The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
An Efficient Approach to Nondominated Sorting for Evolutionary Multiobjective Optimization
Abstract
Evolutionary algorithms have been shown to be powerful for solving multiobjective optimization problems, in which nondominated sorting is a widely adopted technique in selection. This technique, however, can be computationally expensive, especially when the number of individuals in the population becomes large. This is mainly because in most existing nondominated sorting algorithms, a solution needs to be compared with all other solutions before it can be assigned to a front. In this paper we propose a novel, computationally efficient approach to nondominated sorting, termed efficient nondominated sort (ENS). In ENS, a solution to be assigned to a front needs to be compared only with those that have already been assigned to a front, thereby avoiding many unnecessary dominance comparisons. Based on this new approach, two nondominated sorting algorithms have been suggested. Both theoretical analysis and empirical results show that the ENS-based sorting algorithms are computationally more efficient than the state-of-the-art nondominated sorting methods.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
A fast and elitist multiobjective genetic algorithm: NSGA-II
Deb, K., Pratap, A., Agarwal, S., & Meyarivan, T. (2002) · IEEE Transactions on Evolutionary Computation · doi:10.1109/4235.996017 · Cited by 50,053
Muiltiobjective Optimization Using Nondominated Sorting in Genetic Algorithms
Srinivas, N., & Deb, K. (1994) · Evolutionary Computation · doi:10.1162/evco.1994.2.3.221 · Cited by 6,935
An efficient constraint handling method for genetic algorithms
Deb, K. (2000) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/s0045-7825(99)00389-8 · Cited by 3,892
Scalable multi-objective optimization test problems
Deb, K., Thiele, L., Laumanns, M., & Zitzler, E. (2003) · Proceedings of the 2002 Congress on Evolutionary Computation. CEC'02 (Cat. No.02TH8600) · doi:10.1109/cec.2002.1007032 · Cited by 1,627
Combining Convergence and Diversity in Evolutionary Multiobjective Optimization
Laumanns, M., Thiele, L., Deb, K., & Zitzler, E. (2002) · Evolutionary Computation · doi:10.1162/106365602760234108 · Cited by 1,487
PESA-II: region-based selection in evolutionary multiobjective optimization
Corne, D., Jerram, N. R., Knowles, J. D., & Oates, M. J. (2001) · Cited by 1,011
SPEA2: Improving the Strength Pareto Evolutionary Algorithm For Multiobjective Optimization
Zitzler, E., Giannakoglou, K., Tsahalis, D., Periaux, J., Papailiou, K., (eds, T. F., Ler, E. Z., Laumanns, M., & Thiele, L. (2002) · Cited by 1,010
Williams, J. W. J. (1964) · Communications of the ACM · doi:10.1145/512274.3734138 · Cited by 527
Reducing the Run-Time Complexity of Multiobjective EAs: The NSGA-II and Other Algorithms
Jensen, M. T. (2003) · IEEE Transactions on Evolutionary Computation · doi:10.1109/tevc.2003.817234 · Cited by 458
M-PAES: a memetic algorithm for multiobjective optimization
Knowles, J. D., & Corne, D. W. (2002) · Proceedings of the 2000 Congress on Evolutionary Computation. CEC00 (Cat. No.00TH8512) · doi:10.1109/cec.2000.870313 · Cited by 359
Cited by
Platemo: a matlab platform for evolutionary multi-objective optimization [educational forum]
Tian, Y., Cheng, R., Zhang, X., & Jin, Y. (2017) · IEEE Computational Intelligence Magazine · doi:10.1109/mci.2017.2742868 · Cited by 2,777
Self-citationA Reference Vector Guided Evolutionary Algorithm for Many-Objective Optimization
Cheng, R., Jin, Y., Olhofer, M., & Sendhoff, B. (2016) · IEEE Transactions on Evolutionary Computation · doi:10.1109/tevc.2016.2519378 · Cited by 1,760
Self-citationMultiobjective Deep Belief Networks Ensemble for Remaining Useful Life Estimation in Prognostics
Zhang, C., Lim, P., Qin, A. K., & Tan, K. C. (2017) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2016.2582798 · Cited by 870
Tian, Y., Cheng, R., Zhang, X., Cheng, F., & Jin, Y. (2018) · IEEE Transactions on Evolutionary Computation · doi:10.1109/tevc.2017.2749619 · Cited by 699
Self-citationBinary differential evolution with self-learning for multi-objective feature selection
Zhang, Y., Gong, D.-W., Gao, X.-Z., Tian, T., & Sun, X.-Y. (2020) · Information Sciences · doi:10.1016/j.ins.2019.08.040 · Cited by 429
Metadata
- Authors
- Zhang, X., Tian, Y., Cheng, R., & Jin, Y.
- Venue
- IEEE Transactions on Evolutionary Computation
- Published
- 2015-04
- Volume
- 19
- Issue
- 2
- Pages
- 201-213
- ISSN
- 1089-778X (ISSN-L)
- 1941-0026
- OpenAlex
- W1833634424
- Cited by
- 531
- References
- 14
- FWCI
- 40.19
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: An Efficient Approach to Nondominated Sorting for Evolutionary Multiobjective Optimization. https://app.cochat.ai/papers/10.1109/tevc.2014.2308305
- The paper
- Zhang, X., Tian, Y., Cheng, R., & Jin, Y. (2015). An Efficient Approach to Nondominated Sorting for Evolutionary Multiobjective Optimization. IEEE Transactions on Evolutionary Computation. https://doi.org/10.1109/tevc.2014.2308305
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.