Fuzzy Sets and Interactive Multiobjective Optimization - Masatoshi Sakawa

Fuzzy Sets and Interactive Multiobjective Optimization

Buch | Hardcover
308 Seiten
1993
Kluwer Academic/Plenum Publishers (Verlag)
978-0-306-44337-4 (ISBN)
160,49 inkl. MwSt
The main characteristics of the real-world decision-making problems facing humans today are multidimensional and have multiple objectives including eco­ nomic, environmental, social, and technical ones. Hence, it seems natural that the consideration of many objectives in the actual decision-making process re­ quires multiobjective approaches rather than single-objective. One ofthe major systems-analytic multiobjective approaches to decision-making under constraints is multiobjective optimization as a generalization of traditional single-objective optimization. Although multiobjective optimization problems differ from single­ objective optimization problems only in the plurality of objective functions, it is significant to realize that multiple objectives are often noncom mensurable and conflict with each other in multiobjective optimization problems. With this ob­ servation, in multiobjective optimization, the notion of Pareto optimality or effi­ ciency has been introduced instead of the optimality concept for single-objective optimization. However, decisions with Pareto optimality or efficiency are not uniquely determined; the final decision must be selected from among the set of Pareto optimal or efficient solutions. Therefore, the question is, how does one find the preferred point as a compromise or satisficing solution with rational pro­ cedure? This is the starting point of multiobjective optimization. To be more specific, the aim is to determine how one derives a compromise or satisficing so­ lution of a decision maker (DM), which well represents the subjective judgments, from a Pareto optimal or an efficient solution set.

1. Introduction.- 2. Fundamentals of Fuzzy Set Theory.- 3. Fuzzy Linear Programming.- 4. Fuzzy Nonlinear Programming.- 5. Interactive Multiobjective Linear Programming with Fuzzy Parameters.- 6. Interactive Multiobjective Nonlinear Programming with Fuzzy Parameters.- 7. Interactive Computer Programs.- 8. Some Applications.- 9. Further Research Directions.- Appendix: Hyperplane Methods and Trade-Offs.- A.1 Hyperplane problems.- A.2 Trade-offs.- References.

Reihe/Serie Applied Information Technology
Zusatzinfo XII, 308 p.
Verlagsort New York
Sprache englisch
Maße 178 x 254 mm
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Logik / Mengenlehre
ISBN-10 0-306-44337-6 / 0306443376
ISBN-13 978-0-306-44337-4 / 9780306443374
Zustand Neuware
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