Compromise point incorporating trade-off ratio in multi-objective optimization
[Display omitted] ► The numerical calculation of the trade-off ratio was proposed. ► Compromise point considering the trade-off ratio is numerically determined. ► The aspiration level to obtain the compromise point is proposed. Through numerical examples, the validity is examined. The aims of multi-...
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| Published in: | Applied soft computing Vol. 12; no. 8; pp. 1959 - 1964 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier B.V
01.08.2012
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| Subjects: | |
| ISSN: | 1568-4946, 1872-9681 |
| Online Access: | Get full text |
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| Summary: | [Display omitted]
► The numerical calculation of the trade-off ratio was proposed. ► Compromise point considering the trade-off ratio is numerically determined. ► The aspiration level to obtain the compromise point is proposed. Through numerical examples, the validity is examined.
The aims of multi-objective optimization are (1) to find pareto-optimal solutions and (2) to analyze the trade-off between conflicting objectives. This paper proposes an interactive method for solving multi-objective optimization problems using the satisficing trade-off method (STOM). In particular, we introduce a trade-off matrix to quantitatively analyze the trade-off between conflicting objectives. Each element of the trade-off matrix consists of a projection matrix of active constraints and gradients of objective functions. In addition, the compromise point and the compromise solution incorporating the trade-off ratio that the decision-maker desires are defined in this paper. The technique to obtain the compromise point is proposed in this paper. Through numerical examples, the validity proposed method is examined. |
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| ISSN: | 1568-4946 1872-9681 |
| DOI: | 10.1016/j.asoc.2012.03.024 |