Bipolarity and the relational division

Nouredine Tamani (1) , Ludovic Lietard (1) , Daniel Rocacher (1)

1 PILGRIM - Gradedness, Imprecision, and Mediation in Database Management Systems

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 by Bosc and Pivert.

Domaines: Informatique et langage [cs.CL]

Nouredine Tamani, Ludovic Lietard, Daniel Rocacher. Bipolarity and the relational division. The Joint 7th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT'11) and Rencontres Francophones sur la Logique Floue et ses Applications (LFA'11),, Jul 2011, France. pp.424-430. ⟨hal-00657281⟩