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Galois connection, formal concepts and Galois lattice in real relations: application in a real classifier
Journal article   Peer reviewed

Galois connection, formal concepts and Galois lattice in real relations: application in a real classifier

Ali Jaoua and Samir Elloumi
The Journal of systems and software, Vol.60(2), pp.149-163
01/02/2002
DOI: https://doi.org/10.1016/S0164-1212(01)00087-5

Abstract

Formal concept Galois connection Real classifier Real relation Real set Sequences of intervals
In this paper, we introduce the notion of a real set as an extension of a crisp and a fuzzy set by using sequences of intervals as membership degrees, instead of a single value in [0,1]. We also propose, to extend the notion of Galois connection in a real binary relation as well as the notions of rectangular relation, formal concept and Galois lattice. We present finally a real classifier based on this mathematical foundation.

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