Preface |
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xi | |
About the Authors |
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xiii | |
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1 Introduction to Decision-Making and Optimization Techniques |
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1 | (14) |
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1 | (1) |
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1.2 Decision-Making Process and Classification |
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1 | (7) |
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1.2.1 Decision-Making Under Certainty, Risk, and Uncertainty |
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3 | (3) |
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1.2.2 Multicriteria Decision-Making |
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6 | (2) |
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8 | (6) |
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9 | (1) |
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1.3.2 Multiobjective Optimization and Goal Programming |
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9 | (2) |
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1.3.3 Nontraditional Optimization Algorithms |
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11 | (1) |
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1.3.3.1 Genetic Algorithm |
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11 | (2) |
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1.3.3.2 Particle Swarm Optimization |
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13 | (1) |
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1.3.3.3 Simulated Annealing |
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13 | (1) |
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14 | (1) |
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14 | (1) |
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2 Analytic Hierarchy Process |
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15 | (20) |
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15 | (1) |
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2.2 Analytic Hierarchy Process Methodology |
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16 | (10) |
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2.2.1 Importance of Hierarchical Structure |
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22 | (1) |
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2.2.2 Rank Reversal in Analytic Hierarchy Process |
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22 | (4) |
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2.2.3 Multiplicative Analytic Hierarchy Process |
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26 | (1) |
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2.3 Fuzzy Analytic Hierarchy Process |
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26 | (6) |
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2.3.1 Fuzzy Numbers and Their Operations |
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26 | (1) |
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2.3.2 Developing Decision Hierarchy and Constructing Fuzzy Comparison Matrix |
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27 | (1) |
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2.3.3 Computing Criteria Weights |
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28 | (2) |
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2.3.4 Example of Fuzzy Analytic Hierarchy Process Application |
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30 | (2) |
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32 | (1) |
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32 | (3) |
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3 Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) |
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35 | (30) |
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35 | (1) |
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35 | (4) |
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3.3 Step-by-Step Working Principles of TOPSIS |
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39 | (4) |
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3.4 Application of TOPSIS in Textiles |
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43 | (7) |
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3.4.1 Selection of Handloom Fabrics for Summer Clothing Using TOPSIS |
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44 | (6) |
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50 | (4) |
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3.6 Step-by-Step Working Principles of Fuzzy-TOPSIS |
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54 | (4) |
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58 | (4) |
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62 | (1) |
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62 | (3) |
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4 Elimination and Choice Translating Reality (ELECTRE) |
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65 | (20) |
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65 | (1) |
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65 | (5) |
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4.3 Step-by-Step Working Principles of ELECTRE Method |
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70 | (5) |
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4.4 Application of ELECTRE Method in Textiles |
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75 | (5) |
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4.4.1 Selection of Bulletproof Body Armors Using ELECTRE Method |
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76 | (4) |
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80 | (3) |
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83 | (1) |
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83 | (2) |
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5 Graph Theory and Matrix Approach of Decision-Making |
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85 | (14) |
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85 | (1) |
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5.2 Graph Theory and Matrix Approach |
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85 | (5) |
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5.3 Step-by-Step Working Principles of Graph Theory and Matrix Approach |
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90 | (2) |
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5.4 Application of Graph Theory and Matrix Approach of Decision-Making in Textiles |
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92 | (3) |
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5.4.1 Cotton Fiber Selection Using Graph Theory and Matrix Approach |
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92 | (3) |
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95 | (1) |
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96 | (1) |
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96 | (3) |
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99 | (28) |
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99 | (1) |
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6.2 Linear Programming Problem Formulation |
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99 | (4) |
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6.2.1 General Form of a Linear Programming Problem |
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102 | (1) |
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103 | (5) |
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108 | (14) |
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112 | (5) |
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117 | (5) |
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122 | (1) |
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122 | (2) |
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124 | (1) |
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124 | (3) |
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7 Fuzzy Linear Programming |
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127 | (16) |
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127 | (1) |
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7.2 Crisp Set, Fuzzy Set, and Membership Function |
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127 | (4) |
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7.2.1 Fuzzy Set Operations |
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129 | (2) |
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7.3 Fuzzy Linear Programming Algorithm |
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131 | (9) |
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140 | (1) |
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140 | (1) |
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141 | (1) |
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141 | (2) |
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143 | (20) |
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143 | (1) |
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8.2 Quadratic Programming Algorithm |
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143 | (11) |
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8.2.1 Lagrangian Function |
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144 | (1) |
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8.2.2 Kuhn-Tucker Conditions |
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145 | (2) |
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8.2.3 Wolfe's Method to Solve Quadratic Programming Problem |
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147 | (7) |
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8.3 Application of Wolfe's Method for Solving Quadratic Programming Problem in Textile Field |
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154 | (3) |
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157 | (3) |
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160 | (1) |
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160 | (3) |
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163 | (32) |
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163 | (1) |
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164 | (9) |
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164 | (1) |
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165 | (1) |
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165 | (2) |
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167 | (4) |
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171 | (1) |
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9.2.6 Flowchart of a Genetic Algorithm |
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172 | (1) |
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9.3 Step-by-Step Working Principle of Genetic Algorithm |
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173 | (11) |
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9.4 Application of Genetic Algorithm in Textiles |
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184 | (6) |
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9.4.1 Application of Genetic Algorithm in Fitting Stress-Strain Curve of Fibers |
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185 | (5) |
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190 | (3) |
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193 | (1) |
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193 | (2) |
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10 Particle Swarm Optimization |
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195 | (26) |
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195 | (1) |
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10.2 Particle Swarm Optimization |
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195 | (4) |
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10.2.1 Flowchart of Particle Swarm Optimization |
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198 | (1) |
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10.3 Step-by-Step Working Principle of Particle Swarm Optimization |
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199 | (9) |
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10.4 Application of Particle Swarm Optimization in Textiles |
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208 | (7) |
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10.4.1 Application of Particle Swarm Optimization in Fabric Engineering |
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208 | (7) |
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215 | (3) |
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218 | (1) |
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218 | (3) |
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221 | (24) |
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221 | (1) |
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221 | (4) |
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11.2.1 Flowchart of Simulated Annealing |
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225 | (1) |
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11.3 Step-by-Step Working Principle of Simulated Annealing |
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225 | (10) |
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11.4 Application of Simulated Annealing in Textiles |
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235 | (4) |
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11.4.1 Application of Simulated Annealing in Yarn Engineering |
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235 | (4) |
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239 | (3) |
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242 | (1) |
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242 | (3) |
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12 Multiobjective Optimization |
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245 | (48) |
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245 | (1) |
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245 | (7) |
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12.2.1 Goal Programming with One Goal |
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246 | (1) |
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12.2.2 Goal Programming with Multiple Goals |
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247 | (1) |
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12.2.2.1 Non-Preemptive Goal Programming |
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248 | (1) |
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12.2.2.2 Goal Programming with Differential Weighting |
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249 | (1) |
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12.2.2.3 Preemptive Goal Programming |
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250 | (2) |
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12.3 Multiobjective Optimization Using Desirability Function |
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252 | (5) |
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12.3.1 Application of Desirability Function Approach for Multiobjective Optimization |
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254 | (1) |
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12.3.2 Multiobjective Optimization of Air Permeability, Thermal Conductivity, and Ultraviolet Protection Factor of Knitted Fabrics Using Desirability Function |
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254 | (3) |
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12.4 Multiobjective Optimization Using Evolutionary Algorithm |
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257 | (19) |
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12.4.1 Application of Evolutionary Algorithm Approach for Multiobjective Optimization |
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273 | (1) |
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12.4.1.1 Using Two Objective Functions: Spinning Consistency Index and Yarn Strength |
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274 | (1) |
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12.4.1.2 Using Three Objective Functions: Air Permeability, Thermal Conductivity, and Ultraviolet Protection Factor of Knitted Fabrics |
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275 | (1) |
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276 | (15) |
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291 | (1) |
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291 | (2) |
Index |
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293 | |