Fuzzy Logic in Student Modeling - Advances in Personalized Web-Based Education - page 39

Table 2.1 ORD
C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12 C13 C14 C15

C1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

C2

0 1 0 0 1 1 1 1 1 1 1 1 1 1 1

C3

C4 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1

0 1 0 0 0 0 1 1 1 1 1 1 1 1 1

C5

0 1 0 0 0 0 1 1 1 1 1 1 1 1 1

C6

C7 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1

0 1 0 0 0 0 0 0 0 1 1 1 1 1 1

C8

0 1 0 0 0 0 0 0 0 1 1 1 1 1 1

C9

C10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

C11

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

C12

C13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

C14

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

C15

Table 2.2 PA RT
C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12 C13 C14 C15

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

C1

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

C2

C3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 1 0 0 0 0 0 0 0 0 0 0 0 0

C4

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

C5

C6 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

C7

C8 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0

C9 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0

0 1 0 0 0 0 0 0 0 0 0 0 0 0 0

C10

C11 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0

C12 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0

0 1 0 0 0 0 0 0 0 0 1 0 0 0 0

C13

C14 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0

0 1 0 0 0 0 0 0 0 0 1 0 0 0 0

C15

concept C 3 precedes the concept C 7 . Therefore, ORD [3, 2] = 1. Similarly, C 4
precedes C 8 because C 4 is part-of the concept C 3 , which precedes the concept C 7
whose part is the concept C 8 . C 3 precedes C 7 due to the fact that C 3 precedes C 5 ,
which precedes C 7 . As a result, ORD [4, 8] = 1.