Ebook: Large Scale Interactive Fuzzy Multiobjective Programming: Decomposition Approaches
- Tags: Operations Research/Decision Theory, Artificial Intelligence (incl. Robotics), Calculus of Variations and Optimal Control, Optimization, Business Information Systems
- Series: Studies in Fuzziness and Soft Computing 48
- Year: 2000
- Publisher: Physica-Verlag Heidelberg
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages I-XIV
Introduction....Pages 1-7
Mathematical Preliminaries....Pages 9-39
The Dantzig-Wolfe Decomposition Method....Pages 41-52
Large Scale Fuzzy Linear Programming....Pages 53-64
Large Scale Fuzzy Multiobjective Linear Programming....Pages 65-84
Large Scale Multiobjective Linear Programming with Fuzzy Numbers....Pages 85-116
Genetic Algorithms with Decomposition Procedures....Pages 117-134
Large Scale Fuzzy Multiobjective 0–1 Programming....Pages 135-148
Large Scale Interactive Multiobjective 0–1 Programming with Fuzzy Numbers....Pages 149-171
Further Research Directions....Pages 173-204
Back Matter....Pages 205-218
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.
Content:
Front Matter....Pages I-XIV
Introduction....Pages 1-7
Mathematical Preliminaries....Pages 9-39
The Dantzig-Wolfe Decomposition Method....Pages 41-52
Large Scale Fuzzy Linear Programming....Pages 53-64
Large Scale Fuzzy Multiobjective Linear Programming....Pages 65-84
Large Scale Multiobjective Linear Programming with Fuzzy Numbers....Pages 85-116
Genetic Algorithms with Decomposition Procedures....Pages 117-134
Large Scale Fuzzy Multiobjective 0–1 Programming....Pages 135-148
Large Scale Interactive Multiobjective 0–1 Programming with Fuzzy Numbers....Pages 149-171
Further Research Directions....Pages 173-204
Back Matter....Pages 205-218
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