Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Bipolarity and the relational division

Authors
Nouredine Tamani, Ludovic Liétard, Daniel Rocacher
Corresponding Author
Nouredine Tamani
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.100How to use a DOI?
Keywords
Relational division, fuzzy bipolar conditions, bipolar division, tolerant bipolar division.
Abstract
A fuzzy bipolar relation is a relation defined by a fuzzy bipolar condition, which could be interpreted as an association of a constraint and a wish. In this context, the extension of the relational division operation to bipolarity is studied in this paper. Firstly, we define a bipolar division when the involved relations are crisp. Then, we define, from the semantic point of view, several forms of bipolar division when the involved relations are defined by fuzzy bipolar conditions. These forms of division can be related to the general model of fuzzy bipolar division introduced in [4, 5].
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Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2011.100How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Nouredine Tamani
AU  - Ludovic Liétard
AU  - Daniel Rocacher
PY  - 2011/08
DA  - 2011/08
TI  - Bipolarity and the relational division
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 424
EP  - 430
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.100
DO  - https://doi.org/10.2991/eusflat.2011.100
ID  - Tamani2011/08
ER  -