Author | Sakawa, Masatoshi. author |
---|---|
Title | Large Scale Interactive Fuzzy Multiobjective Programming [electronic resource] : Decomposition Approaches / by Masatoshi Sakawa |
Imprint | Heidelberg : Physica-Verlag HD : Imprint: Physica, 2000 |
Connect to | http://dx.doi.org/10.1007/978-3-7908-1851-2 |
Descript | XIV, 217 p. 24 illus. online resource |
1. Introduction -- 1.1 Introduction and historical remarks -- 1.2 Organization of the book -- 2. Mathematical Preliminaries -- 2.1 Fuzzy sets -- 2.2 Fuzzy numbers -- 2.3 Fuzzy decision -- 2.4 Multiobjective linear programming -- 2.5 Interactive multiobjective linear programming -- 2.6 Interactive fuzzy multiobjective linear programming -- 2.7 Genetic algorithms -- 3. The Dantzig-Wolfe Decomposition Method -- 3.1 Linear programming problems with block angular structures -- 3.2 Development of the decomposition algorithm -- 3.3 Initial feasible basic solution -- 3.4 Unbounded subproblem -- 3.5 Restricted master problem -- 4. Large Scale Fuzzy Linear Programming -- 4.1 Linear programming problems with block angular structures -- 4.2 Fuzzy goal and fuzzy constraints -- 4.3 Fuzzy linear programming -- 4.4 Numerical example -- 5. Large Scale Fuzzy Multiobjective Linear Programming -- 5.1 Multiobjective linear programming problems with block angular structures -- 5.2 Fuzzy goals -- 5.3 Fuzzy multiobjective linear programming -- 5.4 Interactive fuzzy multiobjective linear programming -- 6. Large Scale Multiobjective Linear Programming with Fuzzy Numbers -- 6.1 Introduction -- 6.2 Interactive multiobjective linear programming with fuzzy numbers -- 6.3 Interactive fuzzy multiobjective linear programming with fuzzy numbers -- 6.4 Conclusion -- 7. Genetic Algorithms with Decomposition Procedures -- 7.1 Introduction -- 7.2 Multidimensional 0โ1 knapsack problems with block angular structures -- 7.3 Genetic algorithms with decomposition procedures -- 7.4 Numerical experiments -- 8. Large Scale Fuzzy Multiobjective 0โ1 Programming -- 8.1 Multiobjective multidimensional 0โ1 knapsack problems with block angular structures -- 8.2 Fuzzy goals -- 8.3 Fuzzy multiobjective 0โ1 programming -- 8.4 Interactive fuzzy multiobjective 0โ1 programming -- 9. Large Scale Interactive Multiobjective 0โ1 Programming with Fuzzy Numbers -- 9.1 Introduction -- 9.2 Interactive multiobjective 0โ1 programming with fuzzy numbers -- 9.3 Interactive fuzzy multiobjective 0โ1 programming with fuzzy numbers -- 9.4 Conclusion -- 10. Further Research Directions -- 10.1 Large scale fuzzy multiobjective linear fractional programming -- 10.2 Large scale fuzzy multiobjective nonlinear programming -- References