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1 Introduction to Data Envelopment Analysis and Fuzzy Sets |
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1 | (18) |
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1.1 A Brief Review on Data Envelopment Analysis |
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1 | (3) |
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4 | (2) |
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1.3 Different Models of DEA |
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6 | (4) |
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10 | (5) |
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15 | (1) |
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15 | (4) |
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2 Introductions and Definitions of R |
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19 | (34) |
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19 | (1) |
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20 | (3) |
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2.3 Definition of Different Variables Types |
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23 | (1) |
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23 | (1) |
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24 | (9) |
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24 | (2) |
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26 | (4) |
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30 | (1) |
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31 | (1) |
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32 | (1) |
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2.6 Mathematical Operators |
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33 | (1) |
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33 | (1) |
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34 | (1) |
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2.9 Basic Mathematical Functions |
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35 | (1) |
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36 | (1) |
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37 | (1) |
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2.11.1 Example: Consider the Following Example |
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37 | (1) |
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37 | (1) |
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38 | (1) |
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39 | (1) |
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40 | (1) |
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2.16 Import and Read Data in R |
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40 | (4) |
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40 | (1) |
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41 | (1) |
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2.16.3 Read.table Command |
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42 | (1) |
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2.16.4 Read.delim Command |
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42 | (1) |
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43 | (1) |
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2.16.6 Excel_sheets Command |
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44 | (1) |
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2.16.7 Read_excel Command |
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44 | (1) |
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2.17 Storage and Writing Data |
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44 | (1) |
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2.17.1 Write.table Command |
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44 | (1) |
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44 | (1) |
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2.18 Write Functions in R |
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45 | (1) |
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45 | (5) |
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50 | (1) |
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51 | (2) |
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3 Basic DEA Models with R Codes |
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53 | (46) |
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53 | (1) |
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3.2 Input-Oriented DEA Models with R Codes |
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54 | (13) |
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3.2.1 Input-Oriented CCR Envelopment Model with R Code |
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54 | (2) |
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3.2.2 Input-Oriented CCR Multiplier Model with R Code |
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56 | (4) |
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3.2.3 Input-Oriented BCC Multiplier Model with R Code |
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60 | (3) |
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3.2.4 Input-Oriented BCC Envelopment Model with R Code |
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63 | (4) |
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3.3 Output-Oriented DEA Models with R Codes |
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67 | (12) |
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3.3.1 Output-Oriented CCR Envelopment Model with R Code |
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67 | (2) |
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3.3.2 Output-Oriented CCR Multiplier Model with R Code |
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69 | (5) |
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3.3.3 Output-Oriented BCC Multiplier Model with R Code |
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74 | (2) |
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3.3.4 Output-Oriented BCC Envelopment Model with R Code |
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76 | (3) |
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3.4 Additive DEA Models with R Codes |
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79 | (7) |
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3.4.1 Additive CCR Model with R Code |
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79 | (2) |
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3.4.2 Additive BCC Model with R Code |
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81 | (5) |
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3.5 R Codes for Input-Oriented DEA Multiplier Model with e |
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86 | (5) |
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3.5.1 R Code for Input-Oriented BCC Multiplier Model with e |
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86 | (3) |
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3.5.2 R Code for Input-Oriented CCR Multiplier Model with e |
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89 | (2) |
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3.6 Two-Phase Input-Oriented DEA Envelopment Model with R Code |
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91 | (7) |
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3.6.1 Two-Phase Input-Oriented BCC Envelopment Model with R Code |
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91 | (3) |
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3.6.2 Two-Phase Input-Oriented CCR Envelopment Model with R Code |
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94 | (4) |
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98 | (1) |
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98 | (1) |
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4 Advanced DEA Models with R Codes |
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99 | (64) |
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99 | (1) |
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4.2 AP Models with R Codes |
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99 | (9) |
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4.2.1 Input-Oriented AP Envelopment Model with R Code |
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100 | (2) |
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4.2.2 Output-Oriented AP Enveloping Model |
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102 | (2) |
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4.2.3 Input-Oriented AP Multiplier Model |
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104 | (2) |
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4.2.4 Output-Oriented AP Multiplier Model |
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106 | (2) |
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4.3 MAJ Super-Efficiency Model with R Code |
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108 | (6) |
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4.4 Norm L1 Super-Efficiency Model with R Code Ill |
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4.5 Returns to Scale--CCR Models with R Codes |
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114 | (8) |
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4.5.1 Returns to Scale--CCR Envelopment Model with R Code |
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114 | (4) |
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4.5.2 Returns to Scale--DEA Multiplier Model with R Code |
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118 | (4) |
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4.6 Cost Efficiency Model with R Code |
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122 | (2) |
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4.7 Revenue Efficiency DEA Model with R Code |
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124 | (3) |
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4.8 Malmquist Productivity Index--CCR Model with R Codes |
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127 | (9) |
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4.8.1 Malmquist Productivity Index--CCR Multiplier Model with R Code |
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127 | (4) |
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4.8.2 Malmquist Productivity Index--CCR Envelopment Model with R Code |
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131 | (5) |
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4.9 SBM Models with R Codes |
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136 | (5) |
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4.9.1 First Model of SBM with R Code |
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136 | (3) |
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4.9.2 Second Model of SBM with R Code |
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139 | (2) |
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4.10 Series Network DEA Model with R Code |
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141 | (2) |
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4.11 Profit Efficiency DEA Model with R Code |
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143 | (4) |
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4.12 Modified Slack Based DEA Models with R Codes |
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147 | (5) |
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4.12.1 Input-Oriented Slack Based DEA Model with R Code |
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147 | (3) |
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4.12.2 Output-Oriented Slack Based DEA Model with R Code |
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150 | (2) |
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4.13 Congestion DEA Model with R Code |
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152 | (4) |
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4.14 Common Set of Weights DEA Model with R Code |
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156 | (2) |
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4.15 Directional Efficiency DEA Model with R Code |
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158 | (4) |
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162 | (1) |
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162 | (1) |
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5 Fuzzy Data Envelopment Analysis Models with R Codes |
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163 | |
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163 | (2) |
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165 | (11) |
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5.2.1 Kao and Liu's Approach |
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166 | (7) |
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5.2.2 Saati et al.'s Approach |
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173 | (3) |
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5.3 The Fuzzy Ranking Approach |
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176 | (14) |
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5.3.1 Guo and Tanaka's Approach |
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176 | (4) |
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5.3.2 Leon et al.'s Approach |
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180 | (8) |
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5.3.3 Soleimani-damaneh et al.'s Approach |
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188 | (2) |
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5.4 The Possibility Approach |
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190 | (6) |
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5.5 The Fuzzy Arithmetic Approach |
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196 | (39) |
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5.5.1 Wang et al.'s Approach |
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196 | (11) |
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5.5.2 Bhardwaj et al.'s Approach |
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207 | (7) |
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5.5.3 Azar et al.'s Approach |
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214 | (4) |
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218 | (17) |
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235 | (1) |
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235 | |