On the compatibility of a ternary relation with a binary fuzzy relation
- Author
- Omar Barkat, Lemnaouar Zedam (UGent) and Bernard De Baets (UGent)
- Organization
- Abstract
- Recently, De Baets et al. have characterized the fuzzy tolerance relations that a given strict order relation is compatible with. In general, the compatibility of a strict order relation with a binary fuzzy relation guarantees also the compatibility of its associated betweenness relation with that binary fuzzy relation. In this paper, we study the compatibility of an arbitrary ternary relation with a binary fuzzy relation. We prove that this compatibility can be expressed in terms of inclusions of the binary fuzzy relation in the traces of the given ternary relation.
- Keywords
- Ternary relation, binary fuzzy relation, traces of a ternary relation, compatibility, VALUED EQUIVALENCE-RELATIONS, LATTICES, ALGEBRA
Downloads
-
(...).pdf
- full text
- |
- UGent only
- |
- |
- 343.10 KB
Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8626851
- MLA
- Barkat, Omar, et al. “On the Compatibility of a Ternary Relation with a Binary Fuzzy Relation.” INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, vol. 27, no. 4, 2019, pp. 595–612, doi:10.1142/s0218488519500260.
- APA
- Barkat, O., Zedam, L., & De Baets, B. (2019). On the compatibility of a ternary relation with a binary fuzzy relation. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 27(4), 595–612. https://doi.org/10.1142/s0218488519500260
- Chicago author-date
- Barkat, Omar, Lemnaouar Zedam, and Bernard De Baets. 2019. “On the Compatibility of a Ternary Relation with a Binary Fuzzy Relation.” INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS 27 (4): 595–612. https://doi.org/10.1142/s0218488519500260.
- Chicago author-date (all authors)
- Barkat, Omar, Lemnaouar Zedam, and Bernard De Baets. 2019. “On the Compatibility of a Ternary Relation with a Binary Fuzzy Relation.” INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS 27 (4): 595–612. doi:10.1142/s0218488519500260.
- Vancouver
- 1.Barkat O, Zedam L, De Baets B. On the compatibility of a ternary relation with a binary fuzzy relation. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS. 2019;27(4):595–612.
- IEEE
- [1]O. Barkat, L. Zedam, and B. De Baets, “On the compatibility of a ternary relation with a binary fuzzy relation,” INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, vol. 27, no. 4, pp. 595–612, 2019.
@article{8626851,
abstract = {{Recently, De Baets et al. have characterized the fuzzy tolerance relations that a given strict order relation is compatible with. In general, the compatibility of a strict order relation with a binary fuzzy relation guarantees also the compatibility of its associated betweenness relation with that binary fuzzy relation. In this paper, we study the compatibility of an arbitrary ternary relation with a binary fuzzy relation. We prove that this compatibility can be expressed in terms of inclusions of the binary fuzzy relation in the traces of the given ternary relation.}},
author = {{Barkat, Omar and Zedam, Lemnaouar and De Baets, Bernard}},
issn = {{0218-4885}},
journal = {{INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS}},
keywords = {{Ternary relation,binary fuzzy relation,traces of a ternary relation,compatibility,VALUED EQUIVALENCE-RELATIONS,LATTICES,ALGEBRA}},
language = {{eng}},
number = {{4}},
pages = {{595--612}},
title = {{On the compatibility of a ternary relation with a binary fuzzy relation}},
url = {{http://doi.org/10.1142/s0218488519500260}},
volume = {{27}},
year = {{2019}},
}
- Altmetric
- View in Altmetric
- Web of Science
- Times cited: