Ordered weighted average based fuzzy rough sets
- Author
- Chris Cornelis (UGent) , Nele Verbiest (UGent) and Richard Jensen
- Organization
- Abstract
- Traditionally, membership to the fuzzy-rough lower, resp. upper approximation is determined by looking only at the worst, resp. best performing object. Consequently, when applied to data analysis problems, these approximations are sensitive to noisy and/or outlying samples. In this paper, we advocate a mitigated approach, in which membership to the lower and upper approximation is determined by means of an aggregation process using ordered weighted average operators. In comparison to the previously introduced vaguely quantified rough set model, which is based on a similar rationale, our proposal has the advantage that the approximations are monotonous w.r.t. the used fuzzy indiscernibility relation. Initial experiments involving a feature selection application confirm the potential of the OWA-based model.
- Keywords
- fuzzy rough sets, vaguely quantified rough sets, ordered, weighted average, aggregation operators, data analysis, noise tolerance
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-1225042
- MLA
- Cornelis, Chris, et al. “Ordered Weighted Average Based Fuzzy Rough Sets.” LECTURE NOTES IN COMPUTER SCIENCE, edited by Jian Yu et al., vol. 6401, Springer, 2010, pp. 78–85, doi:10.1007/978-3-642-16248-0_16.
- APA
- Cornelis, C., Verbiest, N., & Jensen, R. (2010). Ordered weighted average based fuzzy rough sets. In J. Yu, S. Greco, P. Lingras, G. Wang, & A. Skowron (Eds.), LECTURE NOTES IN COMPUTER SCIENCE (Vol. 6401, pp. 78–85). https://doi.org/10.1007/978-3-642-16248-0_16
- Chicago author-date
- Cornelis, Chris, Nele Verbiest, and Richard Jensen. 2010. “Ordered Weighted Average Based Fuzzy Rough Sets.” In LECTURE NOTES IN COMPUTER SCIENCE, edited by Jian Yu, Salvatore Greco, Pawan Lingras, Guoyin Wang, and Andzrej Skowron, 6401:78–85. Berlin, Germany: Springer. https://doi.org/10.1007/978-3-642-16248-0_16.
- Chicago author-date (all authors)
- Cornelis, Chris, Nele Verbiest, and Richard Jensen. 2010. “Ordered Weighted Average Based Fuzzy Rough Sets.” In LECTURE NOTES IN COMPUTER SCIENCE, ed by. Jian Yu, Salvatore Greco, Pawan Lingras, Guoyin Wang, and Andzrej Skowron, 6401:78–85. Berlin, Germany: Springer. doi:10.1007/978-3-642-16248-0_16.
- Vancouver
- 1.Cornelis C, Verbiest N, Jensen R. Ordered weighted average based fuzzy rough sets. In: Yu J, Greco S, Lingras P, Wang G, Skowron A, editors. LECTURE NOTES IN COMPUTER SCIENCE. Berlin, Germany: Springer; 2010. p. 78–85.
- IEEE
- [1]C. Cornelis, N. Verbiest, and R. Jensen, “Ordered weighted average based fuzzy rough sets,” in LECTURE NOTES IN COMPUTER SCIENCE, Beijing, PR China, 2010, vol. 6401, pp. 78–85.
@inproceedings{1225042,
abstract = {{Traditionally, membership to the fuzzy-rough lower, resp. upper approximation is determined by looking only at the worst, resp. best performing object. Consequently, when applied to data analysis problems, these approximations are sensitive to noisy and/or outlying samples. In this paper, we advocate a mitigated approach, in which membership to the lower and upper approximation is determined by means of an aggregation process using ordered weighted average operators. In comparison to the previously introduced vaguely quantified rough set model, which is based on a similar rationale, our proposal has the advantage that the approximations are monotonous w.r.t. the used fuzzy indiscernibility relation. Initial experiments involving a feature selection application confirm the potential of the OWA-based model.}},
author = {{Cornelis, Chris and Verbiest, Nele and Jensen, Richard}},
booktitle = {{LECTURE NOTES IN COMPUTER SCIENCE}},
editor = {{Yu, Jian and Greco, Salvatore and Lingras, Pawan and Wang, Guoyin and Skowron, Andzrej}},
isbn = {{9783642162473}},
issn = {{0302-9743}},
keywords = {{fuzzy rough sets,vaguely quantified rough sets,ordered,weighted average,aggregation operators,data analysis,noise tolerance}},
language = {{eng}},
location = {{Beijing, PR China}},
pages = {{78--85}},
publisher = {{Springer}},
title = {{Ordered weighted average based fuzzy rough sets}},
url = {{http://doi.org/10.1007/978-3-642-16248-0_16}},
volume = {{6401}},
year = {{2010}},
}
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