Large Scale Interactive Fuzzy Multiobjective Programming: Decomposition Approaches
β Scribed by Prof. Dr. Masatoshi Sakawa (auth.)
- Publisher
- Physica-Verlag Heidelberg
- Year
- 2000
- Tongue
- English
- Leaves
- 227
- Series
- Studies in Fuzziness and Soft Computing 48
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Table of Contents
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 0β1 Programming....Pages 135-148
Large Scale Interactive Multiobjective 0β1 Programming with Fuzzy Numbers....Pages 149-171
Further Research Directions....Pages 173-204
Back Matter....Pages 205-218
β¦ Subjects
Operations Research/Decision Theory; Artificial Intelligence (incl. Robotics); Calculus of Variations and Optimal Control; Optimization; Business Information Systems
π SIMILAR VOLUMES
<p><p>Although studies on multiobjective mathematical programming under uncertainty have been accumulated and several books on multiobjective mathematical programming under uncertainty have been published (e.g., Stancu-Minasian (1984); Slowinski and Teghem (1990); Sakawa (1993); Lai and Hwang (1994)
<p>Operations Research is a field whose major contribution has been to propose a rigorous fonnulation of often ill-defmed problems pertaining to the organization or the design of large scale systems, such as resource allocation problems, scheduling and the like. While this effort did help a lot in u
<p>The main characteristics of the real-world decision-making problems facing humans today are multidimensional and have multiple objectives including ecoΒ nomic, environmental, social, and technical ones. Hence, it seems natural that the consideration of many objectives in the actual decision-makin
<p><P>Multiobjective optimization deals with solving problems having not only one, but multiple, often conflicting, criteria. Such problems can arise in practically every field of science, engineering and business, and the need for efficient and reliable solution methods is increasing. The task is c