By Cathy Williams
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G2 can be projected in the graph G1 through the projections P1 and G1 is more speciﬁc than G2. We use injective projections. Two different nodes of one graph have two different images in the other graph. Maximal join is a projection based operation deﬁned on conceptual graphs. for Soft Data Fusion Semantic Knowledge Representations for Soft Data Fusion Semantic Knowledge Representations 21 19 The maximal join is composed of two components. First, it tests the compatibility of two elements of the graphs and then fuses them actually.
Let t be the threshold deﬁned by the end user. t ∈ R +∗ . (v1 , v2 ) ∈ R2 are two numerical values that must be compared. 3 Similarity regarding the context of the concepts In order to compare the context in which the two concepts are expressed, we propose to compare their immediate neighborhood. Intuitively, the similarity measure of two concepts regarding their context is processed by measuring the proportion of relations linked to the concepts and that have the same type and the proportion of relations that have different types.
G2 ). simGraph ( G1 , G2 ) = ∑ (maxc2 ∈C2 p(t1,2 ) ∗ sim|gene (c1 , c2 )) c1 ∈C1 ∑ (c1 ,c2 )∈C1 ×C2 | p(t1,2 ) ∀c3 ∈C2 ,c3 =c2 ∧ sim|gene (c1 ,c3 )