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Figure 3. The membership function of relative weight.
Table 1. The definitions of the membership functions
Category Class
Full Understanding
Membership function
5 aa , ∈[0,0.2]
= { 2−5 aa , ∈[0.2,0.4]
Understanding
a− = { −
a∈
aa∈
Alternative
Average
5a−1.5, a∈[0.3,0.5]
= { 3.5−5 aa , ∈[0.5,0.7]
Misunderstanding
a− = { −
aa∈
aa∈
Full Misunderstanding
5a−3, a∈[0.6,0.8]
= { 5−5 aa , ∈[0.8,1]
Very poor
5 rr , ∈[0,0.2]
= { 2−5 rr , ∈[0.2,0.4]
Poor
r− = { −
r∈
rr∈
Rating
Average
5r−1.5, r∈[0.3,0.5]
= { 3.5−5 rr , ∈[0.5,0.7]
Good
5r−2.25, r∈[0.45,0.65]
= { 4.26−5 rr , ∈[0.65,0.85]
Very good
5r−3, r∈[0.6,0.8]
=
{ 5−5 rr , ∈[0.8,1]
5 0.75, [0.15,0.35]
2.75 5 , [0.35,0.55]
5 2.25 , [0.45,0.65]
4.26 5 , [0.65,0.85]
5 0.75, [0.15,0.35]
2.75 5 , [0.35,0.55]
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