Simultaneous considerations of multiobjectiveness, fuzziness and block angular structures involved in the real-world decision making problems lead us to the new field of interactive multiobjective optimization for large scale programming problems under fuzziness. The aim of this book is to introduce the latest advances in the new field of interactive multiobjective optimization for large scale programming problems under fuzziness on the basis of the author's continuing research. Special stress is placed on interactive decision making aspects of fuzzy multiobjective optimization for human-centered systems in most realistic situations when dealing with fuzziness. The book is intended for graduate students, researchers and practitioners in the fields of operations research, industrial engineering, management science and computer science.

Autorentext

Masatoshi Sakawa was born in Matsuyama, Japan, on 11 August l947. 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 l987 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 Arti cial 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 l991 to March l992. 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 6 books in English and 14 books in Japanese, including the Springer titles Genetic Algorithms and Fuzzy Multiobjective Optimization; Fuzzy Sets and Interactive Multiobjective Optimization; Large-Scale Interactive Fuzzy Multiobjective Programming: Decomposition Approaches; and, with Nishizaki, Fuzzy and Multiobjective Games for Conflict Resolution. Hitoshi Yano is with the Department of Social Sciences, School of Humanities and Social Sciences, Nagoya City University. Ichiro Nishizaki received B.E. and M.E. degrees in systems engineering at Kobe University in 1982 and 1984, respectively, and he received the D.E. degree from Hiroshima University in 1993. From 1984 to 1990, he worked for Nippon SteelCorporation. From 1990 to 1993, he was a Research Associate at the Kyoto Institute of Economic Research, Kyoto University. From 1993 to 1996, he was an Associate Professor in the Faculty of Business Administration and Informatics at Setsunan University. From 1997 to 2001, he was an Associate Professor at Hiroshima University, and was working with the Department of Artificial Complex Systems Engineering in the Graduate School of Engineering. At present, he is a Professor in that department. His research and teaching activities are in the area of systems engineering, especially game theory, multiobjective decision making, and fuzzy mathematical programming. He is an author or coauthor of about eighty papers, one book in English (Springer: "Fuzzy and Multiobjective Games for Conflict Resolution"), and two books in Japanese.

Inhalt

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 01 knapsack problems with block angular structures.- 7.3 Genetic algorithms with decomposition procedures.- 7.4 Numerical experiments.- 8. Large Scale Fuzzy Multiobjective 01 Programming.- 8.1 Multiobjective multidimensional 01 knapsack problems with block angular structures.- 8.2 Fuzzy goals.- 8.3 Fuzzy multiobjective 01 programming.- 8.4 Interactive fuzzymultiobjective 01 programming.- 9. Large Scale Interactive Multiobjective 01 Programming with Fuzzy Numbers.- 9.1 Introduction.- 9.2 Interactive multiobjective 01 programming with fuzzy numbers.- 9.3 Interactive fuzzy multiobjective 01 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.