PASS Assessment Scheme Construction. ⥠0. [0,1]. [0,1]. [0,1]. ⥠0. ⥠0. 3,8 .... multi-level profile. (n = 5). Gmin + (Gmax - Gmin) * exp(1 â exp(score , r) , 1/r). â.
PASS Assessment Scheme Construction
≥0
3,8 grade
───
[0,1]
0,53 score
───
DHBW model
￨
DHBW
┊ PASS1 PASS2
┊ XYZ
￨
─── ─── ─── ─── ───
[0,1]
≥0
[0,1]
≥0
1,000
0,000
1,0
7,0
curvature
polarity
Gmin
Gmax
￨
￨
￨
￨
1,000
0,000
1,0
7,0
┊
┊
┊
┊
1,568
0,000
0,0
5,0
1,628
0,000
1,0
5,0
┊
┊
┊
┊
-
-
-
-
￨
￨
[0,1]
0,53 score
￨
───
￨
───
min( 5 , Gmin + (Gmax - Gmin) * (1 − score))
───
min( 5 , G min + (Gmax - G min) * (1 − score))
─── ─── ───
formula
￨ ┊
max( 1 , G max * exp(1 − exp(score , r) , 1/r) Gmin + (Gmax - G min) * exp(1 − exp(score , r) , 1/r)
┊ see table XYZ from educational institute ABC
￨
P55 invoke
￨ substitute by
Fuzzy Addition
Fuzzy Multiplication
≥0
FA
FM
1,38
￨ ￨ ￨
0,20 lenience [0,1]
0,30 weight
────
[0,1]
0,30 weight
────
[0,1]
0,40 weight
────
￨[0,1]
0,60
0,50 impact
score
0,50 impact
0,90
┋ ┋[0,1]
──── ────
0,55
0,60
score
impact
────
1-p
p
LL
JJ
P52 100%
───
15%
85%
20
───
3
17
1 4 5 2 8
─── ─── ─── ─── ───
1
0 4 4 1 8
￨ ￨
￨
￨ ￨ 1 1
￨
￨
└──
90%
0,85
0,50
score
impact
────
┋ ┋ ≥0 1,00
performance
multi-level profile P15 100% ∑pi
└──
JJ
─────10%
100%
[0,1]
(n = 5)
P12
LL
￨[0,1]
￨ ≥0
1,38
performance
score [0,1]
￨ ≥0
2,00
performance
[0,1]
￨[0,1]
0,75
Profile
holistic profile (m = 1)
score [0,1]
￨[0,1]
two-level profile (n = 2)
analytic profile (m = 5)
0,75
substitute by Fuzzy Division
score
① ② ③ ④ ⑤
￨[0,1]
performance
[0,1]
───
LL
L
K
J
JJ
5%
5%
30%
40%
20%
p1
p2
p3
p4
p5
───
P55
───
LL
L
K
J
JJ
100%
10%
25%
25%
25%
15%
20
───
2
5
5
5
3
1 4 5 2 8
─── ─── ─── ─── ───
￨
￨
① ② ③ ④ ⑤
￨
￨
￨
￨
￨
￨
￨
￨
￨
￨
1 1
2 2 1
1 1
￨
￨
￨
￨
￨
LL
L
K
J
JJ
①
②
③
④
⑤
3
￨
￨
1 0 1 3
￨ 1
2
───
￨[0,1]
0,5
tolerance
￨[0,1]
0,5
tolerance
─── ─── ─── ─── ───
calculated score entries from one or more assessors
Qualitätsstufen (≥ 2)
calculated performance defaults and configuration parameters
Qualitätskriterien (≥ 2)
other calculations
© Paul Hubert Vossen
2014-03-10
