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A Weakly Pareto Compliant Quality Indicator
Version 1 : Received: 15 December 2016 / Approved: 16 December 2016 / Online: 16 December 2016 (08:31:29 CET)
A peer-reviewed article of this Preprint also exists.
Dilettoso, E.; Rizzo, S.A.; Salerno, N. A Weakly Pareto Compliant Quality Indicator. Math. Comput. Appl. 2017, 22, 25. Dilettoso, E.; Rizzo, S.A.; Salerno, N. A Weakly Pareto Compliant Quality Indicator. Math. Comput. Appl. 2017, 22, 25.
In multi-objective optimization problems, the optimization target is to obtain a set of non-dominated solutions. Comparing solution sets is crucial in evaluating the performances of different optimization algorithms. The use of performance indicators is common in comparing those sets and, subsequently, optimization algorithms. A good solution set must be close to the Pareto-optimal front, well-distributed, maximally extended and fully filled. Therefore, an effective performance indicator must encompass these features as a whole and must be Pareto dominance compliant. Unfortunately, some of the known indicators often fail to properly reflect the quality of a solution set or cost a lot to compute. This paper demonstrates that the Degree of Approximation (DOA) quality indicator, is a weakly Pareto compliant unary indicator that gives a good estimation of the match between the approximated front and the Pareto-optimal front. Moreover, DOA computation is easy and fast.
multiple criteria analysis; algorithms performance; Pareto optimality; quality indicator
MATHEMATICS & COMPUTER SCIENCE, Numerical Analysis & Optimization
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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