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

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7. Similarity Evaluation<br />

7.2 Graph Structure’s Similarity Calculation<br />

Problem<br />

E<br />

<strong>Case</strong><br />

E<br />

B<br />

K<br />

Key concept<br />

r4<br />

r5<br />

r4<br />

r2<br />

A<br />

B C<br />

r2<br />

r3<br />

D<br />

A<br />

r1<br />

F C<br />

r3<br />

G<br />

H<br />

F D G<br />

Axiom; D ≠ P<br />

r1<br />

P<br />

Problem<br />

<strong>Case</strong><br />

A<br />

r2<br />

B<br />

A<br />

r1<br />

C<br />

r4<br />

B E<br />

r3<br />

B D<br />

r2<br />

r1<br />

c1 c2<br />

r2<br />

c1’ c2’<br />

A<br />

F<br />

0.9<br />

r1<br />

A<br />

C<br />

0<br />

NetSim(Problem, <strong>Case</strong>) = Average( 0.9, 1, 0.9, 0.54) = 0.817<br />

r4<br />

F<br />

E<br />

r5<br />

F<br />

K<br />

r3<br />

0 0 0<br />

0.9 0 0<br />

F<br />

G<br />

0 0 0.54<br />

Max<br />

0 1 0 0 0<br />

1<br />

0 0<br />

0 0<br />

0.54<br />

If ConSim(c1, c1’) > 0,<br />

SubNetSim(Net1, Net2) =<br />

RelSim(r1, r2) * [α * ConSim(c1, c1’) + β * ConSim(c2, c2’)] / 2<br />

If ConSim(c1, c1’) = 0<br />

SubNetSim(Net1, Net2) = 0<br />

* α and β are matching weight value <strong>for</strong> concepts of c1 and c2, respectively.<br />

0 < α and β≤1<br />

0.9<br />

0.9<br />

6<br />

Similarity<br />

Evaluation

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