Large Scale Interactive Fuzzy Multiobjective Programming Decomposition Approaches /

Large Scale Interactive Fuzzy Multiobjective Programming Decomposition Approaches /

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...

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Bibliographic Details
Main Author: Sakawa, Masatoshi (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Heidelberg : Physica-Verlag HD : Imprint: Physica, 2000.
Edition:1st ed. 2000.
Series:Studies in Fuzziness and Soft Computing, 48
Subjects:
Operations research.
Decision making.
Artificial intelligence.
Calculus of variations.
Information technology.
Business-Data processing.
Operations Research/Decision Theory.
Artificial Intelligence.
Calculus of Variations and Optimal Control; Optimization.
IT in Business.
Online Access:Full Text via HEAL-Link
Table of Contents:
  • 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 fuzzy multiobjective 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.

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