Skip to main content

Table 3 Step-by-step calculation of \( RB{O}_{Z,{d}_i} \) given P Z k  = {2, 3, 1, 6, 8} and \( {P}_k^{d_i}=\left\{2,\ 1,\ 4,\ 3,\ 5\right\} \)

From: Integrating unified medical language system and association mining techniques into relevance feedback for biomedical literature search

Depth

\( {P}_{depth}^Z\cap {P}_{depth}^{d_i} \)

\( \frac{\left|{P}_{depth}^Z\cap {P}_{depth}^{d_i}\right|}{depth} \)

\( {\varphi}^{depth-1}\frac{\left|{P}_{depth}^Z\cap {P}_{depth}^{d_i}\right|}{depth} \)

1

1

1/1 = 1

(0.9)0 × 1 = 1

2

1

1/2 = 0.5

(0.9)1 × 0.5 = 0.45

3

2

2/3 = 0.67

(0.9)2 × 0.67 = 0.54

4

3

3/4 = 0.75

(0.9)3 × 0.75 = 0.55

5

3

3/5 = 0.6

(0.9)4 × 0.6 = 0.39

\( RB{O}_{Z,{d}_i} \)

(1 − 0.9) × (1 + 0.45 + 0.54 + 0.55 + 0.39) = 0.29