contents
PREFACE = ⅴ
1 INTRODUCTION = 1
1.1 Objectives of This Study = 2
1.2 (Fuzzy) Multiple Objective Decision Making = 2
1.3 Classification of (Fuzzy) Multiple Objective Decision Making = 6
1.4 Applications of (Fuzzy) Multiple Objective Decision Making = 15
1.5 Literature Survey = 17
1.6 Fuzzy Sets = 21
2 MULTIPLE OBJECTIVE DECISION MAKING = 27
2.1 Introduction = 28
2.2 Goal Programming = 32
2.2a A Portfolio Selection Problem = 33
2.2b An Audit Sampling Problem = 37
2.3 Fuzzy Programming = 40
2.3.1 Max-Min Approach = 40
2.3.1a A Trade Balance Problem = 46
2.3.1b A Media Selection Problem = 49
2.3.2 Augmented Max-Min Approach = 53
Example = 55
2.3.2a A Trade Balance Problem = 56
2.3.2b A Logistics Planning Model = 57
2.3.3 Parametric Approach = 61
Example = 63
2.4 Global Criterion Approach = 65
2.4.1 Global Criterion Approach = 67
2.4.1a A Nutrition Problem = 69
2.4.2 TOPSIS for MODM = 71
2.4.2a A Water Quality-Management Problem = 75
2.5 Interactive Multiple Objective Decision Making = 82
2.5.1 Optimal System Design = 83
2.5.1a A Production Planning Problem = 83
2.5.2 KSU-STEM = 88
2.5.2a A Nutrition Problem = 92
2.5.2b A Project Scheduling Problem = 93
2.5.3 ISGP-II = 100
2.5.3a A Nutrition Problem = 106
2.5.3b A Bank Balance Sheet Management Problem = 110
2.5.4 Augmented Min-Max Approach = 115
2.5.4a A Water pollution Control Problem = 119
2.6 Multiple Objective Linear Fractional Programming = 124
2.6.1 Luhandjula's Approach = 125
Example = 129
2.6.2 Lee and Tcha's Approach = 129
2.6.2a A Financial Structure Optimization Problem = 132
2.7 Multiple Objective Geometric Programming = 134
Example = 136
2.7a A Postal Regulation Problem = 137
3 FUZZY MULTIPLE OBJECTIVE DECISION MAKING = 139
3.1 Fuzzy Goal Programming = 139
3.1.1 Fuzzy Goal Programming = 140
3.1.1a A Production-Marketing Problem = 143
3.1.1b An Optimal Control Problem = 145
3.1.1c A Facility Location Problem = 147
3.1.2 Preemptive Fuzzy Goal Programming = 152
Example : The Production-Maketing Problem = 154
3.1.3 Interpolated Membership Function = 155
3.1.3.1 Hannan's Method = 156
Example : The Production-Marketing Problem = 156
3.1.3.2 Inuiguchi, Ichihashi and Kume's Method = 159
Example : The Trade Balance Problem = 161
3.1.3.3 Yang, Ignizio and Kim's Method = 165
Example = 167
3.1.4 Weighted Additive Model = 168
3.1.4.1 Crisp Weights = 169
3.1.4.1a Maxmin Approach = 170
Example : The Production-Marketing Problem = 170
3.1.4.1b Augmented Maxmin Approach = 172
3.1.4.1c Supertransitive Approximation = 172
Example : The production--Marking Problem = 174
3.1.4.2 Fuzzy Weights = 176
Example : The Productopn-Marketing Problem = 176
3.1.5 A Preference Structure on Aspiration Levels = 179
Example : The Production-Marketing Problem = 183
3.1.6 Nested Priority = 185
3.1.6a A Personnel Selection Problem = 189
3.2 Fuzzy Glob criterion = 193
Example = 197
3.3 Interactive Fuzzy Multiple Objective Decision Making = 201
3.3.1 Werners's Method = 202
Example : The Trade Balance Problem = 208
3.3.1a An Aggregate Production Planning Problem = 211
3.3.2 Lai and Hwang's Method = 219
3.3.3 Leung's Method = 232
Example = 234
3.3.4 Fabian, Ciobanu and Stoica's Method = 237
Example = 240
3.3.5 Sasaki. Nakahara. Gen and Ida's Method = 244
Example = 246
3.3.6 Baptistella and Ollero's Method = 248
3.3.6a An Optimal Scheduling Problem = 256
4 POSSIBILISTIC MULTIPLE OBJECTIVE DECISION MAKING = 263
4.1 Introduction = 264
4.1.1 Resolution of Imprecise Objective Functions = 265
4.1.2 Resolution of Imprecise Constraints = 268
4.2 Possibilistic Mutiple Objective Decision Making = 268
4.2.1 Tanaka and His Colleraguer' Methods = 269
Example = 273
4.2.1.1 Possibilistic Regression = 275
Example 1 = 281
Example 2 = 282
4.2.1.2 Possibilistic Group Method of Data Handling = 284
Example = 286
4.2.2 Lai and Hwang's Method = 290
4.2.3 Negi's Method = 292
Example = 295
4.2.4 Luhandjula's Method = 302
Example = 299
4.2.5 Li and Lee's Method = 302
Example = 306
4.2.6 Wierzchon's Method = 309
4.3 Interactive Methods for PMODM = 316
4.3.1 Sakawa and Yano's Method = 316
Example = 322
4.3.2 Solwinski's Method = 324
4.3.2a A Long-Term Development Planning Problem of a Water Supply System = 333
4.3.2b A Land-Use Planning Problem = 338
4.3.2c A Farm Structure Optimization Problem = 342
4.3.3 Rommelfanger's Method = 346
Example = 350
4.4 Hybrid Problems = 351
4.4.1 Tanaka, Ichihashi and Asai's Method = 352
Example = 354
4.4.2 Inuiguchi and Ichihashi's Method = 360
Example = 364
4.5 Possibilistic Multiple Objective Linear Fractional Programming = 368
4.6 Interactive Possibilistic Regression = 373
4.6.1 Crisp Output and Crisp Input = 379
Example = 378
4.6.2 Imprecise Output and Crisp Input = 379
Example = 384
4.6.3 Imprecise Output and Imprecise Input = 386
Example = 392
5 CONCLUDING REMARKS = 394
5.1 Future Research = 395
5.2 Fuzzy Mathematical Programming = 396
5.3 Multiple Attribute Desion Making = 399
5.4 Fuzzy Mutiple Attribute Decision Making = 403
5.5 Group Decision Making under Multiple Criteria = 404
BIBLIOGRAPHY = 410
Books, Monographs and Conference Proceedings = 410
Journal Articles, Technical Reports and Theses = 416
APPENDIX STOCHASTIC PROGRAMMING = 449
A.1 Stochastic Programming with a Single Objective Function = 450
A.1.1 Distribution Problems = 451
A.1.2 Two-stage Programming = 455
A.1.3 Chance-Constrained Programming = 458
A.2 Stochastic Programming with Multiple Objective Functions = 460
A.2.1 Distribution Problem = 460
A.2.2 Goal Programming Problem = 463
A.2.3 Utility Function Problem = 467
A.2.4 Imteractive Problem = 469
References = 475
