy data envelopment analysis. Comput. Math. Appl. 59 (2010) 3398–404 | Zbl
[103] , Fuzzy sets. Information and Control 8 (1965) 338–53 | Zbl
[104] , , and , Aggregating preference ranking with fuzzy Data Envelopment Analysis. Knowledge-Based Systems 23 (2010) 512–19
[105] , , and , Relationship between efficiency in the traditional data envelopment analysis and possibility sets. Comput. Ind. Eng. 81 (2015) 140–46
[106] , and , Fuzzy data envelopment analysis: A discrete approach. Expert Syst. Appl. 39 (2012) 2263–69
[107] , and , Type-2 TOPSIS: A group decision problem when ideal values are not extreme endpoints. Group Decis. Negot. 22 (2013) 851–66
[108] and , A multi-subsystem fuzzy DEA model with its application in mutual funds management companies competence evaluation. Procedia Comput. Sci. 1 (2012) 2469–78
[109] , , and , Type-2 fuzzy multi-objective DEA model: An application to sustainable supplier evaluation. Appl. Soft Comput. 46 (2016) 424–40
[110] , , and , A generalized fuzzy DEA/AR performance assessment model. Math. Comput. Model. 55 (2012) 2117–28 | Zbl
Cité par Sources :
