From formal concepts to analogical complexes - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2015

From formal concepts to analogical complexes

Abstract

Reasoning by analogy is an important component of common sense reasoning whose formalization has undergone recent improvements with the logical and algebraic study of the analogical proportion. The starting point of this study considers analogical proportions on a formal context. We introduce analogical complexes, a companion of formal concepts formed by using analogy between four subsets of objects in place of the initial binary relation. They represent subsets of objects and attributes that share a maximal analogical relation. We show that the set of all complexes can be structured in an analogical complex lattice and give explicit formulae for the computation of their infimum and supremum.
Fichier principal
Vignette du fichier
CLA2015.pdf (623.49 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01198943 , version 1 (14-09-2015)

Identifiers

  • HAL Id : hal-01198943 , version 1

Cite

Laurent Miclet, Jacques Nicolas. From formal concepts to analogical complexes. CLA 2015, LIMOS, CNRS et Université Blaise Pascal, Oct 2015, Clermont-Ferrand, France. pp.12. ⟨hal-01198943⟩
177 View
162 Download

Share

Gmail Facebook X LinkedIn More