Comparing Solutions under Uncertainty in Multiobjective Optimization
Joint Authors
Tušar, Tea
Filipič, Bogdan
Mlakar, Miha
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Due to various reasons the solutions in real-world optimization problems cannot always be exactly evaluated but are sometimes represented with approximated values and confidence intervals.
In order to address this issue, the comparison of solutions has to be done differently than for exactly evaluated solutions.
In this paper, we define new relations under uncertainty between solutions in multiobjective optimization that are represented with approximated values and confidence intervals.
The new relations extend the Pareto dominance relations, can handle constraints, and can be used to compare solutions, both with and without the confidence interval.
We also show that by including confidence intervals into the comparisons, the possibility of incorrect comparisons, due to inaccurate approximations, is reduced.
Without considering confidence intervals, the comparison of inaccurately approximated solutions can result in the promising solutions being rejected and the worse ones preserved.
The effect of new relations in the comparison of solutions in a multiobjective optimization algorithm is also demonstrated.
American Psychological Association (APA)
Mlakar, Miha& Tušar, Tea& Filipič, Bogdan. 2014. Comparing Solutions under Uncertainty in Multiobjective Optimization. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-500540
Modern Language Association (MLA)
Mlakar, Miha…[et al.]. Comparing Solutions under Uncertainty in Multiobjective Optimization. Mathematical Problems in Engineering No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-500540
American Medical Association (AMA)
Mlakar, Miha& Tušar, Tea& Filipič, Bogdan. Comparing Solutions under Uncertainty in Multiobjective Optimization. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-500540
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500540