A Novel Approach for Efficiency Evaluation in Data Envelopment Analysis Framework with Fuzzy Stochastic Variables

Data envelopment analysis (DEA) is a widely used approach for evaluating the relative efficiency of decision-making units (DMUs) in multiple-input and multiple-output situations. Although traditional DEA models use precise input–output data, real-world problems often involve mixed uncertainties, inc...

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Vydáno v:International journal of fuzzy systems Ročník 27; číslo 3; s. 866 - 881
Hlavní autoři: Huang, Lizhen, Chen, Lei
Médium: Journal Article
Jazyk:angličtina
Vydáno: Heidelberg Springer Nature B.V 01.04.2025
Témata:
Constraints
Data analysis
Data envelopment analysis
Decision making
Efficiency
Equivalence
Evaluation
Feasibility
Fuzzy sets
Set theory
Variables
ISSN:1562-2479, 2199-3211
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Abstract Data envelopment analysis (DEA) is a widely used approach for evaluating the relative efficiency of decision-making units (DMUs) in multiple-input and multiple-output situations. Although traditional DEA models use precise input–output data, real-world problems often involve mixed uncertainties, including fuzziness and stochasticity. This paper focuses on dealing with situations where inputs and outputs have both fuzzy and stochastic characteristics, using DEA models for efficiency evaluation. Through the integration of the α-level approach and chance-constrained programming, novel DEA models with fuzzy stochastic variables (FSVs) are proposed, and deterministic equivalent interval DEA models with linear constraints are provided to address this problem. The main contributions and advantages of the proposed model over existing DEA models with FSVs are fourfold: (1) linear and always-feasible models are proposed; (2) a fixed and uniform production boundary (i.e., the same set of constraints) is used to measure the efficiency of DMUs with fuzzy stochastic input and output; (3) the obtained results can distinguish between efficient and inefficient DMUs; (4) Equivalent interval DEA models were obtained to provide a more comprehensive assessment of the efficiency of the DMUs. Finally, a numerical example is presented to demonstrate the applicability of the proposed models and the feasibility of the obtained solutions.
AbstractList Data envelopment analysis (DEA) is a widely used approach for evaluating the relative efficiency of decision-making units (DMUs) in multiple-input and multiple-output situations. Although traditional DEA models use precise input–output data, real-world problems often involve mixed uncertainties, including fuzziness and stochasticity. This paper focuses on dealing with situations where inputs and outputs have both fuzzy and stochastic characteristics, using DEA models for efficiency evaluation. Through the integration of the α-level approach and chance-constrained programming, novel DEA models with fuzzy stochastic variables (FSVs) are proposed, and deterministic equivalent interval DEA models with linear constraints are provided to address this problem. The main contributions and advantages of the proposed model over existing DEA models with FSVs are fourfold: (1) linear and always-feasible models are proposed; (2) a fixed and uniform production boundary (i.e., the same set of constraints) is used to measure the efficiency of DMUs with fuzzy stochastic input and output; (3) the obtained results can distinguish between efficient and inefficient DMUs; (4) Equivalent interval DEA models were obtained to provide a more comprehensive assessment of the efficiency of the DMUs. Finally, a numerical example is presented to demonstrate the applicability of the proposed models and the feasibility of the obtained solutions.
Author Huang, Lizhen
Chen, Lei
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Cites_doi 10.1016/j.fss.2004.12.011
10.1155/2022/3997396
10.1016/j.seps.2022.101462
10.1080/01605682.2023.2267080
10.1007/s10700-021-09364-x
10.1016/0377-2217(79)90229-7
10.1007/978-3-642-41372-8_1
10.1057/palgrave.jors.2601433
10.1016/j.eswa.2013.07.069
10.1007/s10700-022-09403-1
10.1016/j.knosys.2013.05.014
10.1007/s00500-020-05010-7
10.1016/j.cam.2020.113180
10.1051/ro/2018075
10.1007/s40815-022-01258-3
10.1007/s10614-023-10371-w
10.1080/00207727808941724
10.1016/j.eswa.2021.116021
10.1142/s0219622018500396
10.1007/s40815-021-01200-z
10.1016/j.ins.2022.07.140
10.1007/s40815-023-01595-x
10.1007/s00500-023-09254-x
10.1007/s40815-017-0367-1
10.1007/s40815-023-01519-9
10.1016/j.jclepro.2022.130693
10.1016/j.matcom.2009.10.005
10.1051/ro/2023154
10.1007/s00500-021-06627-y
10.1016/j.eswa.2012.04.049
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References A Younesi (1811_CR6) 2023; 22
S-W Lin (1811_CR4) 2023
G Maity (1811_CR12) 2022
1811_CR28
G Jo (1811_CR8) 2024; 63
FH Yin (1811_CR9) 2022; 609
AP Singh (1811_CR26) 2022; 24
A Charnes (1811_CR1) 1978; 2
Z Zmeskal (1811_CR13) 2022; 24
M Arana-Jimenez (1811_CR25) 2022
J Gerami (1811_CR2) 2023
M Sohrabi (1811_CR10) 2023
D Dubois (1811_CR24) 1978; 9
N Zhang (1811_CR7) 2023; 57
Y-M Wang (1811_CR15) 2005; 153
A Ebrahimnejad (1811_CR16) 2019; 18
R Khanjani Shiraz (1811_CR22) 2020; 24
A Ebrahimnejad (1811_CR23) 2019; 53
L Gan (1811_CR11) 2022
AP Singh (1811_CR27) 2022; 26
S Cinaroglu (1811_CR29) 2023
M Tavana (1811_CR19) 2013; 52
H Omrani (1811_CR3) 2022
R Latpate (1811_CR14) 2024; 26
SH Nasseri (1811_CR20) 2018; 20
P Peykani (1811_CR5) 2022; 21
WW Cooper (1811_CR30) 2017; 53
R Qin (1811_CR17) 2010; 80
RK Shiraz (1811_CR21) 2014; 41
M Tavana (1811_CR18) 2012; 39
References_xml – volume: 153
  start-page: 347
  year: 2005
  ident: 1811_CR15
  publication-title: Fuzzy Sets Syst.
  doi: 10.1016/j.fss.2004.12.011
– year: 2022
  ident: 1811_CR12
  publication-title: J. Adv. Transp.
  doi: 10.1155/2022/3997396
– year: 2023
  ident: 1811_CR10
  publication-title: Socioecon. Plann. Sci.
  doi: 10.1016/j.seps.2022.101462
– year: 2023
  ident: 1811_CR4
  publication-title: J. Oper. Res. Soc.
  doi: 10.1080/01605682.2023.2267080
– volume: 21
  start-page: 197
  year: 2022
  ident: 1811_CR5
  publication-title: Fuzzy Optim. Decis. Mak.
  doi: 10.1007/s10700-021-09364-x
– volume: 2
  start-page: 429
  year: 1978
  ident: 1811_CR1
  publication-title: Eur. J. Oper. Res.
  doi: 10.1016/0377-2217(79)90229-7
– ident: 1811_CR28
  doi: 10.1007/978-3-642-41372-8_1
– volume: 53
  start-page: 1347
  year: 2017
  ident: 1811_CR30
  publication-title: J. Oper. Res. Soc.
  doi: 10.1057/palgrave.jors.2601433
– volume: 41
  start-page: 434
  year: 2014
  ident: 1811_CR21
  publication-title: Expert Syst. Appl.
  doi: 10.1016/j.eswa.2013.07.069
– volume: 22
  start-page: 587
  year: 2023
  ident: 1811_CR6
  publication-title: Fuzzy Optim. Decis. Mak.
  doi: 10.1007/s10700-022-09403-1
– volume: 52
  start-page: 32
  year: 2013
  ident: 1811_CR19
  publication-title: Knowl. Based Syst.
  doi: 10.1016/j.knosys.2013.05.014
– volume: 24
  start-page: 17167
  year: 2020
  ident: 1811_CR22
  publication-title: Soft Comput.
  doi: 10.1007/s00500-020-05010-7
– year: 2022
  ident: 1811_CR25
  publication-title: J. Comput. Appl. Math.
  doi: 10.1016/j.cam.2020.113180
– volume: 53
  start-page: 705
  year: 2019
  ident: 1811_CR23
  publication-title: Rairo-Oper. Res.
  doi: 10.1051/ro/2018075
– volume: 24
  start-page: 2215
  year: 2022
  ident: 1811_CR13
  publication-title: Int. J. Fuzzy Syst.
  doi: 10.1007/s40815-022-01258-3
– volume: 63
  start-page: 1493
  year: 2024
  ident: 1811_CR8
  publication-title: Comput. Econ.
  doi: 10.1007/s10614-023-10371-w
– volume: 9
  start-page: 613
  year: 1978
  ident: 1811_CR24
  publication-title: Int. J. Syst. Sci.
  doi: 10.1080/00207727808941724
– year: 2022
  ident: 1811_CR3
  publication-title: Expert Syst. Appl.
  doi: 10.1016/j.eswa.2021.116021
– volume: 18
  start-page: 147
  year: 2019
  ident: 1811_CR16
  publication-title: Int. J. Inf. Technol. Decis. Mak.
  doi: 10.1142/s0219622018500396
– volume: 24
  start-page: 1446
  year: 2022
  ident: 1811_CR26
  publication-title: Int. J. Fuzzy Syst.
  doi: 10.1007/s40815-021-01200-z
– volume: 609
  start-page: 1239
  year: 2022
  ident: 1811_CR9
  publication-title: Inf. Sci.
  doi: 10.1016/j.ins.2022.07.140
– volume: 26
  start-page: 403
  year: 2024
  ident: 1811_CR14
  publication-title: Int. J. Fuzzy Syst.
  doi: 10.1007/s40815-023-01595-x
– year: 2023
  ident: 1811_CR2
  publication-title: Soft Comput.
  doi: 10.1007/s00500-023-09254-x
– volume: 20
  start-page: 534
  year: 2018
  ident: 1811_CR20
  publication-title: Int. J. Fuzzy Syst.
  doi: 10.1007/s40815-017-0367-1
– year: 2023
  ident: 1811_CR29
  publication-title: Int. J. Fuzzy Syst.
  doi: 10.1007/s40815-023-01519-9
– year: 2022
  ident: 1811_CR11
  publication-title: J. Clean. Prod.
  doi: 10.1016/j.jclepro.2022.130693
– volume: 80
  start-page: 922
  year: 2010
  ident: 1811_CR17
  publication-title: Math. Comput. Simul.
  doi: 10.1016/j.matcom.2009.10.005
– volume: 57
  start-page: 3007
  year: 2023
  ident: 1811_CR7
  publication-title: Rairo-Oper. Res.
  doi: 10.1051/ro/2023154
– volume: 26
  start-page: 2901
  year: 2022
  ident: 1811_CR27
  publication-title: Soft Comput.
  doi: 10.1007/s00500-021-06627-y
– volume: 39
  start-page: 12247
  year: 2012
  ident: 1811_CR18
  publication-title: Expert Syst. Appl.
  doi: 10.1016/j.eswa.2012.04.049
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SubjectTerms Constraints
Data analysis
Data envelopment analysis
Decision making
Efficiency
Equivalence
Evaluation
Feasibility
Fuzzy sets
Set theory
Variables
Title A Novel Approach for Efficiency Evaluation in Data Envelopment Analysis Framework with Fuzzy Stochastic Variables
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