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Math. Comput. Appl. 2017, 22(1), 25; doi:10.3390/mca22010025

A Weakly Pareto Compliant Quality Indicator

Department of Electrical, Electronics and Computer Engineering, University of Catania, Catania 95125, Italy
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Author to whom correspondence should be addressed.
Academic Editor: Fazal M. Mahomed
Received: 15 December 2016 / Revised: 22 February 2017 / Accepted: 27 February 2017 / Published: 6 March 2017
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Abstract

In multi‐ and many‐objective optimization problems, the optimization target is to obtain a set of non‐dominated solutions close to the Pareto‐optimal front, well‐distributed, maximally extended and fully filled. Comparing solution sets is crucial in evaluating the performance of different optimization algorithms. The use of performance indicators is common in comparing those sets and, subsequently, optimization algorithms. Therefore, an effective performance indicator must encompass these features as a whole and, above all, it 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. View Full-Text
Keywords: multi‐objective  optimization;  many‐objective  optimization;  distance  indicator;  algorithms performance; Pareto optimality; quality indicator multi‐objective  optimization;  many‐objective  optimization;  distance  indicator;  algorithms performance; Pareto optimality; quality indicator
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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. (CC BY 4.0).

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MDPI and ACS Style

Dilettoso, E.; Rizzo, S.A.; Salerno, N. A Weakly Pareto Compliant Quality Indicator. Math. Comput. Appl. 2017, 22, 25.

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