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Ontology-based Case-Based Reasoning (OntCBR) for Engineering ...

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9. Discussion<br />

Why CSN is effective to search a similar concept structure?<br />

c2<br />

If we only compare concepts in concept structures,<br />

we can miss the meanings of relations in the concept structure.<br />

Concept structure: cs1 Concept structure: cs2<br />

c1<br />

c1<br />

r4<br />

r5<br />

r1 r2 r1 r3<br />

Axiom<br />

∀x,y r4(x,y) → r5(x,y)<br />

c4<br />

c3 c2 c3<br />

c4<br />

58<br />

Concept vector similarity (FEM paper)<br />

CBS(cs1, cs2) = 100%<br />

CBS(v1, v2) = (v1 * v2) / ||v1|| * ||v2||<br />

v1=[1, 1, 1, 1]<br />

v2=[1, 1, 1, 1]<br />

CSN similarity (Our approach)<br />

NetSim(cs1, cs2) = 56.6%<br />

NetSim(cs1, cs2) =<br />

( rel_sim(r1, r1) * con_sim(c2, c2)<br />

+ rel_sim(r2, r3) * con_sim(c3, c3)<br />

+ rel_sim(r4, r5) * con_sim(c4, c4))<br />

/ 3<br />

= ( 1*1 + 0*1 + 0.7*1)/3 = 1.7/3 = 0.566

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