Large Scale Interactive Fuzzy Multiobjective Programming

Introduction: Introduction and historical remarks. Organization of the book.- Mathematical Preliminaries: Fuzzy sets. Fuzzy numbers. Fuzzy decision. Mutliobjective linear programming. Interactive fuzzy multiobjective linear programming. Genetic algorithms.- The Dantzig-Wolfe Decomposition Method: Linear programming problems with block angular structures. Development of the decomposition algorithm. Initial feasible basic solution. Unbounded subproblem. Restricted master problem.- Large Scale Fuzzy Linear Programming: Linear programming problems with block angular structures. Fuzzy goal and fuzzy constraints. Fuzzy linear programming. Numerical example.- Large Scale Fuzzy Multiobjective Linear Programming: Multiobjective linear programming problems with block angular structures. Fuzzy goals. Fuzzy multiobjective linear programming. Interactive fuzzy multiobjective linear programming.- Large Scale Multiobjective Linear Programming with Fuzzy Numbers: Introduction. Interactive multiobjective linear programming with fuzzy numbers. Interactive fuzzy multiobjective linear programming with fuzzy numbers. Conclusion.- Genetic Algorithms with Decomposition Procedures: Introduction. Multidimensional 0-1 knapsack problems with block angular structures. Genetic algorithms with decomposition procedures. Numerical experiments.- Large Scale Fuzzy Multiobjective 0-1 Programming: Multiobjective multidimensional 0-1 knapsack problems with block angular structures. Fuzzy goals. Fuzzy multiobjective 0-1 programming. Interactive fuzzy multiobjecticve 0-1 programming.- Large Scale Interactive Multiobjective 0-1 Programming with Fuzzy Numbers: Introduction. Interactive multiobjective 0-1 programming with fuzzy numbers. Ineteractive fuzzy multobjective 0-1 programming with fuzzy numbers. Conclusion.- Further Research Directions: Large sclae interactive fuzzy multiobjective linear fractional programming. Large scale fuzzy multiobjective nonlinear programming.