Optimal Models and Methods with Fuzzy Quantities

Cover......Page 1
Front Matter......Page 2
  General Model for Fu-Fu EVM......Page 7
 Algorithm System......Page 14
  Chance Operator of Fu-Ro Variables......Page 17
 Membership Function......Page 37
 Application to Purchasing Problem in a Large-Scale Integrated Steel Plant......Page 51
  Level-2 Fuzzy Set, Type-2 Fuzzy Sets and Fu-Fu Variable......Page 3
  Linear Fu-Fu EVM and Step Method......Page 8
  Linear Fu-Ra EVM and Fuzzy Satisfied Method......Page 13
 Fuzzy Sets......Page 21
  General Model for Fu-Fu CCM......Page 23
  Non-linear Fuzzy EVM and Fuzzy Simulation-Based PSO......Page 28
 Fuzzy Arithmetic......Page 36
  General Model for Fu-Fu DCM......Page 39
  Linear Fu-Ro DCM and -Constraint Method......Page 55
  Linear Fuzzy DCM and Ideal Point Method......Page 58
  Non-linear Fuzzy DCM and Fuzzy Simulation-Based PSO with Shrinkage Factor......Page 63
 Application of Farm Structure Optimization Problem......Page 66
  Multi-objective Decision Making with Fuzzy Constraints......Page 72
 Farm Structure Optimization Problem under Fuzzy Environment......Page 75
 Physics-Based Model System......Page 4
  Chance Operator of Fu-Fu Variables......Page 6
  General Model for Fu-Ra EVM......Page 10
  Non-linear Fu-Ra EVM and Fu-Ra Simulation-Based GA......Page 19
  General Model for Fu-Ro CCM......Page 34
  Non-linear Fu-Ra CCM and Fu-Ra Simulation-Based Adaptive Weight GA......Page 46
  Modelling......Page 52
  General Model for Fu-Ro DCM......Page 53
  Non-linear Fu-Ro DCM and Fu-Ro Simulation Based Parallel TS......Page 64
  Assumptions......Page 68
 Possibility Distribution......Page 70
  mean-Variance Portfolio Selection Model......Page 73
 Another Way to Deal with Fuzzy Random......Page 81
  Possibility, Necessity and General Fuzzy Measure......Page 82
  Application to Inventory Problems......Page 86
 Mathematical Model System......Page 5
 Research Ideas and Paradigm: 5MRP......Page 18
  Linear Fu-Fu CCM and Lexicographic Method......Page 25
  Linear Fu-Fu DCM and Weight Sum Method......Page 40
  Nonlinear Fu-Fu DCM and Fu-Fu Simulation Based Adaptive SA......Page 45
 Another Way to Deal with Fu-Fu Multi-objective Decision Making Model......Page 60
Fuzzy Set Theory......Page 20
 Basic Concepts of Fuzzy Sets......Page 26
 Fuzzy Number......Page 33
  Non-linear Fu-Ro CCM and Fu-Ro Simulation-Based Parametric TS......Page 47
  Modelling for Integrated Reuse Logistics Network under Fuzzy Rough Environment......Page 71
  Uncertain Linear Multi-objective Model......Page 74
  Application to Beer Company......Page 76
 Model Analysis System......Page 9
 Membership Function......Page 56
  Definition of Fuzzy Variable......Page 77
  Expected Value Operator of Fuzzy Variables......Page 87
  General Model for Fuzzy EVM......Page 95
  Linear Fuzzy EVM and Two-Stage Method......Page 97
  Non-linear Fuzzy EVM and Fuzzy Simulation-Based PSO......Page 102
  General Model for Fuzzy CCM......Page 110
  Linear Fuzzy CCM and Goal Programming Method......Page 113
  Non-linear Fuzzy CCM and Fuzzy Simulation-Based PSO with Preference Order......Page 125
  General Model for Fuzzy DCM......Page 129
  Linear Fuzzy DCM and Ideal Point Method......Page 132
  Non-linear Fuzzy DCM and Fuzzy Simulation-Based PSO with Shrinkage Factor......Page 137
 Application of Farm Structure Optimization Problem......Page 140
  Multi-objective Decision Making with Fuzzy Constraints......Page 146
  Multi-objective Decision Making with Fuzzy Objectives......Page 149
Fuzzy Random Multiple Objective Decision Making......Page 152
 Portfolio Selection Problem under a Fuzzy Random Environment......Page 153
  Definition of Fu-Ra Variable......Page 155
  Expected Value Operator of Fu-Ra Variables......Page 157
  Chance Operator of Fu-Ra Variables......Page 159
  General Model for Fu-Ra EVM......Page 161
  Linear Fu-Ra EVM and Fuzzy Satisfied Method......Page 164
  Non-linear Fu-Ra EVM and Fu-Ra Simulation-Based GA......Page 170
  General Model for Fu-Ra CCM......Page 185
  Linear Fu-Ra CCM and Surrogate Worth Trade-Off Method......Page 187
  Non-linear Fu-Ra CCM and Fu-Ra Simulation-Based Adaptive Weight GA......Page 197
 Fu-Ra DCM......Page 203
  General Model for Fu-Ra DCM......Page 204
  Linear Fu-Ra DCM and Satisfying Trade-Off Method......Page 206
  Non-linear Fu-Ra DCM and Fu-Ra Simulation-Based Compromise GA......Page 215
  Assumptions......Page 219
  Chance Constrained Portfolio Selection Model......Page 221
  mean-Variance Portfolio Selection Model......Page 224
 Another Way to Deal with Fuzzy Random......Page 232
  $(\\alpha,\\beta)$-Satisfied Solution for Fu-Ra Multi-objective Decision Making Model......Page 233
  Application to Inventory Problems......Page 237
 Raw Material Purchasing Problem under Bifuzzy Environment......Page 243
  Level-2 Fuzzy Set, Type-2 Fuzzy Sets and Fu-Fu Variable......Page 245
  Expected Value Operator of Fu-Fu Variables......Page 247
  Chance Operator of Fu-Fu Variables......Page 248
  General Model for Fu-Fu EVM......Page 249
  Linear Fu-Fu EVM and Step Method......Page 250
  Nonlinear Fu-Fu EVM and Fu-Fu Simulation Based SA......Page 260
  General Model for Fu-Fu CCM......Page 265
  Linear Fu-Fu CCM and Lexicographic Method......Page 267
  Nonlinear Fu-Fu CCM and Fu-Fu Simulation Based Parallel SA......Page 276
  General Model for Fu-Fu DCM......Page 281
  Linear Fu-Fu DCM and Weight Sum Method......Page 282
  Nonlinear Fu-Fu DCM and Fu-Fu Simulation Based Adaptive SA......Page 287
 Application to Purchasing Problem in a Large-Scale Integrated Steel Plant......Page 293
  Modelling......Page 294
  Model Processing Specification......Page 297
 Another Way to Deal with Fu-Fu Multi-objective Decision Making Model......Page 302
 Integrated Logistics Problem under Fuzzy Rough Environment......Page 311
  Definition of Fu-Ro Variable......Page 314
  Expected Value Operator of Fu-Ro Variables......Page 324
  Chance Operator of Fu-Ro Variables......Page 327
  General Model for Fu-Ro EVM......Page 328
  Linear Fu-Ro EVM and Minimax Point Method......Page 330
  Non-linear Fu-Ro EVM and Fu-Ro Simulation-Based TS......Page 336
 Fu-Ro CCM......Page 343
  General Model for Fu-Ro CCM......Page 344
  Linear Fu-Ro CCM and Fuzzy Goal Method......Page 346
  Non-linear Fu-Ro CCM and Fu-Ro Simulation-Based Parametric TS......Page 357
  General Model for Fu-Ro DCM......Page 363
  Linear Fu-Ro DCM and -Constraint Method......Page 365
  Non-linear Fu-Ro DCM and Fu-Ro Simulation Based Parallel TS......Page 374
 Application to Integrated Logistics Network Design Problem......Page 380
  Modelling for Integrated Reuse Logistics Network under Fuzzy Rough Environment......Page 381
  Uncertain Linear Multi-objective Model......Page 384
  Application to Beer Company......Page 386
Methodological System for FLMODM......Page 391
 Motivation of Researching FLMODM......Page 392
 Physics-Based Model System......Page 394
 Mathematical Model System......Page 395
 Model Analysis System......Page 399
 Algorithm System......Page 404
 Research Ideas and Paradigm: 5MRP......Page 408
Back Matter......Page 412