Chaque axiome de sous-TBox produit des "branches OR" dans le processus d'exécution du raisonnement Donc le nombre d'axiomes de la plus grande sous-TBox m i influence également le temps de SAT-DIST et de SAT-PARA sur la TBox-décomposante . Ce propre m i est la largeur de l'arbre de décomposition. Par conséquent, si nous supposons que f sat (m) = ?(2 m ), le problème de recherche de la décomposition optimale pour les SAT-PARA et SAT-DIST est équivalent à la recherche de largeur arborescente (triangulations de nombre de clique minimum) Dans ce mémoire ,
M devrait être choisi à 1, k devrait être choisi à n (n = |Ex(A)|), et l'algorithme arrêtera uniquement la décomposition récursive lorsqu'il atteindra un graphe qui est une clique ,
V n de V dont l'association entre les sommets de chaque V i est maximale et l'association des sommets entre les V i , V j différents est minimale. Ce principe est bien appliqué dans la segmentation d'image ,
arêtes avec les valeurs de poids, est appelé un graphe d'axiome si chaque sommet v ? V est un axiome dans la TBox T , chaque arête e = (u, v) ? E si u, v ? V et il y a au moins un symbole partagé entre u et v ,
figure 8.2 ci-dessus est représentée par un graphe d'axiome comme dans la Figure 8 ,
nous avons étudié un ensemble d'éléments de la théorie de décomposition overlay qui permet de transformer une ontologie en la logique de description (LD) dans un ensemble des ontologies en la logique de description distribuée (LDD) Nous avions pour objectif de montrer la préservation sémantique et d'inférence d'une telle décomposition ,
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