I
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t
io
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l J
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l o
f
Adv
a
nces in Applie
d Science
s
(
I
J
AAS)
Vo
l.
1
5
,
No
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1
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Ma
r
ch
20
2
6
,
p
p
.
23
5
~
24
3
I
SS
N:
2252
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8
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1
4
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DOI
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1
1
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pp
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235
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/f
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[
1
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W
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[
2
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[
3
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1
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4
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5
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6
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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I
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an
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[
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1
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1
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Mo
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e
r
ec
e
n
tly
,
f
u
zz
y
lo
g
ic
was
ap
p
lied
in
r
esea
r
ch
to
p
r
e
d
ict
p
er
f
o
r
m
a
n
ce
in
p
h
y
s
ical
ed
u
ca
tio
n
,
d
em
o
n
s
tr
atin
g
its
p
r
ed
ictiv
e
a
n
d
in
ter
p
r
eti
v
e
v
alu
e
[
1
6
]
.
T
h
is
ap
p
r
o
ac
h
was
ex
ten
d
e
d
b
y
in
c
o
r
p
o
r
ati
n
g
ar
tific
ial
in
tellig
en
ce
in
to
a
f
u
zz
y
e
v
alu
atio
n
m
o
d
el
f
o
r
p
h
y
s
ical
ed
u
c
ati
o
n
teac
h
in
g
[
1
7
]
,
wh
ile
a
m
u
lti
-
attr
ib
u
te
f
u
zz
y
d
ec
is
io
n
-
m
ak
in
g
f
r
am
ewo
r
k
f
o
r
ass
es
s
in
g
th
e
im
p
ac
t
o
f
ar
tific
ial
in
tellig
en
ce
o
n
ed
u
ca
tio
n
was
in
tr
o
d
u
ce
d
[
1
8
]
.
Similar
ly
,
a
f
u
zz
y
in
tellig
en
t
s
y
s
tem
to
ev
alu
ate
s
o
f
twar
e
p
r
o
ject
p
er
f
o
r
m
an
ce
was
d
esig
n
ed
[
1
9
]
,
an
d
th
e
ad
ap
tab
ilit
y
o
f
f
u
zz
y
m
eth
o
d
s
f
o
r
g
en
er
al
s
tu
d
en
t
ass
ess
m
e
n
t
was
co
n
f
ir
m
ed
[
2
0
]
.
C
o
llectiv
ely
,
th
ese
s
tu
d
ies
d
em
o
n
s
tr
ate
th
at
f
u
zz
y
-
b
ased
ev
alu
atio
n
o
f
f
er
s
b
o
th
p
r
ed
ic
tiv
e
ac
cu
r
ac
y
a
n
d
tr
a
n
s
p
ar
en
c
y
,
esp
ec
ially
wh
en
co
m
p
ar
ed
to
p
u
r
ely
s
tatis
tical
m
eth
o
d
s
.
Ag
ain
s
t
th
is
b
ac
k
g
r
o
u
n
d
,
th
e
p
r
esen
t
s
tu
d
y
in
tr
o
d
u
ce
s
a
Ma
m
d
an
i
-
ty
p
e
FIS
s
p
ec
if
ically
tailo
r
ed
f
o
r
b
io
m
ed
ical
ed
u
ca
tio
n
.
I
ts
n
o
v
elty
lies
in
th
r
ee
asp
ec
ts
:
i)
th
e
d
o
m
ain
-
s
p
ec
if
ic
ad
ap
tatio
n
o
f
f
u
zz
y
lo
g
ic
to
f
o
u
r
b
io
m
ed
ical
s
u
b
jects
—
b
io
m
ec
h
an
ics,
an
ato
m
y
,
p
h
y
s
io
lo
g
y
,
an
d
k
in
esio
lo
g
y
; ii)
th
e
d
ev
elo
p
m
en
t o
f
a
co
m
p
ac
t
an
d
in
ter
p
r
etab
le
r
u
le
b
ase
o
f
ten
I
F
–
T
HE
N
r
u
les,
em
p
lo
y
in
g
tr
ian
g
u
lar
m
e
m
b
er
s
h
ip
f
u
n
c
tio
n
s
th
at
p
en
alize
m
ar
k
s
u
n
d
er
5
an
d
r
ewa
r
d
th
o
s
e
ab
o
v
e
5
; a
n
d
iii)
a
co
m
p
ar
a
tiv
e
ev
alu
atio
n
o
f
f
u
zz
y
lo
g
ic
ag
ain
s
t th
e
class
ical
av
er
ag
in
g
m
eth
o
d
u
s
in
g
r
ea
l
s
tu
d
en
t
d
ata.
B
y
s
itu
atin
g
f
u
z
zy
ev
alu
atio
n
with
in
th
e
b
io
m
ed
ical
d
o
m
ai
n
,
th
is
s
tu
d
y
ad
d
r
ess
es
th
e
g
r
o
win
g
d
em
an
d
f
o
r
f
air
,
ad
ap
tab
le,
a
n
d
ex
p
lain
ab
le
ass
ess
m
en
t
f
r
am
ewo
r
k
s
in
h
ig
h
er
ed
u
ca
tio
n
[
1
]
,
[
2
1
]
,
[
2
2
]
.
2.
M
E
T
H
O
D
2
.
1
.
F
uzzy
lo
g
ic
Fu
zz
y
lo
g
ic
p
r
o
v
i
d
es
a
m
ath
e
m
atica
l
p
ar
ad
ig
m
f
o
r
m
o
d
elli
n
g
u
n
ce
r
tain
ty
a
n
d
g
r
ad
atio
n
s
o
f
tr
u
t
h
in
d
ec
is
io
n
-
m
ak
in
g
p
r
o
ce
s
s
es.
Fu
zz
y
s
et
th
eo
r
y
was
f
ir
s
t
in
tr
o
d
u
ce
d
in
1
9
6
5
a
n
d
d
i
v
er
g
e
s
f
r
o
m
class
ical
s
et
th
eo
r
y
b
y
p
er
m
itti
n
g
p
ar
tial
m
em
b
er
s
h
ip
in
th
e
in
te
r
v
al
[
0
,
1
]
,
d
ef
in
ed
b
y
th
e
m
em
b
e
r
s
h
ip
f
u
n
ctio
n
ℎ
(
)
,
r
ath
er
th
an
r
estrictin
g
class
if
icatio
n
to
b
i
n
ar
y
ex
tr
em
es
o
f
0
o
r
1
[
4
]
,
[
2
3
]
.
T
h
is
p
ap
er
em
p
lo
y
s
tr
ap
e
zo
id
al
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
,
wh
ich
ar
e
d
elin
ea
te
d
b
y
th
e
ex
p
r
ess
io
n
(
1
)
[
2
4
]
,
[
2
5
]
.
ℎ
(
)
=
{
0
,
≤
1
−
1
2
−
1
,
1
≤
≤
2
1
,
2
≤
≤
3
4
−
4
−
3
,
3
≤
≤
4
0
,
4
≤
(
1
)
T
h
is
s
tu
d
y
u
s
es
th
e
ce
n
tr
o
id
m
eth
o
d
f
o
r
th
e
d
e
f
u
zz
if
icatio
n
p
r
o
ce
s
s
.
W
e
co
m
p
u
te
th
e
c
en
tr
o
id
o
f
g
r
av
ity
u
s
in
g
(
2
)
.
∗
=
∫
ℎ
(
)
∙
∫
ℎ
(
)
(
2
)
W
h
er
e
∗
is
th
e
ce
n
tr
e
o
f
g
r
av
ity
o
r
a
n
u
m
er
ical
v
alu
e
o
f
th
e
o
u
tp
u
t
o
f
t
h
e
s
y
s
tem
,
an
d
is
d
e
n
o
ted
b
y
p
o
i
n
t
k
'
s
m
em
b
er
s
h
ip
v
alu
e
in
th
e
f
u
zz
y
o
u
tp
u
t set
[
2
5
]
–
[
2
7
]
.
T
h
is
f
lex
ib
ilit
y
m
ak
es
f
u
zz
y
lo
g
ic
p
ar
ticu
lar
ly
u
s
ef
u
l
in
d
o
m
ain
s
ch
ar
ac
ter
ized
b
y
am
b
ig
u
ity
an
d
h
eter
o
g
en
e
o
u
s
in
p
u
ts
,
in
clu
d
in
g
ed
u
ca
tio
n
,
m
ed
icin
e,
an
d
ar
tific
ial
in
tellig
en
ce
[
5
]
,
[
6
]
.
I
n
ed
u
ca
tio
n
al
ass
es
s
m
en
t,
f
u
zz
y
ex
p
er
t
s
y
s
tem
s
r
ep
licate
h
u
m
an
r
ea
s
o
n
i
n
g
b
y
en
co
d
in
g
lin
g
u
is
tic
v
ar
iab
les
(
e.
g
.
,
“lo
w,
”
“m
ed
iu
m
,
”
an
d
“
h
i
g
h
”)
in
to
co
m
p
u
tatio
n
al
r
u
les.
Su
ch
s
y
s
tem
s
en
ab
le
n
u
an
ce
d
ev
a
lu
atio
n
s
o
f
s
tu
d
en
t
p
er
f
o
r
m
an
ce
th
at
ac
c
o
u
n
t
f
o
r
u
n
ce
r
tain
ty
,
b
o
r
d
er
lin
e
ca
s
es,
an
d
m
u
ltip
le
d
im
en
s
io
n
s
o
f
ac
h
iev
em
en
t
[
7
]
,
[
1
4
]
.
2
.
2
.
M
o
del
d
esig
n
T
o
ev
alu
ate
b
i
o
m
ed
ical
s
tu
d
e
n
ts
’
ac
ad
em
ic
p
er
f
o
r
m
a
n
ce
,
a
Ma
m
d
an
i
-
ty
p
e
FIS
was
co
n
s
tr
u
cted
.
T
h
e
m
o
d
el
was
s
elec
ted
b
ec
au
s
e
o
f
its
in
ter
p
r
etab
ilit
y
an
d
wid
esp
r
ea
d
u
s
e
in
d
ec
is
io
n
-
s
u
p
p
o
r
t
s
y
s
tem
s
in
ed
u
ca
tio
n
al
co
n
tex
ts
[
1
2
]
,
[
1
7
]
.
T
h
e
s
y
s
tem
d
esig
n
is
s
u
m
m
a
r
ized
as f
o
llo
ws:
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Ad
v
Ap
p
l Sci
I
SS
N:
2252
-
8
8
1
4
A
p
p
lica
tio
n
o
f fu
z
z
y
lo
g
ic
fo
r
th
e
ev
a
lu
a
tio
n
o
f stu
d
e
n
t a
ca
d
e
mic
p
erfo
r
ma
n
ce
in
…
(
E
ld
a
Ma
r
a
j
)
237
−
I
n
p
u
t
v
a
r
iab
les:
f
o
u
r
s
u
b
jects
ce
n
tr
al
to
b
io
m
ed
ical
e
d
u
ca
t
io
n
wer
e
ch
o
s
en
as
in
p
u
ts
—
b
io
m
ec
h
an
ics,
an
ato
m
y
,
p
h
y
s
io
lo
g
y
,
an
d
k
i
n
esio
lo
g
y
.
T
h
ese
r
ef
lect
b
o
th
th
eo
r
etica
l
an
d
ap
p
lied
asp
e
cts
o
f
s
tu
d
en
t
co
m
p
eten
ce
.
−
Me
m
b
er
s
h
ip
f
u
n
ctio
n
s
:
ea
ch
i
n
p
u
t
v
a
r
iab
le
was
r
ep
r
esen
ted
b
y
tr
ap
ez
o
id
al
m
em
b
e
r
s
h
ip
f
u
n
ctio
n
s
lab
ele
d
u
n
s
atis
f
ac
to
r
ily
,
s
atis
f
ac
to
r
ily
,
g
o
o
d
,
a
n
d
ex
ce
llen
t
.
T
h
e
tr
ap
ez
o
id
al
d
esig
n
was
p
r
e
f
er
r
ed
f
o
r
its
co
m
p
u
tatio
n
al
s
im
p
licity
an
d
in
ter
p
r
etab
ilit
y
i
n
ac
ad
em
ic
s
ettin
g
s
[
2
1
]
.
I
m
p
o
r
tan
tly
,
th
e
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
wer
e
ca
lib
r
ate
d
to
p
en
alize
s
co
r
es
u
n
d
e
r
5
an
d
r
ewa
r
d
th
o
s
e
ab
o
v
e
5
,
th
e
r
eb
y
alig
n
in
g
wit
h
in
s
titu
tio
n
al
g
r
ad
in
g
s
tan
d
ar
d
s
.
−
R
u
le
b
ase:
th
e
FI
S
em
p
lo
y
ed
a
co
m
p
ac
t
an
d
in
ter
p
r
etab
le
r
u
le
b
ase
o
f
ten
I
F
–
T
HE
N
r
u
les.
Fo
r
ex
am
p
le,
o
n
e
r
ep
r
esen
tativ
e
r
u
le
s
tates:
I
F
b
io
m
ec
h
an
ics,
a
n
ato
m
y
,
p
h
y
s
io
lo
g
y
,
a
n
d
k
i
n
esio
lo
g
y
a
r
e
g
o
o
d
,
T
HE
N
p
er
f
o
r
m
an
ce
is
g
o
o
d
.
T
h
is
r
u
l
e
-
b
ased
s
tr
u
ctu
r
e
allo
ws
ev
alu
ato
r
s
to
tr
a
n
s
p
ar
en
tly
tr
ac
e
h
o
w
in
p
u
t
g
r
ad
e
s
in
f
lu
en
ce
o
v
er
all
p
er
f
o
r
m
an
ce
[
8
]
,
[
1
9
]
.
−
Def
u
zz
if
icatio
n
:
to
c
o
n
v
er
t
f
u
z
zy
o
u
tp
u
ts
in
to
cr
is
p
v
alu
es,
t
h
e
ce
n
tr
o
id
m
et
h
o
d
was
ap
p
lied
.
T
h
e
ce
n
tr
o
id
ap
p
r
o
ac
h
was
s
elec
ted
b
ec
au
s
e
it
b
alan
ce
s
s
en
s
itiv
ity
with
s
tab
ilit
y
,
p
r
o
d
u
cin
g
p
e
r
f
o
r
m
an
ce
s
co
r
es
th
at
ar
e
r
o
b
u
s
t to
s
m
all
v
ar
iatio
n
s
i
n
in
p
u
t
wh
ile
p
r
eser
v
in
g
in
ter
p
r
etiv
e
d
ep
t
h
[
1
7
]
.
Fig
u
r
e
1
an
d
Fig
u
r
e
2
(
s
ee
Ap
p
en
d
ix
)
illu
s
tr
ate
th
e
o
v
er
all
s
tr
u
ctu
r
e
o
f
th
e
FIS,
an
d
th
e
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
o
f
t
h
e
in
p
u
t
v
ar
ia
b
les
f
r
o
m
b
io
m
ec
h
an
ics
(
Fi
g
u
r
e
2
(
a)
)
,
a
n
ato
m
y
(
Fig
u
r
e
2
(
b
)
)
,
p
h
y
s
io
lo
g
y
(
Fig
u
r
e
2
(
c)
)
,
an
d
k
in
esio
lo
g
y
(
Fig
u
r
e
2
(
d
)
)
.
Fig
u
r
e
3
s
h
o
ws
th
e
r
u
le
v
iewe
r
.
Ad
d
itio
n
ally
,
s
u
r
f
ac
e
v
iewe
r
p
lo
ts
(
Fig
u
r
e
4
)
p
r
o
v
id
e
a
v
is
u
al
r
e
p
r
esen
tatio
n
o
f
t
h
e
r
elatio
n
s
h
i
p
s
b
etwe
en
p
air
ed
i
n
p
u
ts
an
d
th
e
o
u
tp
u
t
v
ar
iab
le
,
th
er
eb
y
im
p
r
o
v
in
g
th
e
in
ter
p
r
e
tab
ilit
y
o
f
th
e
m
o
d
el
f
o
r
ed
u
ca
to
r
s
; Fig
u
r
e
4
(
a)
s
h
o
ws th
e
m
em
b
er
s
h
ip
f
u
n
ctio
n
o
f
th
e
o
u
tp
u
t
v
ar
ia
b
le
“
s
tu
d
e
n
t
p
er
f
o
r
m
an
ce
”
,
Fig
u
r
e
4
(
b
)
s
h
o
ws
th
e
p
er
f
o
r
m
a
n
ce
v
s
.
b
io
m
ec
h
an
ical
a
n
d
an
ato
m
y
,
a
n
d
Fig
u
r
e
4
(
c
)
s
h
o
ws th
e
p
er
f
o
r
m
a
n
ce
v
s
.
b
io
m
e
ch
an
ical
an
d
k
in
esio
lo
g
y
.
Fig
u
r
e
1
.
Ma
m
d
an
i FI
S m
o
d
el
Fig
u
r
e
3
.
R
u
le
v
iewe
r
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
2
5
2
-
8
8
1
4
I
n
t J Ad
v
Ap
p
l Sci
,
Vo
l.
1
5
,
No
.
1
,
Ma
r
c
h
2
0
2
6
:
23
5
-
24
3
238
(
a)
(
b
)
(
c)
Fig
u
r
e
4
.
Vis
u
al
r
ep
r
esen
tatio
n
o
f
th
e
r
elatio
n
s
h
ip
s
b
etwe
en
p
air
ed
in
p
u
ts
an
d
th
e
o
u
tp
u
t v
ar
iab
le
o
f
(
a)
m
em
b
e
r
s
h
ip
f
u
n
ctio
n
o
f
th
e
o
u
tp
u
t
v
ar
iab
le
“
s
tu
d
e
n
t p
er
f
o
r
m
an
ce
”,
(
b
)
p
er
f
o
r
m
an
ce
v
s
.
b
io
m
ec
h
a
n
ical
an
d
an
ato
m
y
,
a
n
d
(
c
)
p
er
f
o
r
m
an
ce
v
s
.
b
io
m
ec
h
an
ical
an
d
k
i
n
esio
lo
g
y
3.
RE
SU
L
T
S
T
h
e
p
r
o
p
o
s
ed
Ma
m
d
an
i FI
S w
as im
p
lem
en
ted
u
s
in
g
d
ata
f
r
o
m
5
0
u
n
d
e
r
g
r
ad
u
ate
s
tu
d
en
ts
e
n
r
o
lle
d
in
b
io
m
ed
ical
c
o
u
r
s
es
at
th
e
Facu
lty
o
f
R
eh
ab
ilit
atio
n
Scien
ce
s
,
Sp
o
r
ts
Un
iv
er
s
ity
o
f
T
i
r
an
a.
E
ac
h
s
tu
d
en
t’
s
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J Ad
v
Ap
p
l Sci
I
SS
N:
2252
-
8
8
1
4
A
p
p
lica
tio
n
o
f fu
z
z
y
lo
g
ic
fo
r
th
e
ev
a
lu
a
tio
n
o
f stu
d
e
n
t a
ca
d
e
mic
p
erfo
r
ma
n
ce
in
…
(
E
ld
a
Ma
r
a
j
)
239
p
er
f
o
r
m
an
ce
was
ev
alu
ated
b
a
s
ed
o
n
f
o
u
r
s
u
b
ject
ar
ea
s
:
b
io
m
ec
h
an
ics,
an
ato
m
y
,
p
h
y
s
io
lo
g
y
,
an
d
k
in
esio
lo
g
y
.
R
esu
lts
f
r
o
m
th
e
f
u
zz
y
lo
g
ic
m
o
d
el
wer
e
th
e
n
c
o
m
p
ar
e
d
w
ith
th
o
s
e
o
b
tain
ed
u
s
in
g
th
e
t
r
ad
itio
n
al
class
ical
av
er
ag
in
g
m
eth
o
d
.
3
.
1
.
Co
m
pa
ra
t
iv
e
an
a
ly
s
is
T
h
e
class
ical
ap
p
r
o
ac
h
ca
lcu
la
ted
a
s
im
p
le
ar
ith
m
etic
m
ea
n
o
f
th
e
f
o
u
r
s
u
b
ject
g
r
ad
es,
ass
ig
n
in
g
eq
u
al
weig
h
t
to
ea
ch
d
is
cip
lin
e.
I
n
co
n
tr
ast,
th
e
f
u
zz
y
lo
g
ic
ap
p
r
o
ac
h
in
co
r
p
o
r
ated
r
u
le
-
b
as
ed
ag
g
r
eg
atio
n
th
at
allo
wed
n
o
n
lin
ea
r
i
n
ter
ac
tio
n
s
am
o
n
g
in
p
u
ts
an
d
r
ef
lecte
d
th
r
esh
o
ld
s
en
s
itiv
ity
in
s
tu
d
en
t
p
er
f
o
r
m
a
n
ce
ev
alu
atio
n
.
Ke
y
d
is
tin
ctio
n
s
e
m
er
g
ed
i
n
b
o
r
d
e
r
lin
e
ca
s
es,
wh
er
e
s
tu
d
en
t
s
co
r
e
s
clu
s
ter
ed
n
ea
r
th
e
p
ass
–
f
ail
b
o
u
n
d
ar
y
(
5
-
6
r
an
g
e)
.
Fo
r
ex
am
p
le,
s
tu
d
en
t
3
1
ac
h
ie
v
ed
an
av
er
ag
e
s
co
r
e
o
f
5
.
2
5
u
n
d
er
th
e
class
ical
m
eth
o
d
,
wh
ile
th
e
f
u
zz
y
m
o
d
el
p
r
o
d
u
ce
d
5
.
6
1
,
r
ec
o
g
n
izin
g
th
at
co
n
s
is
ten
t
m
in
im
u
m
-
lev
el
p
er
f
o
r
m
a
n
ce
s
h
o
u
l
d
n
o
t
b
e
p
en
alize
d
e
x
ce
s
s
iv
ely
.
C
o
n
v
er
s
ely
,
s
tu
d
en
t
5
0
,
with
a
u
n
if
o
r
m
s
co
r
e
o
f
7
,
r
ec
eiv
ed
a
class
ical
m
ea
n
o
f
7
.
0
0
b
u
t
a
f
u
zz
y
o
u
tco
m
e
o
f
6
.
4
2
.
T
h
is
d
o
wn
w
ar
d
a
d
ju
s
tm
en
t
illu
s
tr
ates
th
e
s
y
s
tem
’
s
ca
lib
r
atio
n
to
b
ala
n
c
e
n
u
a
n
ce
s
,
en
s
u
r
in
g
th
at
s
tu
d
en
ts
with
n
o
n
-
ex
ce
p
ti
o
n
al
y
et
u
n
if
o
r
m
s
co
r
es
d
o
n
o
t
r
ec
eiv
e
d
is
p
r
o
p
o
r
tio
n
ately
f
av
o
r
ab
le
r
esu
lts
.
Su
ch
d
if
f
er
en
tiatio
n
h
as
also
b
ee
n
o
b
s
er
v
e
d
in
p
r
io
r
s
tu
d
ies,
wh
er
e
f
u
zz
y
s
y
s
tem
s
em
p
h
a
s
ized
p
er
f
o
r
m
an
ce
d
is
tr
ib
u
tio
n
r
ath
e
r
th
an
r
ely
in
g
s
o
lely
o
n
r
aw
a
v
er
ag
es
[
8
]
,
[
9
]
.
3
.
2
.
Va
lid
a
t
i
o
n m
et
rics
Valid
atio
n
m
etr
ics
wer
e
em
p
lo
y
ed
to
e
n
s
u
r
e
r
eliab
ilit
y
,
an
d
f
u
zz
y
lo
g
ic
o
u
tc
o
m
es
wer
e
s
u
b
jecte
d
to
co
m
p
ar
ativ
e
s
tatis
tical
v
alid
atio
n
:
–
Pear
s
o
n
co
r
r
elatio
n
co
e
f
f
icien
t:
a
s
tr
o
n
g
p
o
s
itiv
e
co
r
r
elatio
n
was
o
b
s
er
v
e
d
b
etwe
en
f
u
zz
y
r
esu
lts
an
d
class
ical
av
er
ag
es
(
r
=0
.
9
1
)
,
c
o
n
f
ir
m
in
g
s
u
b
s
tan
tial
alig
n
m
e
n
t
wh
ile
ca
p
tu
r
in
g
m
ea
n
in
g
f
u
l
d
if
f
er
e
n
ce
s
.
Similar
h
ig
h
co
r
r
elatio
n
s
wer
e
r
ep
o
r
ted
in
r
ec
en
t
a
p
p
licatio
n
s
o
f
f
u
zz
y
g
r
ad
i
n
g
s
y
s
tem
s
,
s
u
g
g
esti
n
g
r
o
b
u
s
tn
ess
ac
r
o
s
s
ed
u
ca
tio
n
a
l
d
o
m
ain
s
[
1
7
]
,
[
1
9
]
.
–
Me
an
ab
s
o
lu
te
e
r
r
o
r
(
MA
E
)
:
a
cr
o
s
s
all
5
0
ca
s
e
s
,
th
e
MA
E
w
as
0
.
3
4
,
in
d
icatin
g
o
n
l
y
m
o
d
e
s
t
d
iv
er
g
en
ce
b
etwe
en
th
e
two
m
eth
o
d
s
.
–
R
o
o
t
m
ea
n
s
q
u
ar
e
er
r
o
r
(
R
M
SE)
:
an
R
MSE
o
f
0
.
4
2
was
c
alcu
lated
,
r
ef
lectin
g
lo
w
o
v
er
all
d
is
cr
ep
an
cy
b
u
t
s
u
p
p
o
r
tin
g
th
e
v
alu
e
o
f
f
u
zz
y
lo
g
ic
as
a
co
m
p
lem
en
tar
y
to
o
l
r
ath
er
th
a
n
a
d
u
p
licate
o
f
class
ical
a
s
s
es
s
m
en
t.
T
h
ese
f
in
d
in
g
s
v
ali
d
ate
th
at
t
h
e
f
u
zz
y
s
y
s
tem
d
eliv
er
s
g
r
ea
ter
f
lex
ib
ilit
y
an
d
in
ter
p
r
eta
b
ilit
y
wh
ile
r
em
ain
in
g
an
ch
o
r
ed
to
tr
ad
iti
o
n
al
s
co
r
in
g
.
B
y
in
co
r
p
o
r
atin
g
th
r
esh
o
ld
e
f
f
ec
ts
an
d
r
u
le
-
b
ased
r
ea
s
o
n
in
g
,
th
e
f
u
zz
y
m
o
d
el
p
r
o
v
id
es
a
r
ich
e
r
r
ep
r
esen
tatio
n
o
f
s
tu
d
en
t
p
e
r
f
o
r
m
a
n
ce
,
co
n
s
is
ten
t
with
b
r
o
ad
er
ev
id
e
n
ce
in
ed
u
ca
tio
n
al
d
ata
m
in
in
g
a
n
d
i
n
tellig
en
t a
s
s
ess
m
en
t f
r
am
ewo
r
k
s
[
7
]
,
[
1
8
]
.
4.
DIS
CU
SS
I
O
N
T
h
e
r
esu
lts
o
f
th
is
s
tu
d
y
in
d
i
ca
te
th
at
f
u
zz
y
lo
g
ic
e
n
h
an
ce
s
th
e
s
en
s
itiv
ity
an
d
f
air
n
ess
o
f
s
tu
d
en
t
p
er
f
o
r
m
an
ce
ev
al
u
atio
n
b
y
in
t
r
o
d
u
cin
g
n
o
n
lin
ea
r
an
d
in
ter
p
r
etab
le
ad
ju
s
tm
en
ts
to
r
aw
s
co
r
es.
T
h
e
tr
ian
g
u
lar
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
wer
e
d
elib
er
ately
ca
lib
r
at
ed
t
o
p
e
n
alize
s
u
b
-
th
r
esh
o
l
d
o
u
tco
m
es
(
s
c
o
r
es
u
n
d
e
r
5
)
wh
ile
r
ewa
r
d
in
g
s
u
p
r
a
-
th
r
esh
o
ld
p
er
f
o
r
m
an
ce
(
s
co
r
es
ab
o
v
e
5
)
.
T
h
is
d
esig
n
ex
p
licitly
o
p
er
atio
n
alize
s
in
s
titu
tio
n
al
g
r
ad
in
g
p
o
licies
an
d
e
n
s
u
r
es
th
at
b
o
r
d
e
r
lin
e
ca
s
es
ar
e
h
an
d
led
with
n
u
an
ce
.
T
h
e
co
m
p
ac
t
1
0
-
r
u
le
b
ase
ac
h
iev
e
d
a
b
alan
ce
b
etwe
en
p
a
r
s
im
o
n
y
an
d
in
ter
p
r
etab
ilit
y
,
wh
ich
alig
n
s
with
b
est
p
r
ac
tices
o
b
s
er
v
ed
in
r
ec
e
n
t
f
u
zz
y
-
b
ased
ac
ad
em
ic
ev
alu
atio
n
m
o
d
els
[
1
7
]
,
[
2
1
]
.
I
n
th
e
co
n
tex
t
o
f
b
io
m
e
d
ical
ed
u
ca
tio
n
,
wh
e
r
e
co
m
p
ete
n
cy
d
ev
el
o
p
m
e
n
t
in
teg
r
ates
th
eo
r
etica
l
u
n
d
er
s
tan
d
i
n
g
with
p
r
ac
tical
ap
p
licatio
n
,
f
u
zz
y
ev
alu
ati
o
n
p
r
o
v
id
e
s
a
m
o
r
e
ac
cu
r
ate
r
ef
lectio
n
o
f
th
e
m
u
ltid
im
en
s
io
n
al
lear
n
in
g
p
r
o
ce
s
s
.
C
las
s
ical
av
er
ag
es,
b
y
c
o
n
tr
ast,
o
b
s
cu
r
e
h
ete
r
o
g
e
n
eity
ac
r
o
s
s
d
is
cip
lin
es.
T
h
e
o
u
tco
m
es
p
r
esen
ted
h
er
e
ar
e
co
n
s
is
ten
t
with
p
r
io
r
f
in
d
in
g
s
in
b
o
th
h
ig
h
er
e
d
u
ca
tio
n
m
o
n
ito
r
in
g
[
1
2
]
an
d
p
h
y
s
ical
ed
u
ca
tio
n
teac
h
in
g
ass
e
s
s
m
en
t
[
1
6
]
,
[
1
7
]
,
co
n
f
ir
m
in
g
th
at
FIS
r
ep
r
esen
t
s
a
f
lex
ib
le
an
d
co
n
tex
t
-
s
en
s
itiv
e
ass
ess
m
en
t f
r
am
ewo
r
k
.
An
o
th
er
s
ig
n
if
ican
t
c
o
n
tr
ib
u
ti
o
n
o
f
th
is
a
p
p
r
o
ac
h
lies
in
its
in
ter
p
r
etab
ilit
y
,
w
h
ich
d
ir
ec
tly
ad
d
r
ess
es
g
r
o
win
g
c
o
n
ce
r
n
s
ar
o
u
n
d
ex
p
lain
ab
ilit
y
in
ar
tific
ial
in
tellig
en
ce
ap
p
licatio
n
s
to
ed
u
c
atio
n
[
2
0
]
.
Un
lik
e
b
lack
-
b
o
x
m
o
d
els,
th
e
tr
an
s
p
a
r
en
t
s
tr
u
ctu
r
e
o
f
th
e
r
u
le
b
ase
allo
ws
in
s
tr
u
cto
r
s
an
d
s
tak
eh
o
ld
er
s
to
tr
ac
e
h
o
w
in
p
u
ts
tr
an
s
late
in
to
p
er
f
o
r
m
a
n
ce
s
co
r
es.
T
h
is
in
ter
p
r
etab
ilit
y
h
as
b
ee
n
h
ig
h
lig
h
ted
as
ess
en
tial
f
o
r
tr
u
s
t
in
ed
u
ca
tio
n
al
d
ata
m
in
in
g
a
n
d
i
n
tellig
en
t tu
to
r
in
g
s
y
s
tem
s
[
1
8
]
.
W
h
en
co
m
p
ar
e
d
to
h
y
b
r
id
A
I
s
y
s
tem
s
s
u
ch
as
n
eu
r
o
-
f
u
zz
y
m
o
d
els,
wh
ic
h
m
ay
ac
h
iev
e
s
tr
o
n
g
er
p
r
ed
ictiv
e
ac
cu
r
ac
y
[
1
8
]
,
[
1
9
]
,
th
e
p
r
esen
t
s
tu
d
y
em
p
h
asizes
u
s
ab
ilit
y
an
d
tr
an
s
p
ar
en
c
y
f
o
r
in
s
tr
u
cto
r
s
.
W
h
ile
p
r
ed
ictiv
e
o
p
ti
m
izatio
n
is
v
alu
ab
le,
it
o
f
ten
co
m
es
at
th
e
ex
p
en
s
e
o
f
co
m
p
r
eh
e
n
s
ib
ilit
y
.
T
h
e
p
r
o
p
o
s
ed
Ma
m
d
an
i
FIS
th
er
ef
o
r
e
r
e
p
r
esen
ts
a
p
e
d
ag
o
g
ically
alig
n
ed
c
o
m
p
r
o
m
is
e:
it
im
p
r
o
v
es
f
air
n
ess
an
d
ad
ap
tab
ilit
y
with
o
u
t
o
v
er
wh
elm
in
g
ed
u
ca
to
r
s
with
tech
n
ical
co
m
p
lex
ity
.
Fu
t
u
r
e
wo
r
k
s
h
o
u
ld
i
n
v
esti
g
ate
th
e
i
n
teg
r
atio
n
o
f
h
y
b
r
id
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
2
5
2
-
8
8
1
4
I
n
t J Ad
v
Ap
p
l Sci
,
Vo
l.
1
5
,
No
.
1
,
Ma
r
c
h
2
0
2
6
:
23
5
-
24
3
240
n
eu
r
o
-
f
u
zz
y
ap
p
r
o
ac
h
es,
p
r
o
v
i
d
ed
th
at
in
ter
p
r
etab
ilit
y
is
p
r
e
s
er
v
ed
,
th
er
e
b
y
co
m
b
in
in
g
p
r
e
d
ictiv
e
p
o
wer
wit
h
tr
an
s
p
ar
en
t
d
ec
is
io
n
-
m
a
k
in
g
.
Ov
er
all,
th
ese
f
in
d
in
g
s
co
n
tr
ib
u
te
to
th
e
o
n
g
o
in
g
s
h
if
t
to
war
d
in
tellig
en
t
,
ex
p
lain
ab
le
ass
ess
m
en
t
m
o
d
el
s
in
h
i
g
h
er
ed
u
ca
tio
n
.
T
h
ey
u
n
d
er
s
co
r
e
th
e
v
alu
e
o
f
f
u
zz
y
lo
g
ic
in
b
io
m
ed
ical
d
is
cip
lin
es,
wh
er
e
n
u
an
ce
d
ju
d
g
m
en
ts
an
d
m
u
ltid
im
en
s
io
n
a
l p
er
f
o
r
m
an
ce
in
d
icato
r
s
ar
e
in
d
is
p
en
s
ab
le.
I
n
th
e
d
is
cu
s
s
io
n
o
f
th
is
s
tu
d
y
,
it
is
im
p
o
r
tan
t
to
ac
k
n
o
wled
g
e
s
ev
er
al
lim
itatio
n
s
wh
ile
also
h
ig
h
lig
h
tin
g
f
u
tu
r
e
o
p
p
o
r
t
u
n
it
ies
an
d
th
e
b
r
o
ad
er
im
p
ac
t
o
f
th
e
f
in
d
in
g
s
.
T
h
e
r
esear
ch
w
as
co
n
d
u
cted
o
n
a
r
elativ
ely
s
m
all
g
r
o
u
p
o
f
s
tu
d
en
ts
f
r
o
m
a
s
in
g
le
in
s
titu
tio
n
,
wh
ich
r
estricts
th
e
ex
ten
t
to
w
h
ich
th
e
r
esu
lts
ca
n
b
e
g
e
n
er
alize
d
t
o
o
th
er
co
n
tex
ts
o
r
d
is
cip
lin
es b
ey
o
n
d
b
io
m
e
d
ical
ed
u
ca
tio
n
.
A
d
d
itio
n
ally
,
alth
o
u
g
h
th
e
f
u
zz
y
lo
g
ic
-
b
ased
g
r
ad
in
g
ap
p
r
o
ac
h
p
r
o
v
id
es
f
lex
ib
ilit
y
an
d
f
ai
r
n
e
s
s
,
p
ar
ticu
lar
ly
f
o
r
b
o
r
d
e
r
lin
e
ca
s
es,
its
o
u
tco
m
es
m
ay
in
itially
ap
p
ea
r
less
in
tu
itiv
e
to
s
tu
d
en
ts
wh
o
ar
e
ac
cu
s
to
m
ed
to
co
n
v
en
tio
n
al
g
r
ad
i
n
g
s
y
s
tem
s
,
s
u
g
g
esti
n
g
a
n
ee
d
f
o
r
clea
r
er
ex
p
lan
at
o
r
y
to
o
ls
an
d
v
is
u
al
s
u
p
p
o
r
t.
L
o
o
k
in
g
ah
ea
d
,
f
u
tu
r
e
wo
r
k
s
h
o
u
ld
f
o
cu
s
o
n
a
p
p
ly
in
g
th
e
p
r
o
p
o
s
ed
m
o
d
el
t
o
lar
g
e
r
an
d
m
o
r
e
d
iv
e
r
s
e
s
tu
d
en
t p
o
p
u
latio
n
s
ac
r
o
s
s
m
u
ltip
le
in
s
titu
tio
n
s
an
d
ac
ad
em
ic
f
ield
s
to
s
tr
en
g
th
en
its
v
alid
i
ty
an
d
ad
ap
tab
ilit
y
.
T
h
e
in
teg
r
atio
n
o
f
f
u
zz
y
lo
g
ic
with
m
ac
h
in
e
lear
n
in
g
tech
n
i
q
u
es
an
d
lo
n
g
itu
d
in
al
s
tu
d
en
t
d
ata
also
p
r
esen
ts
p
r
o
m
is
in
g
d
ir
ec
tio
n
s
f
o
r
im
p
r
o
v
in
g
p
r
e
d
ictiv
e
ca
p
ab
ilit
y
w
h
ile
m
ain
tain
in
g
tr
a
n
s
p
ar
en
cy
an
d
in
te
r
p
r
etab
ilit
y
.
Desp
ite
th
ese
lim
itatio
n
s
,
th
e
s
tu
d
y
m
a
k
es
a
m
ea
n
i
n
g
f
u
l
co
n
tr
ib
u
tio
n
to
ed
u
ca
tio
n
a
l
d
ata
m
in
in
g
b
y
d
em
o
n
s
tr
atin
g
th
at
f
u
zz
y
lo
g
ic
ca
n
s
u
p
p
o
r
t f
air
er
,
m
o
r
e
n
u
a
n
ce
d
ass
es
s
m
en
t p
r
ac
tices
.
I
n
p
ar
ticu
lar
,
it o
f
f
er
s
a
v
alu
ab
le
f
r
a
m
ewo
r
k
f
o
r
b
io
m
e
d
ical
ed
u
ca
tio
n
,
wh
er
e
s
tu
d
en
t
p
er
f
o
r
m
an
ce
is
in
h
e
r
en
tly
m
u
ltid
im
en
s
io
n
al,
an
d
it
lay
s
th
e
g
r
o
u
n
d
wo
r
k
f
o
r
s
ca
lab
le,
in
tellig
en
t a
s
s
ess
m
en
t a
n
d
d
ec
is
io
n
-
s
u
p
p
o
r
t sy
s
tem
s
in
h
ig
h
er
e
d
u
ca
tio
n
.
5.
CO
NCLU
SI
O
N
I
n
co
n
clu
s
io
n
,
th
is
s
tu
d
y
s
h
o
ws
th
at
th
e
Ma
m
d
an
i
FIS
o
f
f
er
s
a
m
o
r
e
f
lex
ib
le
an
d
m
ea
n
in
g
f
u
l
alter
n
ativ
e
to
tr
ad
itio
n
al
g
r
a
d
in
g
m
eth
o
d
s
f
o
r
ev
alu
atin
g
b
io
m
ed
ical
s
tu
d
en
ts
.
B
y
u
s
in
g
s
im
p
le
tr
ian
g
u
lar
m
em
b
er
s
h
ip
f
u
n
ctio
n
s
an
d
cle
ar
ly
d
ef
in
ed
r
u
les,
th
e
p
r
o
p
o
s
e
d
m
o
d
el
allo
ws
s
tu
d
en
t
p
er
f
o
r
m
an
ce
to
b
e
ass
ess
ed
in
a
way
th
at
b
etter
r
ef
lects
r
e
al
ac
ad
em
ic
ju
d
g
m
en
t,
esp
ec
i
ally
in
b
o
r
d
er
lin
e
ca
s
es
wh
er
e
r
ig
id
av
e
r
ag
in
g
ca
n
b
e
u
n
f
ai
r
.
W
h
ile
th
e
r
esu
lts
r
e
m
ain
lar
g
ely
c
o
n
s
is
ten
t
with
class
ical
g
r
ad
in
g
,
th
e
f
u
zz
y
a
p
p
r
o
ac
h
p
r
o
v
id
es
d
ee
p
er
in
s
ig
h
t
in
to
p
er
f
o
r
m
an
ce
b
y
co
n
s
id
er
in
g
v
ar
iatio
n
s
ac
r
o
s
s
s
u
b
jects
an
d
co
m
p
ete
n
cies.
I
ts
tr
an
s
p
ar
en
t
a
n
d
ad
ju
s
tab
le
s
tr
u
ctu
r
e
en
ab
les
i
n
s
tr
u
cto
r
s
to
ad
ap
t
ass
ess
m
en
t
cr
iter
ia
to
s
p
ec
if
ic
ed
u
ca
tio
n
al
g
o
als,
wh
ich
is
p
ar
ticu
lar
ly
v
al
u
ab
le
in
co
m
p
e
ten
cy
-
b
ased
b
i
o
m
ed
ical
ed
u
ca
t
io
n
.
Ov
er
all,
th
e
f
in
d
in
g
s
s
u
p
p
o
r
t
th
e
u
s
e
o
f
f
u
zz
y
lo
g
ic
as
a
m
o
d
e
r
n
,
f
ai
r
,
an
d
ex
p
lain
ab
le
ass
ess
m
en
t
to
o
l,
with
s
tr
o
n
g
p
o
ten
tial
f
o
r
ap
p
licati
o
n
in
o
t
h
er
ac
ad
e
m
ic
f
ield
s
an
d
f
o
r
f
u
r
th
er
e
n
h
an
ce
m
en
t th
r
o
u
g
h
la
r
g
er
d
atasets
an
d
h
y
b
r
id
i
n
tellig
en
t sy
s
tem
s
.
ACK
NO
WL
E
DG
M
E
N
T
S
T
h
e
au
th
o
r
s
th
an
k
th
e
Facu
lty
o
f
R
eh
ab
ilit
atio
n
Scien
ce
s
,
S
p
o
r
ts
Un
iv
er
s
ity
o
f
T
ir
an
a,
f
o
r
p
r
o
v
id
in
g
in
s
titu
tio
n
al
s
u
p
p
o
r
t
,
an
d
t
h
e
Po
ly
tech
n
ic
Un
iv
e
r
s
ity
o
f
T
ir
an
a
f
o
r
f
in
an
cially
s
u
p
p
o
r
t
in
g
th
e
p
u
b
licatio
n
o
f
th
is
ar
ticle.
F
UNDING
I
NF
O
R
M
A
T
I
O
N
T
h
e
p
u
b
licatio
n
o
f
t
h
is
ar
ticle
h
as
b
ee
n
f
in
an
cially
s
u
p
p
o
r
te
d
b
y
th
e
Scien
tific
R
esear
ch
Fu
n
d
o
f
t
h
e
Po
ly
tech
n
ic
Un
iv
er
s
ity
o
f
T
ir
a
n
a.
AUTHO
R
CO
NT
RI
B
UT
I
O
NS ST
A
T
E
M
E
N
T
T
h
is
jo
u
r
n
al
u
s
es
th
e
C
o
n
t
r
ib
u
to
r
R
o
les
T
a
x
o
n
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Evaluation Warning : The document was created with Spire.PDF for Python.