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Book Categories |
1 | Introduction | 1 |
1.1 | Introduction and historical remarks | 1 |
1.2 | Organization of the book | 4 |
2 | Fundamentals of Fuzzy Set Theory | 7 |
2.1 | Fuzzy sets | 7 |
2.2 | Extension principle | 17 |
2.3 | Fuzzy numbers | 22 |
2.4 | Fuzzy decision | 32 |
3 | Fuzzy Linear Programming | 36 |
3.1 | Linear programming and fuzzy linear programming | 36 |
3.2 | Multiobjective linear programming | 43 |
3.3 | Interactive multiobjective linear programming | 61 |
3.4 | Fuzzy multiobjective linear programming | 67 |
3.5 | Interactive fuzzy multiobjective linear programming | 81 |
4 | Fuzzy Nonlinear Programming | 91 |
4.1 | Nonlinear programming and fuzzy nonlinear programming | 91 |
4.2 | Multiobjective nonlinear programming | 103 |
4.3 | Interactive multiobjective nonlinear programming | 117 |
4.4 | Fuzzy multiobjective nonlinear programming | 128 |
4.5 | Interactive fuzzy multiobjective nonlinear programming | 134 |
5 | Interactive Multiobjective Linear Programming With Fuzzy Parameters | 149 |
5.2 | Problem formulation and solution concepts | 151 |
5.3 | Interactive programming | 154 |
5.4 | Interactive fuzzy programming | 160 |
6 | Interactive Multiobjective Nonlinear Programming With Fuzzy Parameters | 174 |
6.2 | Problem formulation and solution concepts | 175 |
6.3 | Interactive nonlinear programming | 178 |
6.4 | Interactive fuzzy nonlinear programming | 186 |
7 | Interactive Computer Programs | 198 |
7.2 | Illustrative examples with computer outputs | 207 |
7.3 | Installation of PC versions for linear models | 223 |
8 | Some Applications | 225 |
8.1 | Packaging system in automated warehouses | 225 |
8.2 | Pass scheduling for hot tandem mills | 233 |
8.3 | Regional planning | 241 |
9 | Further Research Directions | 247 |
9.1 | Multiobjective possibilistic programming | 247 |
9.2 | Multiobjective programming with fuzzy variables and parameters | 255 |
9.3 | Fuzzy multiobjective 0-1 programming through neural computation | 262 |
9.4 | Fuzzy regression analysis | 266 |
Appendix: Hyperplane Methods and Trade-Offs | 274 | |
References | 289 | |
Index | 305 |
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