Large Scale Interactive Fuzzy Multiobjective Programming - Sakawa, Masatoshi

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Résumé :
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Biographie:
Masatoshi Sakawa was born in Matsuyama, Japan on 11 August 1947. He received B.E., M.E., and D.E. degrees in applied mathematics and physics at Kyoto University in 1970, 1972, and 1975, respectively. From 1975 he was with Kobe University where, since 1981, he was an Associate Professor in the Department of Systems Engineering. From 1987 to 1990 he was a Professor in the Department of Computer Science at Iwate University. At present he is a Professor at Hiroshima University and is working with the Department of Artificial Complex Systems Engineering in the Graduate School of Engineering. He was an Honorary Visiting Professor at University of Manchester Institute of Science and Technology (UMIST), Computation Department, sponsored by the Japan Society for the Promotion of Science (JSPS) from March to December 1991. He was also a Visiting Professor at the Kyoto Institute of Economic Research, Kyoto University from April 1991 to March 1992. His research and teaching activities are in the area of systems engineering, especially mathematical optimization, multiobjective decision making, fuzzy mathematical programming and game theory. In addition to over 300 articles in National and International Journals, he is an author and coauthor of 5 books in English and 14 books in Japanese, including the Springer titles Genetic Algorithms and Fuzzy Multiobjective Optimization...

Sommaire:
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 0-1 knapsack problems with block angular structures.- 7.3 Genetic algorithms with decomposition procedures.- 7.4 Numerical experiments.- 8. Large Scale Fuzzy Multiobjective 0-1 Programming.- 8.1 Multiobjective multidimensional 0-1 knapsack problems with block angular structures.- 8.2 Fuzzy goals.- 8.3 Fuzzy multiobjective 0-1 programming.- 8.4 Interactive fuzzymultiobjective 0-1 programming.- 9. Large Scale Interactive Multiobjective 0-1 Programming with Fuzzy Numbers.- 9.1 Introduction.- 9.2 Interactive multiobjective 0-1 programming with fuzzy numbers.- 9.3 Interactive fuzzy multiobjective 0-1 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.