Title
Sequential approximation method in multi-objective optimization using aspiration level approach
Abstract
One of main issues in multi-objective optimization is to support for choosing a final solution from Pareto frontier which is the set of solution to problem. For generating a part of Pareto optimal solution closest to an aspiration level of decision maker, not the whole set of Pareto optimal solutions, we propose a method which is composed of two steps; i) approximate the form of each objective function by using support vector regression on the basis of some sample data, and ii) generate Pareto frontier to the approximated objective functions based on given the aspiration level. In addition, we suggest to select additional data for approximating sequentially the forms of objective functions by relearning step by step. Finally, the effectiveness of the proposed method will be shown through some numerical examples.
Year
DOI
Venue
2006
10.1007/978-3-540-70928-2_26
EMO
Keywords
Field
DocType
pareto optimal solution,multi-objective optimization,final solution,objective function,approximated objective function,sample data,aspiration level approach,additional data,sequential approximation method,aspiration level,pareto frontier,relearning step,support vector regression,multi objective optimization,decision maker
Mathematical optimization,Support vector machine,Algorithm,Multi-objective optimization,Pareto optimal,Decision maker,Pareto principle,Mathematics
Conference
Volume
ISSN
Citations 
4403
0302-9743
1
PageRank 
References 
Authors
0.35
10
3
Name
Order
Citations
PageRank
Yeboon Yun1388.60
Hirotaka Nakayama212223.18
Min Yoon33410.38