Implicator-conjunctor based models of fuzzy rough sets: definitions and properties
- Author
- Lynn D'eer (UGent) , Nele Verbiest (UGent) , Chris Cornelis (UGent) and Lluis Godo
- Organization
- Abstract
- Ever since the first hybrid fuzzy rough set model was proposed in the early 1990' s, many researchers have focused on the definition of the lower and upper approximation of a fuzzy set by means of a fuzzy relation. In this paper, we review those proposals which generalize the logical connectives and quantifiers present in the rough set approximations by means of corresponding fuzzy logic operations. We introduce a general model which encapsulates all of these proposals, evaluate it w.r.t. a number of desirable properties, and refine the existing axiomatic approach to characterize lower and upper approximation operators.
- Keywords
- rough sets, fuzzy sets, hybridization, lower and upper approximation, implication, conjunction, axiomatic approach, APPROXIMATION OPERATORS, SELECTION
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-4389577
- MLA
- D’eer, Lynn, et al. “Implicator-Conjunctor Based Models of Fuzzy Rough Sets: Definitions and Properties.” Lecture Notes in Computer Science, edited by Davide Ciucci et al., vol. 8170, Springer, 2013, pp. 169–79, doi:10.1007/978-3-642-41218-9_18.
- APA
- D’eer, L., Verbiest, N., Cornelis, C., & Godo, L. (2013). Implicator-conjunctor based models of fuzzy rough sets: definitions and properties. In D. Ciucci, M. Inuiguchi, Y. Yao, D. Ślęzak, & G. Wang (Eds.), Lecture Notes in Computer Science (Vol. 8170, pp. 169–179). https://doi.org/10.1007/978-3-642-41218-9_18
- Chicago author-date
- D’eer, Lynn, Nele Verbiest, Chris Cornelis, and Lluis Godo. 2013. “Implicator-Conjunctor Based Models of Fuzzy Rough Sets: Definitions and Properties.” In Lecture Notes in Computer Science, edited by Davide Ciucci, Masahiro Inuiguchi, Yiyu Yao, Dominik Ślęzak, and Guoyin Wang, 8170:169–79. Berlin, Germany: Springer. https://doi.org/10.1007/978-3-642-41218-9_18.
- Chicago author-date (all authors)
- D’eer, Lynn, Nele Verbiest, Chris Cornelis, and Lluis Godo. 2013. “Implicator-Conjunctor Based Models of Fuzzy Rough Sets: Definitions and Properties.” In Lecture Notes in Computer Science, ed by. Davide Ciucci, Masahiro Inuiguchi, Yiyu Yao, Dominik Ślęzak, and Guoyin Wang, 8170:169–179. Berlin, Germany: Springer. doi:10.1007/978-3-642-41218-9_18.
- Vancouver
- 1.D’eer L, Verbiest N, Cornelis C, Godo L. Implicator-conjunctor based models of fuzzy rough sets: definitions and properties. In: Ciucci D, Inuiguchi M, Yao Y, Ślęzak D, Wang G, editors. Lecture Notes in Computer Science. Berlin, Germany: Springer; 2013. p. 169–79.
- IEEE
- [1]L. D’eer, N. Verbiest, C. Cornelis, and L. Godo, “Implicator-conjunctor based models of fuzzy rough sets: definitions and properties,” in Lecture Notes in Computer Science, Halifax, NS, Canada, 2013, vol. 8170, pp. 169–179.
@inproceedings{4389577,
abstract = {{Ever since the first hybrid fuzzy rough set model was proposed in the early 1990' s, many researchers have focused on the definition of the lower and upper approximation of a fuzzy set by means of a fuzzy relation. In this paper, we review those proposals which generalize the logical connectives and quantifiers present in the rough set approximations by means of corresponding fuzzy logic operations. We introduce a general model which encapsulates all of these proposals, evaluate it w.r.t. a number of desirable properties, and refine the existing axiomatic approach to characterize lower and upper approximation operators.}},
author = {{D'eer, Lynn and Verbiest, Nele and Cornelis, Chris and Godo, Lluis}},
booktitle = {{Lecture Notes in Computer Science}},
editor = {{Ciucci, Davide and Inuiguchi, Masahiro and Yao, Yiyu and Ślęzak, Dominik and Wang, Guoyin}},
isbn = {{9783642412172}},
issn = {{0302-9743}},
keywords = {{rough sets,fuzzy sets,hybridization,lower and upper approximation,implication,conjunction,axiomatic approach,APPROXIMATION OPERATORS,SELECTION}},
language = {{eng}},
location = {{Halifax, NS, Canada}},
pages = {{169--179}},
publisher = {{Springer}},
title = {{Implicator-conjunctor based models of fuzzy rough sets: definitions and properties}},
url = {{http://doi.org/10.1007/978-3-642-41218-9_18}},
volume = {{8170}},
year = {{2013}},
}
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