I
nte
rna
t
io
na
l J
o
urna
l o
f
E
lect
rica
l a
nd
Co
m
p
ute
r
E
ng
in
ee
ring
(
I
J
E
CE
)
Vo
l.
8
,
No
.
2
,
A
p
r
il
201
8
,
p
p
.
1182
~
1
1
9
3
I
SS
N:
2
0
8
8
-
8708
,
DOI
: 1
0
.
1
1
5
9
1
/
i
j
ec
e
.
v8
i
2
.
p
p
1
1
8
2
-
1193
1182
J
o
ur
na
l ho
m
ep
a
g
e
:
h
ttp
:
//ia
e
s
co
r
e
.
co
m/
jo
u
r
n
a
ls
/in
d
ex
.
p
h
p
/
I
JE
C
E
Dev
elo
p
m
e
nt
o
f
D
ecisio
n Sup
po
rt
S
y
ste
m
f
o
r
O
rde
ri
ng
G
o
o
ds
u
sing
F
u
zz
y
Tsu
ka
m
o
to
Andi
k
Set
y
o
no
,
Siti
Nur
Aeni
De
p
a
rtme
n
t
o
f
In
f
o
rm
a
ti
c
s E
n
g
in
e
e
r
in
g
,
Dia
n
Nu
sw
a
n
to
ro
Un
iv
e
rsity
,
S
e
m
a
r
a
n
g
,
In
d
o
n
e
sia
Art
icle
I
nfo
AB
ST
RAC
T
A
r
ticle
his
to
r
y:
R
ec
eiv
ed
Sep
5
,
2
0
1
7
R
ev
i
s
ed
J
an
3
,
2
0
1
8
A
cc
ep
ted
J
an
11
,
2
0
1
8
T
h
e
d
e
ter
m
in
a
ti
o
n
o
f
a
n
u
m
b
e
r
o
f
it
e
m
s
in
th
e
rig
h
t
n
u
m
b
e
r
is
v
e
r
y
e
ss
e
n
ti
a
l
f
o
r
a
c
o
m
p
a
n
y
,
b
u
t
in
a
c
tu
a
l
p
ra
c
ti
c
e
,
it
is
n
o
t
tri
v
ial
tas
k
.
T
h
e
re
a
re
m
a
n
y
f
a
c
to
rs
th
a
t
in
f
lu
e
n
c
e
th
e
m
su
c
h
a
s
in
v
e
n
to
ry
a
n
d
sa
les
lev
e
ls.
I
f
a
n
u
m
b
e
r
o
f
th
e
o
rd
e
ri
n
g
g
o
o
d
s is
to
o
slig
h
t
o
r
to
o
m
u
c
h
,
it
w
il
l
e
ff
e
c
t
in
th
e
f
u
lfi
ll
m
e
n
t
o
f
c
o
n
su
m
e
r
d
e
m
a
n
d
.
On
e
o
f
th
e
wa
y
s
th
a
t
c
a
n
b
e
u
se
d
to
p
re
d
ict
a
n
u
m
b
e
r
o
f
o
rd
e
rin
g
g
o
o
d
s
is
a
F
u
z
z
y
In
f
e
r
e
n
c
e
S
y
ste
m
(F
IS
)
u
sin
g
T
su
k
a
m
o
to
f
u
z
z
y
lo
g
ic
m
e
th
o
d
.
T
h
re
e
v
a
riab
les
th
a
t
a
re
u
se
d
in
t
h
is
stu
d
y
,
n
a
m
e
l
y
sa
l
e
s,
in
v
e
n
to
ry
,
a
n
d
o
r
d
e
rin
g
o
r
p
u
rc
h
a
sin
g
.
T
h
e
sa
les
in
p
u
t
v
a
riab
les
a
re
d
iv
id
e
d
in
to
3
c
a
teg
o
ries
,
n
a
m
e
l
y
d
o
w
n
,
c
o
n
sta
n
t,
a
n
d
rise
.
T
h
e
n
,
i
n
v
e
n
to
ry
in
p
u
t
v
a
rieb
les
a
r
e
d
iv
id
e
d
in
to
3
c
a
teg
o
ries
,
n
a
m
e
l
y
a
sli
g
h
t,
m
o
d
e
ra
te
a
n
d
m
a
n
y
,
li
k
e
w
i
se
o
rd
e
rin
g
in
p
u
t
v
a
riab
les
a
lso
c
o
n
sists
in
3
c
a
teg
o
ries
,
n
a
m
e
l
y
le
ss
,
c
o
n
sta
n
t,
a
n
d
i
n
c
re
a
se
.
T
h
e
n
e
x
t
ste
p
is
th
e
c
o
m
b
in
a
ti
o
n
o
f
r
u
les
f
ro
m
a
ll
e
v
e
n
ts,
th
e
n
p
e
rf
o
rm
in
g
in
fe
re
n
c
e
a
n
d
d
e
f
u
z
z
if
i
k
a
si
to
f
in
d
a
v
e
ra
g
e
c
e
n
tere
d
.
T
o
p
ro
v
e
th
e
a
p
p
li
e
d
m
e
th
o
d
a
g
a
in
st
m
a
n
u
a
l
c
a
lcu
latio
n
s
a
re
th
e
n
im
p
le
m
e
n
ted
in
th
e
d
e
v
e
lo
p
e
d
sy
ste
m
.
T
h
e
re
su
lt
s
o
f
th
e
s
y
ste
m
c
a
lcu
latio
n
d
o
n
o
t
m
u
c
h
d
if
f
e
re
n
t
w
it
h
th
e
c
a
lcu
latio
n
re
su
lt
s
th
a
t
a
re
d
o
n
e
b
y
m
a
n
u
a
ll
y
.
T
h
is
is
p
ro
v
e
n
b
y
in
f
o
rm
a
ti
o
n
i
n
th
e
tab
le
o
f
M
e
a
n
S
q
u
a
re
d
Er
ro
r
(M
S
E
)
w
it
h
e
rro
r
re
su
lt
s
o
f
u
n
d
e
r
1
.
S
o
,
w
it
h
o
u
t
p
re
j
u
d
ice
t
o
a
c
c
u
ra
c
y
in
th
e
c
a
lcu
latio
n
,
t
h
e
sy
ste
m
c
a
n
b
e
u
se
d
to
sa
v
e
ti
m
e
in
d
e
ter
m
in
in
g
th
e
a
m
o
u
n
t
o
f
th
e
o
rd
e
rin
g
g
o
o
d
s.
T
h
e
p
ro
p
o
se
d
m
e
th
o
d
c
a
n
h
e
lp
f
o
r
re
se
a
rc
h
o
b
jec
t,
in
th
is
c
a
se
is
re
tail
c
o
m
p
a
n
y
to
d
e
term
i
n
e
a
n
u
m
b
e
r
o
f
o
rd
e
ri
n
g
g
o
o
d
s
.
K
ey
w
o
r
d
:
Dec
is
io
n
s
u
p
p
o
r
t s
y
s
te
m
Def
u
zz
if
ik
a
s
i
Fu
zz
i
f
icatio
n
Fu
zz
y
in
f
er
en
ce
s
y
s
te
m
T
s
u
k
a
m
o
to
m
eth
o
d
Co
p
y
rig
h
t
©
2
0
1
8
In
stit
u
te o
f
A
d
v
a
n
c
e
d
E
n
g
i
n
e
e
rin
g
a
n
d
S
c
ien
c
e
.
Al
l
rig
h
ts
re
se
rv
e
d
.
C
o
r
r
e
s
p
o
nd
ing
A
uth
o
r
:
An
d
ik
Set
y
o
n
o
,
Dep
ar
te
m
en
t o
f
I
n
f
o
r
m
atic
E
n
g
in
ee
r
i
n
g
,
Facu
lt
y
o
f
C
o
m
p
u
ter
Scien
ce
,
Dian
N
u
s
w
a
n
to
r
o
Un
i
v
er
s
it
y
,
J
alan
I
m
a
m
B
o
n
j
o
l 2
0
7
Sem
ar
an
g
,
5
0
1
3
1
,
I
n
d
o
n
esia.
E
m
ail: a
n
d
ik
.
s
e
t
y
o
n
o
@
d
s
n
.
d
in
u
s
.
ac
.
id
1.
I
NT
RO
D
UCT
I
O
N
A
r
etail
co
m
p
a
n
y
d
en
o
tes
r
et
ailer
o
f
v
ar
io
u
s
g
o
o
d
s
.
I
n
ca
r
r
y
in
g
o
u
t
it
s
b
u
s
i
n
es
s
ac
ti
v
iti
es,
a
r
etail
co
m
p
a
n
y
p
u
r
c
h
ase
s
th
e
p
r
o
d
u
cts
f
r
o
m
s
u
p
p
lier
s
an
d
th
e
n
s
ellin
g
th
e
m
to
th
eir
co
n
s
u
m
er
s
.
B
u
y
i
n
g
g
o
o
d
s
is
s
tar
ted
b
y
o
r
d
er
in
g
g
o
o
d
s
.
Dete
r
m
i
n
i
n
g
t
h
e
n
u
m
b
er
o
f
th
e
o
r
d
er
in
g
g
o
o
d
s
in
th
e
r
i
g
h
t
n
u
m
b
er
i
s
v
er
y
i
m
p
o
r
tan
t
t
h
i
n
g
f
o
r
a
co
m
p
an
y
,
b
u
t
t
h
e
i
m
p
le
m
e
n
tatio
n
is
n
o
t
ea
s
y
b
ec
au
s
e
t
h
er
e
ar
e
m
a
n
y
f
ac
to
r
s
t
h
at
a
f
f
ec
t
th
e
a
m
o
u
n
t
o
f
in
v
en
to
r
y
an
d
s
ales
lev
el
s
.
I
f
a
n
u
m
b
er
o
f
th
e
o
r
d
er
in
g
g
o
o
d
s
is
to
o
s
lig
h
t
o
r
to
o
m
an
y
,
it
w
ill
af
f
ec
t in
t
h
e
f
u
l
f
il
l
m
e
n
t o
f
co
n
s
u
m
er
d
e
m
a
n
d
.
On
e
o
f
t
h
e
r
ea
l
p
r
o
b
le
m
s
t
h
at
o
f
te
n
ap
p
ea
r
o
n
t
h
e
r
etail
co
m
p
a
n
y
i
s
t
h
e
d
i
f
f
icu
lt
y
i
n
d
et
er
m
in
in
g
a
n
u
m
b
er
o
f
g
o
o
d
s
th
at
h
a
v
e
b
ee
n
p
u
r
ch
ased
i
n
th
e
r
ig
h
t
n
u
m
b
er
f
r
o
m
s
u
p
p
lier
f
o
r
th
e
n
ex
t
m
o
n
t
h
s
.
I
t
is
ca
u
s
ed
th
e
s
ale
s
o
f
g
o
o
d
s
f
o
r
e
v
er
y
m
o
n
t
h
e
x
p
er
ien
ci
n
g
f
l
u
ct
u
atio
n
s
t
h
at
i
s
t
h
e
i
n
cr
ea
s
es
a
n
d
d
ec
r
ea
s
es
in
d
e
m
a
n
d
.
So
m
e
r
etail
co
m
p
an
ie
s
u
s
u
al
l
y
o
n
l
y
r
el
y
o
n
est
i
m
a
tes
i
n
o
r
d
er
in
g
g
o
o
d
s
f
o
r
ea
ch
m
o
n
th
.
An
ar
ti
f
icia
l
in
telli
g
e
n
ce
is
r
eq
u
ir
ed
to
b
e
ab
le
to
o
v
er
co
m
e
t
h
ese
p
r
o
b
le
m
s
.
On
e
m
et
h
o
d
o
f
ar
tif
ic
ial
in
telli
g
e
n
ce
s
to
p
er
f
o
r
m
e
s
ti
m
atio
n
o
r
p
r
ed
ictio
n
is
f
u
zz
y
lo
g
ic.
W
it
h
th
e
f
u
zz
y
lo
g
ic,
th
e
h
u
m
a
n
i
n
telli
g
en
t
s
y
s
te
m
ca
n
b
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
Dev
elo
p
men
t o
f D
ec
is
io
n
S
u
p
p
o
r
t S
ystem
fo
r
Ord
erin
g
Go
o
d
s
u
s
in
g
F
u
z
z
y
Ts
u
ka
mo
to
(
A
n
d
ik
S
etyo
n
o
)
1183
i
m
p
le
m
en
ted
i
n
to
m
ac
h
in
e
la
n
g
u
a
g
e
ef
f
icie
n
tl
y
a
n
d
ea
s
il
y
.
Fu
zz
y
lo
g
ic
ca
n
b
e
u
s
ed
to
d
r
a
w
a
co
n
clu
s
io
n
f
r
o
m
i
n
p
u
t
d
ata
an
d
o
u
tp
u
t
d
at
a.
B
y
u
s
in
g
F
u
zz
y
I
n
f
er
e
n
ce
S
y
s
te
m
(
FIS)
,
f
u
zz
y
lo
g
ic
ca
n
m
ap
an
in
p
u
t
to
th
e
o
u
tp
u
t [
1
]
.
Fu
zz
y
I
n
f
er
e
n
ce
S
y
s
te
m
(
FIS)
is
a
th
eo
r
y
o
f
r
ea
s
o
n
i
n
g
a
n
d
f
u
zz
y
s
et
in
t
h
e
f
o
r
m
o
f
I
F
-
T
HE
N
b
ased
o
n
co
m
p
u
tatio
n
a
l
f
r
a
m
e
w
o
r
k
.
FIS
g
et
s
cr
is
p
in
p
u
t,
t
h
en
s
e
n
d
s
i
n
p
u
t
t
h
r
o
u
g
h
f
u
zz
y
r
u
les
in
t
h
e
f
o
r
m
o
f
I
F
-
T
HE
N.
I
n
ea
ch
r
u
le
w
i
ll
b
e
s
o
u
g
h
t
f
ir
e
s
tr
en
g
t
h
(
α
)
.
Hav
i
n
g
m
o
r
e
th
a
n
o
n
e
r
u
le
w
ill
a
g
g
r
eg
ate
all
r
u
le
s
.
T
o
g
et
t
h
e
cr
is
p
v
al
u
e
as
th
e
o
u
tp
u
t,
th
e
n
t
h
e
r
es
u
lt
o
f
th
e
a
g
g
r
eg
atio
n
w
i
ll
b
e
d
ef
u
zz
y
[
1
]
,
[2
]
.
I
n
th
is
r
esear
c
h
,
th
e
u
s
ed
FIS
m
et
h
o
d
is
T
s
u
k
a
m
o
to
.
T
s
u
k
a
m
o
to
m
e
th
o
d
ca
n
b
e
u
s
ed
to
a
s
s
i
s
t
i
n
m
a
k
in
g
d
ec
is
io
n
s
f
o
r
d
eter
m
in
i
n
g
th
e
a
m
o
u
n
t
o
f
o
r
d
er
in
g
g
o
o
d
s
.
T
h
is
m
et
h
o
d
is
co
n
s
is
ten
t
w
i
th
t
h
e
I
F
-
T
HE
N
r
u
les
t
h
at
i
s
d
ep
icted
in
t
h
e
f
u
zz
y
s
et
w
it
h
t
h
e
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
in
th
e
f
o
r
m
o
f
o
u
tp
u
t.
T
h
e
o
u
tp
u
t
r
es
u
lts
ar
e
b
ased
o
n
α
,
t
h
e
n
th
e
e
n
d
r
es
u
lt
is
o
b
tai
n
ed
b
y
u
s
i
n
g
d
ef
u
zz
i
f
icatio
n
[
3
]
,
[
4
]
.
T
h
e
d
eter
m
i
n
atio
n
o
f
t
h
e
q
u
a
n
tit
y
o
r
d
er
o
f
g
o
o
d
s
w
it
h
T
s
u
k
a
m
o
to
m
et
h
o
d
is
b
ased
o
n
in
v
e
n
to
r
y
a
n
d
s
ales
d
ata.
T
h
e
d
a
ta
w
ill
b
e
r
ep
r
esen
ted
u
s
in
g
th
e
f
u
zz
y
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
.
Ma
n
u
a
l
ca
lcu
latio
n
r
eq
u
ir
es
th
e
m
a
x
i
m
u
m
a
n
d
m
i
n
i
m
u
m
o
f
t
h
e
g
o
o
d
s
in
v
en
to
r
y
d
ata,
m
a
x
i
m
u
m
a
n
d
m
i
n
i
m
u
m
o
f
t
h
e
g
o
o
d
s
s
ales,
m
ax
i
m
u
m
an
d
m
i
n
i
m
u
m
o
r
d
er
in
g
g
o
o
d
s
.
T
h
e
f
u
zz
y
ca
lcu
la
ti
o
n
s
w
ill ta
k
e
a
lo
n
g
ti
m
e
i
f
it
is
d
o
n
e
m
a
n
u
a
ll
y
.
T
o
m
in
i
m
ize
th
e
ca
lcu
la
tio
n
er
r
o
r
an
d
to
s
av
e
ti
m
e,
t
h
en
T
s
u
k
a
m
o
to
m
eth
o
d
is
ap
p
lied
in
Dec
is
io
n
S
u
p
p
o
r
t
S
y
s
te
m
(
DSS).
A
p
p
l
y
in
g
t
h
e
f
u
zz
y
m
et
h
o
d
to
th
e
d
ec
is
io
n
s
u
p
p
o
r
t
s
y
s
te
m
i
s
ex
p
ec
ted
to
ass
is
t
i
n
m
ak
i
n
g
g
o
o
d
s
o
r
d
er
in
g
d
ec
is
io
n
s
.
T
h
e
d
ata
in
th
e
i
n
p
u
t
v
ar
iab
les
w
il
l
th
en
b
e
p
r
o
ce
s
s
ed
b
y
t
h
e
d
ec
is
io
n
s
u
p
p
o
r
t
s
y
s
te
m
b
y
u
s
in
g
t
h
e
T
s
u
k
a
m
o
to
m
et
h
o
d
an
d
d
is
p
lay
t
h
e
o
u
tp
u
t
o
f
th
e
n
u
m
b
er
o
f
g
o
o
d
s
to
b
e
m
ad
e
r
eser
v
atio
n
s
[
5
]
,
[
6
]
.
B
ased
o
n
th
e
p
r
ev
io
u
s
r
esear
c
h
,
th
e
a
u
t
h
o
r
s
ch
o
o
s
e
t
h
e
m
e
th
o
d
o
f
T
s
u
k
a
m
o
to
in
th
e
ca
s
e
o
f
o
r
d
er
in
g
g
o
o
d
s
f
o
r
r
etail
co
m
p
a
n
ies
b
ec
au
s
e
t
h
is
m
et
h
o
d
u
s
es
t
h
e
av
er
ag
e
w
ei
g
h
t
-
o
u
tp
u
t
(
w
ei
g
h
t
av
er
a
g
e)
is
v
er
y
s
i
m
p
le
a
n
d
ea
s
y
to
u
n
d
er
s
ta
n
d
.
T
h
is
s
tu
d
y
is
s
til
l
r
elev
a
n
t
to
th
e
c
u
r
r
en
t
co
n
d
it
io
n
s
,
w
h
er
e
th
e
ap
p
licati
o
n
o
f
ar
tif
icial
i
n
telli
g
e
n
ce
ca
n
h
elp
p
eo
p
le
in
m
a
k
i
n
g
d
ec
is
io
n
s
i
n
th
is
ca
s
e
f
o
r
d
eter
m
in
in
g
t
h
e
n
u
m
b
er
o
f
o
r
d
er
in
g
g
o
o
d
s
in
th
e
n
e
x
t
m
o
n
t
h
q
u
ic
k
l
y
.
2.
RE
S
E
ARCH
M
E
T
H
O
D
AN
D
L
I
T
E
R
AT
U
RE
R
E
VI
E
W
2
.
1
.
Rea
s
ea
rc
h M
et
ho
d
I
n
th
i
s
s
t
u
d
y
,
th
e
f
ir
s
t
s
tep
th
at
is
d
o
n
e
b
y
a
u
t
h
o
r
s
is
o
b
s
e
r
v
atio
n
a
n
d
th
en
f
o
llo
w
ed
b
y
liter
atu
r
e
r
ev
ie
w
.
Ob
s
er
v
at
io
n
is
d
o
n
e
t
o
g
et
in
f
o
r
m
at
io
n
,
u
n
d
er
s
ta
n
d
in
g
,
a
n
d
k
n
o
w
led
g
e
ab
o
u
t
th
e
p
r
o
b
lem
s
t
h
at
ar
e
f
ac
ed
b
y
a
r
etail
co
m
p
an
y
as
t
h
e
r
eser
ac
h
o
b
j
ec
t.
T
h
en
,
th
e
n
ex
t
s
tep
is
lieter
at
u
r
e
r
ev
ie
w
t
o
an
alize
an
d
f
i
n
d
s
o
lu
tio
n
f
o
r
th
e
p
r
o
b
lem
s
an
d
u
s
i
n
g
t
h
eo
r
y
th
at
b
ec
o
m
e
b
as
is
o
f
th
e
i
n
f
o
r
m
atio
n
an
d
s
o
m
e
r
elate
d
id
ea
s
th
at
co
m
e
f
r
o
m
b
o
o
k
s
,
j
o
u
r
n
als,
p
r
o
ce
ed
in
g
s
,
a
n
d
p
ap
er
s
.
I
n
th
is
s
tu
d
y
,
a
u
t
h
o
r
s
u
s
ed
th
e
s
ec
o
n
d
ar
y
d
ata
th
at
ar
e
o
b
tain
ed
th
r
o
u
g
h
a
s
e
r
ies
o
f
d
ata
co
llectio
n
m
et
h
o
d
s
a
n
d
d
ata
q
u
er
y
o
f
t
h
e
r
elate
d
r
e
s
ea
r
ch
.
T
h
is
d
at
a
ar
e
o
b
tain
ed
f
r
o
m
th
e
co
lle
ctio
n
o
f
d
o
cu
m
e
n
ts
w
h
ic
h
h
a
v
e
b
ee
n
r
ec
o
r
d
ed
p
er
io
d
icall
y
.
T
h
e
d
ata
co
n
tain
s
t
h
e
n
u
m
b
er
o
f
s
a
les,
t
h
e
a
m
o
u
n
t
o
f
in
v
e
n
to
r
y
a
n
d
th
e
n
u
m
b
er
o
f
o
r
d
er
s
f
o
r
ea
c
h
m
o
n
t
h
.
T
h
e
d
ata
w
ill
b
e
u
s
ed
as
i
n
p
u
t
to
t
h
e
s
y
s
te
m
.
T
h
e
d
ata
r
ep
r
esen
ts
r
elatin
g
d
ata
to
th
e
co
n
d
itio
n
s
o
f
th
e
t
w
o
in
p
u
t
v
ar
iab
les a
n
d
o
n
e
o
u
tp
u
t
v
ar
iab
le.
T
h
e
f
o
llo
w
i
n
g
v
ar
iab
l
e
s
w
ill
b
e
u
s
ed
in
th
is
s
t
u
d
y
:
a
)
Sale
s
in
p
u
t
v
ar
iab
le
s
ar
e
d
i
v
id
ed
i
n
t
o
3
ca
teg
o
r
ies
n
a
m
el
y
d
o
w
n
,
c
o
n
s
ta
n
t a
n
d
r
is
e.
b
)
I
n
v
e
n
to
r
y
i
n
p
u
t
v
ar
iab
les
ar
e
d
iv
id
ed
in
to
3
ca
te
g
o
r
ies:
s
li
g
h
t,
m
o
d
er
ate,
m
a
n
y
.
c
)
Or
d
er
o
u
tp
u
t
v
ar
iab
les
ar
e
d
iv
id
ed
in
to
3
ca
teg
o
r
ies n
a
m
e
l
y
les
s
,
co
n
s
ta
n
t,
an
d
i
n
cr
ea
s
e
d
.
T
h
is
r
esear
ch
b
eg
in
s
w
i
th
co
ll
ec
tin
g
d
ata
th
at
co
n
tain
ed
i
n
a
r
etail
co
m
p
an
y
,
th
e
n
th
e
o
b
tain
ed
d
ata
r
eq
u
ir
ed
th
at
ar
e
o
r
d
er
in
g
g
o
o
d
s
d
ata
s
tar
tin
g
i
n
2
0
1
5
u
n
til
2
0
1
6
.
A
f
ter
t
h
e
d
ata
o
b
tain
ed
o
r
co
llected
th
en
t
h
e
d
ata
ar
e
p
r
o
ce
s
s
ed
u
s
in
g
th
e
T
s
u
k
a
m
o
to
m
e
th
o
d
.
T
h
e
o
b
ta
in
ed
r
esu
lt
s
th
e
n
ar
e
p
er
f
o
r
m
ed
a
co
m
p
ar
is
o
n
b
y
u
s
i
n
g
m
a
n
u
a
l
ca
lcu
latio
n
s
.
T
h
er
e
ar
e
s
ev
er
al
s
tep
s
th
at
ar
e
d
o
n
e
f
r
o
m
th
e
o
b
tain
ed
d
ata,
th
e
f
ir
s
t
f
u
zz
i
f
icatio
n
in
th
e
f
o
r
m
o
f
f
u
zz
y
s
et
an
d
m
e
m
b
er
s
h
ip
f
u
n
ct
io
n
.
T
h
en
p
r
o
ce
ed
w
it
h
r
u
les
i
n
th
e
f
o
r
m
o
f
I
F
-
T
HE
N
to
co
n
n
ec
t
v
ar
io
u
s
i
n
f
o
r
m
atio
n
with
o
th
er
i
n
f
o
r
m
atio
n
s
o
th
at
i
t c
an
b
e
co
n
clu
d
ed
.
Fu
r
t
h
er
m
o
r
e,
Fu
zz
y
I
n
f
er
e
n
ce
S
y
s
te
m
(
FIS)
ai
m
s
to
s
e
n
d
in
p
u
t
th
r
o
u
g
h
f
u
zz
y
r
u
le
s
in
t
h
e
f
o
r
m
o
f
I
F
-
T
HE
N.
Fu
r
t
h
er
,
d
ef
u
zz
i
f
icatio
n
i
s
u
s
ed
to
ch
an
g
e
t
h
e
o
u
tp
u
t
t
h
at
h
a
s
b
ee
n
o
b
tain
ed
t
h
r
o
u
g
h
th
e
FIS
s
tag
e
b
ec
o
m
es
a
f
ir
m
v
alu
e
b
y
u
s
i
n
g
th
e
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
co
n
tai
n
e
d
in
th
e
f
illi
n
g
[
7
]
.
T
esti
n
g
i
s
co
n
d
u
cted
to
d
ete
r
m
in
e
th
e
s
u
cc
e
s
s
r
ate
i
n
t
h
e
i
m
p
le
m
en
ta
tio
n
o
f
I
n
f
er
en
ce
d
Fu
zz
y
T
s
u
k
a
m
o
to
s
y
s
te
m
f
o
r
o
r
d
er
in
g
g
o
o
d
s
.
T
esti
n
g
is
p
er
f
o
r
m
ed
b
y
w
a
y
o
f
co
m
p
ar
is
o
n
o
f
o
r
d
er
in
g
g
o
o
d
s
u
s
in
g
th
e
s
y
s
te
m
w
i
th
r
e
s
er
v
atio
n
s
co
n
tain
ed
i
n
a
r
etail
co
m
p
a
n
y
.
T
esti
n
g
t
h
e
ac
cu
r
ac
y
lev
el
i
n
th
is
s
y
s
te
m
u
s
in
g
th
e
Me
an
Sq
u
ar
ed
E
r
r
o
r
(
MSE
)
m
e
th
o
d
,
an
d
h
er
e
is
t
h
e
f
o
r
m
u
la
[
7
]
:
∑
(
1
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
8
,
No
.
2
,
A
p
r
il 2
0
1
8
:
1
1
8
2
–
1193
1184
T
h
e
ac
cu
r
ac
y
o
f
d
ata
test
i
n
g
ca
n
b
e
s
ee
n
b
ased
o
n
th
e
MSE
o
b
tain
ed
f
r
o
m
ea
ch
m
e
th
o
d
.
MSE
is
a
m
et
h
o
d
f
o
r
an
al
y
z
in
g
o
r
m
ea
s
u
r
i
n
g
d
ata
e
r
r
o
r
s
.
T
h
is
MSE
m
et
h
o
d
is
u
s
ed
to
d
eter
m
i
n
e
t
h
e
b
e
s
t
d
e
f
u
z
zif
icatio
n
m
et
h
o
d
s
.
Fig
u
r
e
1
is
th
e
f
lo
w
o
f
r
esear
c
h
ac
tiv
ities
b
elo
w
:
T
h
e
e
a
r
l
y
s
t
e
p
o
f
t
h
e
R
e
s
e
a
r
c
h
L
i
t
e
r
a
t
u
r
e
S
t
u
d
y
R
e
s
e
a
r
c
h
D
a
t
a
P
r
o
c
e
s
s
i
n
g
I
n
p
u
t
D
a
t
a
f
o
r
O
r
d
e
r
i
n
g
G
o
o
d
s
M
a
n
u
a
l
C
a
l
c
u
l
a
t
i
o
n
s
O
u
t
p
u
t
F
u
z
z
y
T
s
u
k
a
m
o
t
o
M
o
d
e
l
F
u
z
z
i
f
i
c
a
t
i
o
n
R
u
l
e
s
I
n
f
e
r
e
n
c
y
M
a
c
h
i
n
e
D
e
f
u
z
z
i
f
i
c
a
t
i
o
n
1
.
D
e
t
e
r
m
i
n
i
n
g
t
h
e
R
e
q
u
i
r
e
d
D
a
t
a
2
.
C
o
l
l
e
c
t
i
n
g
D
a
t
a
3
.
P
r
e
p
a
r
i
n
g
T
o
o
l
s
&
R
e
s
e
a
r
c
h
M
a
t
e
r
i
a
l
S
t
u
d
y
i
n
g
F
u
z
z
y
T
s
u
k
a
m
o
t
o
C
o
n
c
e
p
t
Fig
u
r
e
1
.
Flo
w
o
f
r
esear
c
h
ac
ti
v
itie
s
2
.
2
.
L
it
er
a
t
ure
Rev
iew
2
.
2
.
1
.
L
o
g
ik
a
F
uzzy
I
n
1
9
6
2
Pro
f
.
L
o
tf
i
A
s
to
r
Z
a
d
eh
in
tr
o
d
u
ce
s
f
u
zz
y
lo
g
ic.
T
o
s
o
lv
e
t
h
e
p
r
o
b
lem
o
f
co
n
tr
o
l
s
y
s
te
m
r
eq
u
ir
ed
m
et
h
o
d
o
lo
g
y
b
y
u
s
i
n
g
f
u
zz
y
lo
g
ic.
T
h
e
s
o
lu
tio
n
o
f
th
is
p
r
o
b
le
m
is
ap
p
r
o
p
r
iate
to
ap
p
ly
to
co
n
tr
o
l
s
y
s
te
m
s
,
co
m
p
u
ter
n
e
t
w
o
r
k
,
w
o
r
k
s
tatio
n
s
,
s
i
m
p
le
s
y
s
te
m
s
an
d
s
m
al
l
s
y
s
te
m
s
.
T
h
e
m
eth
o
d
o
lo
g
y
u
s
ed
ca
n
b
e
i
m
p
le
m
en
ted
w
it
h
h
ar
d
w
ar
e,
s
o
f
t
w
ar
e
o
r
co
m
b
i
n
atio
n
o
f
t
h
e
m
.
A
l
l
th
at
i
s
in
cla
s
s
ical
lo
g
ic
h
as
a
b
i
n
ar
y
n
atu
r
e
th
at
h
a
s
t
w
o
p
o
s
s
ib
ilit
i
es,
"T
r
u
e
o
r
Fals
e"
,
"
Yes
o
r
No
"
,
an
d
s
o
o
n
.
So
th
e
v
a
lu
e
o
f
m
e
m
b
er
s
h
ip
1
o
r
0
ca
n
h
a
v
e
e
v
er
y
t
h
i
n
g
.
Ho
w
e
v
e
r
,
m
e
m
b
er
s
h
ip
v
al
u
e
1
o
r
0
o
n
l
y
co
n
s
is
t
s
o
f
t
w
o
v
al
u
es:
"
T
r
u
e
an
d
Fa
ls
e"
,
"
Yes
an
d
No
"
s
im
u
lta
n
eo
u
s
l
y
,
b
u
t b
e
lo
n
g
i
n
g
to
th
e
w
ei
g
h
t o
f
t
h
e
m
e
m
b
er
s
h
ip
p
r
o
ce
s
s
d
ep
en
d
s
o
n
th
e
m
ag
n
it
u
d
e
o
f
th
e
v
a
lu
e
[
8
]
,
[
9
]
.
Fu
zz
y
lo
g
i
c
is
o
n
e
t
h
at
ca
n
d
escr
ib
e
t
h
e
in
p
u
t
to
o
u
tp
u
t
s
p
ac
e
a
n
d
h
a
s
an
o
n
g
o
in
g
v
al
u
e.
Fu
zz
y
lo
g
ic
is
e
x
p
r
ess
ed
b
y
d
eg
r
ee
s
o
f
au
th
e
n
ticit
y
a
n
d
m
e
m
b
er
s
h
ip
.
T
h
e
r
ef
o
r
e
ev
er
y
t
h
i
n
g
is
eit
h
er
w
r
o
n
g
o
r
tr
u
e
at
th
e
s
a
m
e
ti
m
e
[
2
]
.
T
h
e
f
u
zz
y
s
et
i
s
also
ca
lled
cr
is
p
,
s
et
B
h
as
a
m
e
m
b
er
s
h
ip
v
alu
e
y
s
o
it
ca
n
b
e
w
r
itte
n
li
k
e
th
i
s
[
x
]
,
w
h
ic
h
h
as
2
p
o
s
s
ib
le
v
al
u
es
as
f
o
llo
w
s
[
1
0
]
:
(
a)
On
e
m
ea
n
s
a
s
et
h
a
s
a
m
e
m
b
er
s
h
i
p
v
alu
e
o
f
a
p
ar
ticu
lar
ite
m
.
(
b
)
Z
er
o
m
ea
n
s
a
s
et
h
a
s
n
o
m
e
m
b
er
s
h
ip
v
al
u
e
o
f
a
p
ar
tic
u
lar
ite
m
.
T
h
e
r
ea
s
o
n
f
o
r
u
s
i
n
g
f
u
zz
y
lo
g
ic
i
s
a
s
f
o
llo
w
s
:
(
a
)
i
t
i
s
ea
s
y
to
u
n
d
er
s
tan
d
,
b
ec
au
s
e
t
h
e
m
at
h
e
m
atica
l
s
et
th
eo
r
y
as
th
e
b
asis
o
f
f
u
zz
y
i
s
ea
s
y
to
u
n
d
er
s
ta
n
d
,
(
b
)
f
lex
ib
le
to
m
o
d
if
i
ca
tio
n
a
n
d
u
n
ce
r
tain
t
y
is
s
u
e
s
,
(
c
)
h
a
s
ac
ce
p
ta
n
ce
o
n
t
h
e
d
ata
th
at
is
les
s
p
r
ec
is
e,
an
d
d
)
Usi
n
g
lan
g
u
ag
e
th
at
i
s
ea
s
y
to
u
n
d
er
s
tan
d
.
T
h
e
t
w
o
attr
ib
u
te
s
t
h
at
is
p
o
s
s
e
s
s
ed
b
y
th
e
f
u
zz
y
s
et
ar
e
as
f
o
llo
w
s
[
1
0
]
:
(
a
)
L
in
g
u
i
s
tic
s
:
n
a
m
i
n
g
t
h
e
s
et
u
s
i
n
g
e
v
er
y
d
a
y
la
n
g
u
a
g
e
to
r
ep
lace
u
n
d
er
ce
r
tain
co
n
d
itio
n
s
,
Fo
r
ex
a
m
p
le
SLO
W
,
ME
DI
UM
,
QUI
C
K
r
ep
la
ce
v
ar
iab
le
s
p
ee
d
.
(
b
)
Nu
m
er
ical:
a
n
u
m
b
er
th
at
s
h
o
w
s
t
h
e
p
ar
a
m
eter
s
o
f
a
v
ar
i
ab
le,
f
o
r
ex
a
m
p
le
1
5
,
3
0
,
4
5
a
n
d
o
th
er
s
.
Fig
u
r
e
2
s
h
o
w
t
h
e
f
u
zz
y
s
et
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
Dev
elo
p
men
t o
f D
ec
is
io
n
S
u
p
p
o
r
t S
ystem
fo
r
Ord
erin
g
Go
o
d
s
u
s
in
g
F
u
z
z
y
Ts
u
ka
mo
to
(
A
n
d
ik
S
etyo
n
o
)
1185
2
0
3
5
5
0
Y
O
U
N
G
A
D
U
L
T
O
L
D
Fig
u
r
e
2
.
Fu
zz
y
s
et
T
h
e
u
n
iv
er
s
e
o
f
co
n
v
er
s
atio
n
is
all
th
e
n
u
m
b
er
s
th
at
h
a
v
e
b
ee
n
ap
p
r
o
v
ed
to
p
er
f
o
r
m
o
p
er
atio
n
s
w
it
h
i
n
th
e
f
u
zz
y
v
ar
iab
les.
T
h
e
f
u
zz
y
s
et
d
o
m
ain
i
s
all
th
e
ap
p
r
o
v
ed
n
u
m
b
er
s
t
h
at
ex
is
t
w
it
h
i
n
th
e
s
p
ee
c
h
u
n
i
v
er
s
e
a
n
d
ca
n
o
p
er
ate
to
th
e
f
u
zz
y
s
et.
T
h
e
m
e
m
b
er
s
h
ip
d
eg
r
ee
f
o
r
ea
ch
in
p
u
t
v
a
r
iab
le
lies
b
et
w
ee
n
in
ter
v
a
ls
0
an
d
1
is
a
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
.
T
h
e
v
ar
iab
le
x
th
at
ex
i
s
ts
w
it
h
i
n
th
e
m
e
m
b
er
s
h
ip
lev
el
is
d
en
o
ted
b
y
μ
(
x
)
.
T
o
g
et
co
n
clu
s
io
n
ev
er
y
r
u
le
m
u
s
t
u
s
e
t
h
e
v
al
u
e
o
f
m
e
m
b
er
s
h
ip
as
a
f
ac
to
r
co
n
s
id
er
atio
n
in
d
eter
m
in
i
n
g
th
e
e
f
f
ec
t o
f
ti
m
e
in
f
er
en
ce
.
T
h
e
r
ea
s
o
n
in
g
a
n
d
f
u
zz
y
s
et
i
n
th
e
f
o
r
m
o
f
I
F
-
T
HE
N
is
b
as
ed
o
n
a
co
m
p
u
ta
tio
n
al
f
r
a
m
e
w
o
r
k
ca
lled
th
e
F
u
zz
y
I
n
f
er
en
ce
S
y
s
te
m
(
FIS)
.
FIS
o
b
tain
s
cr
is
p
in
p
u
t,
t
h
en
s
e
n
d
s
i
n
p
u
t t
h
r
o
u
g
h
f
u
zz
y
r
u
les i
n
t
h
e
f
o
r
m
o
f
IF
-
T
HE
N.
Hav
in
g
m
o
r
e
t
h
an
o
n
e
r
u
le
w
ill
a
g
g
r
e
g
ate
all
r
u
l
es.
T
h
en
to
g
et
th
e
cr
i
s
p
v
al
u
e
as
o
u
tp
u
t,
t
h
e
r
esu
l
t
o
f
th
e
a
g
g
r
eg
atio
n
w
ill
b
e
d
ef
u
zz
y
[
3
]
.
T
h
er
e
ar
e
3
s
t
ag
es
t
h
at
ca
n
b
e
ap
p
lied
to
f
u
zz
y
lo
g
ic
[
3
]
:
(
a
)
Fu
zz
if
icat
io
n
o
r
b
lu
r
r
in
g
:
m
ap
p
in
g
in
p
u
t
in
to
t
h
e
f
u
zz
i
f
i
ca
tio
n
s
et,
(
b
)
Fu
zz
y
I
n
f
er
en
ce
S
y
s
te
m
:
g
en
er
ati
n
g
f
u
zz
if
ica
tio
n
r
u
les,
an
d
(
c
)
De
f
u
zz
if
ica
tio
n
:
tr
an
s
f
o
r
m
in
g
o
u
tp
u
t
f
r
o
m
f
u
zz
i
f
icatio
n
to
a
f
ir
m
v
al
u
e.
R
u
le
is
a
k
n
o
w
led
g
e
s
tr
u
ct
u
r
e
th
at
co
n
n
ec
ts
to
v
ar
io
u
s
in
f
o
r
m
at
io
n
w
i
th
o
th
er
in
f
o
r
m
atio
n
s
o
th
at
it
ca
n
b
e
co
n
clu
d
ed
.
T
h
e
R
u
le
co
n
tai
n
ed
in
th
e
I
F
w
ill
co
n
n
ec
t
o
n
e
o
r
m
o
r
e
p
r
e
m
is
e
s
a
n
d
at
T
HE
N
w
ill
co
n
n
ec
t
o
n
e
o
r
m
o
r
e
co
n
clu
s
io
n
s
.
R
u
le
ca
n
h
a
v
e
m
o
r
e
t
h
a
n
o
n
e
p
r
e
m
is
e
b
y
li
n
k
i
n
g
t
h
e
co
n
j
u
n
ctio
n
(
A
N
D
)
s
tate
m
e
n
t
a
n
d
th
e
d
is
j
u
n
ctio
n
s
tate
m
en
t (
OR
)
o
r
a
co
m
b
i
n
atio
n
o
f
th
e
t
w
o
[
3
]
,
[
6
]
,
[
7
]
.
T
s
u
k
a
m
o
to
'
s
m
eth
o
d
ap
p
lies
m
o
n
o
to
n
o
u
s
r
ea
s
o
n
i
n
g
to
e
v
e
r
y
r
u
le.
I
n
m
o
n
o
to
n
o
u
s
r
ea
s
o
n
in
g
,
th
e
s
y
s
te
m
h
as
o
n
l
y
o
n
e
r
u
le.
I
n
T
s
u
k
a
m
o
to
'
s
m
et
h
o
d
,
th
e
s
y
s
t
e
m
co
n
s
i
s
t
s
o
f
s
e
v
er
al
r
u
les.
B
ec
au
s
e
u
s
in
g
t
h
e
b
asic
co
n
ce
p
t
o
f
m
o
n
o
to
n
o
u
s
r
ea
s
o
n
in
g
,
i
n
T
s
u
k
a
m
o
to
'
s
m
et
h
o
d
,
an
y
co
n
s
eq
u
e
n
ce
o
n
th
e
I
F
-
T
HE
N
r
u
le
s
m
u
s
t
b
e
r
ep
r
esen
ted
b
y
a
f
u
z
z
y
s
et
w
it
h
a
m
o
n
o
to
n
o
u
s
m
e
m
b
er
s
h
ip
f
u
n
ct
io
n
.
O
u
tp
u
t
o
f
in
f
er
en
ce
r
es
u
lt
s
o
f
ea
ch
r
u
le
is
g
iv
e
n
e
x
p
li
citl
y
(
c
r
is
p
)
b
ased
o
n
α
-
p
r
ed
icate
(
f
ir
e
s
tr
en
g
t
h
)
.
Ag
g
r
e
g
atio
n
p
r
o
ce
s
s
b
et
w
ee
n
r
u
les
is
d
o
n
e,
an
d
th
e
en
d
r
es
u
lt
i
s
o
b
tain
ed
b
y
u
s
i
n
g
d
e
f
u
zz
y
w
it
h
th
e
w
ei
g
h
ted
av
er
ag
e
co
n
ce
p
t
[
3
]
.
Su
p
p
o
s
e
th
er
e
ar
e
in
p
u
t
v
ar
iab
les,
n
a
m
el
y
x
an
d
y
,
an
d
o
n
e
o
u
tp
u
t
v
ar
iab
le
th
at
is
z.
Var
iab
le
x
is
d
iv
id
ed
in
to
2
s
ets
th
a
t
i
s
A
1
an
d
A
2
,
v
ar
iab
le
y
i
s
d
iv
i
d
ed
o
v
er
2
s
et
also
,
th
at
is
B
1
an
d
B
2
,
w
h
er
ea
s
v
ar
iab
le
o
f
o
u
tp
u
t
Z
is
d
iv
id
ed
in
to
2
s
et
th
at
i
s
C
1
an
d
C
2
.
O
f
co
u
r
s
e
t
h
e
s
et
C
1
an
d
C
2
m
u
s
t b
e
a
m
o
n
o
to
n
o
u
s
s
et.
Gi
v
e
n
2
r
u
les as f
o
llo
w
s
:
I
F x
is
A
1
an
d
y
i
s
B
2
T
HE
N
z
is
C
1
I
F x
is
A
2
an
d
y
i
s
B
1
T
HE
N
z
is
C
2
α
-
p
r
ed
icate
f
o
r
th
e
f
ir
s
t
an
d
s
ec
o
n
d
r
u
le,
r
esp
ec
tiv
el
y
ar
e
A
1
an
d
A
2
.
Usi
n
g
m
o
n
o
to
n
ic
r
ea
s
o
n
in
g
,
o
b
tain
ed
th
e
v
al
u
e
o
f
Z
1
in
t
h
e
f
ir
s
t r
u
le
,
an
d
Z
2
in
t
h
e
s
ec
o
n
d
r
u
le.
L
a
s
tl
y
b
y
u
s
in
g
w
ei
g
h
ted
r
u
le
2
.
2
.
2
.
Dec
is
io
n Su
pp
o
rt
Sy
s
t
e
m
T
h
e
d
ev
elo
p
m
e
n
t
o
f
a
d
ec
is
i
o
n
s
u
p
p
o
r
t
s
y
s
te
m
(
DSS)
b
e
g
an
ar
o
u
n
d
1
9
6
0
,
b
u
t
a
n
e
w
d
ec
is
io
n
s
u
p
p
o
r
t
s
y
s
te
m
w
as
in
tr
o
d
u
ce
d
in
1
9
7
1
,
th
at
is
i
n
tr
o
d
u
ce
d
b
y
Mic
h
ae
l
S.
Sco
tt
Mo
r
to
n
an
d
G.
An
to
n
y
Go
r
r
y
f
o
r
m
a
n
a
g
e
m
en
t
d
ec
is
io
n
-
m
a
k
in
g
p
u
r
p
o
s
es
to
cr
ea
te
a
f
r
a
m
e
w
o
r
k
u
s
in
g
co
m
p
u
ter
ap
p
licatio
n
s
.
Dec
is
io
n
-
m
ak
in
g
u
s
i
n
g
s
p
ec
i
f
ic
d
ata
a
n
d
m
o
d
els
in
co
m
p
u
ter
-
b
ased
s
y
s
te
m
s
ca
n
h
elp
s
o
lv
e
a
v
ar
i
et
y
o
f
u
n
s
tr
u
ct
u
r
ed
p
r
o
b
lem
s
.
C
o
m
p
u
ter
s
ca
n
b
e
u
tili
ze
d
b
y
t
h
e
DSS
i
n
t
h
e
d
ec
is
io
n
-
m
ak
i
n
g
p
r
o
ce
s
s
.
DSS
i
s
a
co
m
p
u
ter
-
b
ased
in
f
o
r
m
atio
n
s
y
s
te
m
t
h
at
i
s
u
s
e
d
to
m
a
k
e
d
ec
i
s
io
n
s
o
n
a
co
m
p
an
y
o
r
o
r
g
a
n
izat
io
n
.
I
n
a
n
o
th
er
d
ef
i
n
it
io
n
,
it
i
s
s
aid
t
h
at
co
m
p
u
ter
-
b
ased
s
y
s
t
e
m
s
s
u
p
p
o
r
t
in
p
r
o
ce
s
s
in
g
d
at
a
in
to
in
f
o
r
m
a
tio
n
f
o
r
d
ec
is
io
n
-
m
a
k
i
n
g
f
r
o
m
t
h
e
p
r
o
b
lem
o
f
ex
p
lic
it se
m
i
-
s
tr
u
c
tu
r
ed
[
11
].
I
n
p
r
in
cip
le,
in
m
a
k
in
g
a
d
ec
is
io
n
is
b
ased
o
n
a
p
r
o
b
lem
i
n
an
ef
f
o
r
t
to
o
b
tain
a
ce
r
tain
g
o
al.
T
h
e
g
o
al
is
to
b
e
ab
le
to
o
v
er
co
m
e
o
r
s
o
lv
e
in
ter
r
elate
d
p
r
o
b
lem
s
s
o
th
at
i
n
ca
r
r
y
i
n
g
o
u
t
it
s
o
b
j
ec
tiv
e
s
t
h
at
ca
n
b
e
d
o
n
e
ef
f
ec
ti
v
el
y
a
n
d
ef
f
icie
n
t
l
y
.
Dec
is
io
n
-
m
a
k
i
n
g
is
to
d
ef
in
e
a
s
er
ies
o
f
ac
tiv
it
ies
to
ac
h
iev
e
t
h
e
ex
p
ec
ted
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
8
,
No
.
2
,
A
p
r
il 2
0
1
8
:
1
1
8
2
–
1193
1186
r
esu
lt
s
.
Dec
is
io
n
-
m
ak
i
n
g
b
ec
o
m
es
o
n
e
w
a
y
in
s
o
lv
in
g
p
r
o
b
le
m
s
th
a
t
h
av
e
a
f
u
n
ctio
n
as
th
e
r
o
o
t
o
f
all
h
u
m
a
n
ac
tiv
itie
s
t
h
at
ar
e
tar
g
e
ted
in
d
iv
id
u
all
y
o
r
i
n
g
r
o
u
p
s
as
w
ell
i
n
s
ti
tu
t
io
n
s
an
d
o
r
g
an
iz
atio
n
s
.
I
n
ad
d
itio
n
,
d
ec
is
io
n
m
a
k
i
n
g
h
a
s
a
f
u
t
u
r
is
tic
f
u
n
ctio
n
,
w
h
ic
h
m
ea
n
s
co
n
ce
r
n
ed
w
i
th
t
h
e
f
u
t
u
r
e
ti
m
e,
w
h
ich
h
as
a
lo
n
g
s
tan
d
i
n
g
ef
f
ec
t.
T
h
er
e
ar
e
s
ev
er
al
s
ta
g
es i
n
t
h
e
d
ec
is
io
n
-
m
ak
in
g
p
r
o
ce
s
s
as
f
o
llo
w
s
[
11
]
:
a.
I
n
telli
g
en
ce
A
t
t
h
is
s
ta
g
e,
t
h
e
i
n
p
u
tted
d
ata
is
o
b
tain
ed
,
d
ata
i
s
p
r
o
ce
s
s
ed
,
an
d
test
d
ata
to
id
e
n
t
if
y
t
h
e
p
r
o
b
lem
.
b.
Desig
n
A
t
t
h
i
s
s
ta
g
e
ca
n
b
e
an
a
l
y
ze
d
to
s
o
lv
e
th
e
p
r
o
b
le
m
t
h
at
is
b
y
d
esig
n
i
n
g
a
m
o
d
el
th
a
t
ca
n
r
ep
lace
th
e
p
r
o
b
le
m
in
r
ea
l
co
n
d
it
io
n
s
.
T
h
is
s
ta
g
e
is
o
b
tain
ed
b
y
o
u
tp
u
t
i
n
t
h
e
f
o
r
m
o
f
p
r
o
b
le
m
s
o
lv
i
n
g
o
p
tio
n
.
c.
C
h
o
ice
A
t
th
i
s
s
ta
g
e,
t
h
e
ac
tio
n
ca
n
b
e
d
o
n
e
f
r
o
m
a
v
ar
iet
y
o
f
al
ter
n
ati
v
es
t
h
at
m
a
y
b
e
r
u
n
th
r
o
u
g
h
th
e
s
elec
tio
n
p
r
o
ce
s
s
s
o
it c
a
n
b
e
o
b
tain
ed
s
o
lu
tio
n
d
o
cu
m
e
n
ts
a
n
d
i
m
p
le
m
en
tatio
n
p
la
n
s
.
d.
I
m
p
le
m
e
n
tatio
n
A
t
t
h
e
s
tag
e
o
f
ch
o
ice,
s
o
l
u
tio
n
s
t
h
at
h
av
e
b
ee
n
ap
p
lied
t
o
o
b
tain
th
e
r
e
s
u
l
ts
.
Fi
g
u
r
e
3
d
escr
ib
es
f
lo
w
o
f
t
h
e
p
r
o
ce
s
s
o
f
tak
in
g
a
d
ec
is
io
n
.
I
N
T
E
L
L
I
G
E
N
C
E
(
S
E
A
R
C
H
T
H
E
P
R
O
B
L
E
M
S
C
O
P
E
)
D
E
S
I
G
N
(
D
E
S
I
G
N
T
H
E
P
R
O
B
L
E
M
S
O
L
U
T
I
O
N
)
C
H
O
I
C
E
(
C
H
O
I
C
E
O
F
T
H
E
A
C
T
I
O
N
)
I
M
P
L
E
M
E
N
T
A
T
I
O
N
(
I
M
P
L
E
M
E
N
T
A
T
I
O
N
O
F
T
H
E
A
C
T
I
O
N
)
M
a
n
g
e
m
e
n
t
I
n
f
o
r
m
a
t
i
o
n
S
y
s
t
e
m
/
E
l
e
c
t
r
o
n
i
c
D
a
t
a
P
r
o
c
e
s
s
i
n
g
R
e
s
e
a
r
c
h
O
p
e
r
a
t
i
o
n
Fu
g
u
r
e
3
.
T
h
e
p
r
o
ce
s
s
o
f
tak
in
g
a
d
ec
is
io
n
So
m
e
c
h
ar
ac
ter
is
tic
s
i
n
d
ec
is
io
n
s
u
p
p
o
r
t
s
y
s
te
m
s
ar
e:
(
a
)
p
r
o
v
id
in
g
s
u
p
p
o
r
t
in
d
ec
i
s
io
n
m
ak
i
n
g
,
esp
ec
iall
y
to
u
n
s
tr
u
ct
u
r
ed
a
n
d
s
e
m
i
-
s
tr
u
ctu
r
ed
s
it
u
atio
n
s
,
(
b
)
p
r
o
v
id
in
g
s
u
p
p
o
r
t
f
o
r
in
d
ep
en
d
en
t
d
ec
is
io
n
m
ak
in
g
,
(
c
)
im
p
r
o
v
i
n
g
th
e
ef
f
ec
tiv
e
n
ess
o
f
d
ec
is
io
n
m
a
k
i
n
g
r
ath
er
th
an
ef
f
icie
n
c
y
,
(
d
)
p
r
o
v
id
in
g
s
u
p
p
o
r
t
f
o
r
v
ar
io
u
s
d
ec
i
s
io
n
-
m
ak
i
n
g
p
r
o
ce
s
s
an
d
e
)
p
r
o
v
id
e
s
u
p
p
o
r
t
to
in
d
iv
id
u
als
a
n
d
g
r
o
u
p
s
.
T
h
e
p
u
r
p
o
s
e
o
f
d
ec
is
io
n
s
u
p
p
o
r
t
s
y
s
te
m
s
ar
e:
(
a
)
to
s
u
p
p
o
r
t
th
e
r
o
le
o
f
m
a
n
ag
er
s
to
m
ak
e
d
ec
is
io
n
s
in
s
o
l
v
i
n
g
p
r
o
b
lem
s
ei
th
er
s
tr
u
ct
u
r
ed
o
r
u
n
s
tr
u
ct
u
r
ed
,
(
b
)
p
r
o
v
id
e
s
u
p
p
o
r
t
f
o
r
m
an
a
g
e
r
s
'
d
ec
is
io
n
s
r
ath
er
th
a
n
ai
m
e
d
at
ch
an
g
i
n
g
t
h
e
m
an
a
g
er
'
s
r
o
le.
C
o
m
p
u
ter
s
c
an
o
n
l
y
s
o
l
v
e
s
tr
u
ctu
r
ed
p
r
o
b
le
m
s
w
h
ile
m
a
n
ag
er
s
ca
n
s
o
lv
e
u
n
s
tr
u
ct
u
r
ed
p
r
o
b
lem
s
.
T
h
e
r
o
le
o
f
m
a
n
a
g
er
an
d
co
m
p
u
ter
ca
n
b
e
co
m
b
in
ed
i
n
to
o
n
e
to
s
o
lv
e
p
r
o
b
lem
s
,
(
c
)
i
m
p
r
o
v
e
t
h
e
ef
f
ec
tiv
e
n
e
s
s
o
f
m
a
n
ag
er
d
ec
i
s
io
n
s
[
1
2
]
.
3.
RE
SU
L
T
S
A
ND
AN
AL
Y
SI
S
3
.
1
.
F
uzzy
T
s
u
k
a
m
o
t
o
Ca
lcula
t
io
ns
So
m
e
t
h
i
n
g
s
h
av
e
to
b
e
co
n
s
id
er
ed
w
h
e
n
p
er
f
o
r
m
ca
lcu
lat
in
g
th
e
o
p
ti
m
izat
io
n
o
f
o
r
d
er
in
g
g
o
o
d
s
u
s
i
n
g
f
u
zz
y
w
it
h
T
s
u
k
a
m
o
to
m
et
h
o
d
,
n
a
m
el
y
b
y
ar
r
an
g
in
g
m
e
m
b
er
s
h
ip
/
f
u
zz
if
icatio
n
f
u
n
ctio
n
,
d
eter
m
i
n
e
t
h
e
r
u
les/
f
u
zz
y
r
u
le
s
,
in
f
er
e
n
ce
an
d
d
eter
m
in
e
t
h
e
o
u
tp
u
t c
r
is
p
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
Dev
elo
p
men
t o
f D
ec
is
io
n
S
u
p
p
o
r
t S
ystem
fo
r
Ord
erin
g
Go
o
d
s
u
s
in
g
F
u
z
z
y
Ts
u
ka
mo
to
(
A
n
d
ik
S
etyo
n
o
)
1187
3
.
1
.
1
.
F
uzzif
ica
t
io
n
I
n
th
i
s
s
t
u
d
y
,
t
h
e
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
f
o
r
ea
ch
f
u
zz
y
v
ar
iab
le
u
s
e
s
a
tr
ian
g
le,
li
n
ea
r
d
o
w
n
an
d
lin
ea
r
r
is
e
as a
n
ap
p
r
o
ac
h
to
g
et
th
e
v
alu
e
o
f
a
d
eg
r
ee
o
f
m
e
m
b
er
s
h
ip
in
t
h
e
f
u
zz
y
s
et.
a.
S
ales
I
n
p
u
t
V
ar
iab
le
s
Sales
i
n
p
u
t
v
ar
iab
le
s
ar
e
d
iv
id
ed
in
to
3
ca
teg
o
r
ies:
DOW
N,
C
ONST
ANT
,
R
I
SE.
T
h
e
f
u
zz
y
s
et
o
f
DOW
N
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
is
li
n
ea
r
d
o
w
n
,
f
u
zz
y
s
et
C
ONST
ANT
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
i
s
tr
ian
g
le
an
d
f
u
zz
y
s
et
R
I
SE
m
e
m
b
er
s
h
ip
f
u
n
c
tio
n
i
s
li
n
ea
r
r
i
s
e.
Me
m
b
er
s
h
ip
f
u
n
cti
o
n
i
n
ea
ch
s
et
is
f
o
r
m
u
lated
in
E
q
u
a
tio
n
s
(
2
)
,
(
3
)
an
d
(
4
)
.
{
(2
)
{
(3
)
{
(4
)
Me
m
b
er
s
h
ip
v
al
u
es i
n
f
u
zz
y
s
et
DOW
N,
C
ONST
A
NT
an
d
R
I
SE
f
o
r
s
ales i
n
p
u
t v
ar
iab
les
o
f
6
1
0
p
iece
s
ar
e
as f
o
llo
w
s
:
μ
DOW
N
[
6
1
0
]
=
(
9
8
0
-
6
1
0
)
/3
8
0
=
0
,
9
7
3
6
8
μ
C
ONST
A
NT
[
6
1
0
]
=
(
6
1
0
-
6
0
0
)
/1
9
0
=
0
,
0
5
2
6
3
μ
R
I
SE
[
6
1
0
]
=
(
6
1
0
-
6
0
0
)
/
3
8
0
=
0
,
0
2
6
3
2
b.
I
n
v
e
n
to
r
y
I
n
p
u
t V
ar
iab
les
I
n
v
e
n
to
r
y
in
p
u
t
v
ar
iab
les
ar
e
d
iv
id
ed
in
to
3
ca
teg
o
r
ies:
SL
I
GHT
,
MO
DE
R
A
T
E
,
MA
NY.
T
h
e
f
u
zz
y
s
et
o
f
S
L
I
GHT
m
e
m
b
er
s
h
ip
f
u
n
ct
io
n
s
i
s
li
n
ea
r
d
o
w
n
,
th
e
f
u
zz
y
s
et
o
f
MO
DE
R
A
T
E
m
e
m
b
er
s
h
ip
f
u
n
ct
io
n
i
s
tr
ia
n
g
u
lar
an
d
th
e
f
u
zz
y
s
et
o
f
M
A
NY
o
f
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
s
is
l
i
n
ea
r
r
is
e.
Me
m
b
er
s
h
ip
f
u
n
ctio
n
in
ea
ch
s
et
is
f
o
r
m
u
lated
i
n
E
q
u
a
tio
n
s
(
5
)
,
(
6
)
an
d
(
7
)
.
{
(5
)
{
(6
)
{
(7
)
T
h
e
m
e
m
b
er
s
h
ip
v
al
u
e
in
f
u
zz
y
s
et
S
L
I
GHT
,
MO
DE
R
A
T
E
an
d
MA
NY
f
o
r
th
e
2
1
0
p
ea
ce
s
in
v
e
n
to
r
y
i
n
p
u
t v
ar
iab
les ar
e
a
s
f
o
llo
w
s
:
μ
L
E
SS
[
2
1
0
]
=
(
3
7
2
-
2
1
0
)
/
1
8
7
=
0
,
8
6
6
3
1
μ
MO
DE
R
A
T
E
[
2
1
0
]
=(
2
1
0
-
1
8
5
)
/9
3
,
5
=
0
,
2
6
7
3
8
μ
MA
NY
[
2
1
0
]
=(
2
1
0
-
1
8
5
)
/1
8
7
=
0
,
1
3
3
6
9
c.
P
u
r
ch
asi
n
g
I
n
p
u
t
Var
iab
les
P
u
r
ch
asi
n
g
I
n
p
u
t
Var
iab
les
ar
e
d
iv
id
ed
in
to
3
ca
teg
o
r
ies:
L
E
SS
,
C
ON
ST
A
NT
,
I
NC
R
E
ASED
.
T
h
e
L
E
S
S
f
u
zz
y
s
et
m
e
m
b
er
s
h
ip
f
u
n
ct
io
n
is
l
in
ea
r
d
o
w
n
,
C
ONS
T
A
NT
f
u
zz
y
s
e
t
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
is
tr
ian
g
le
an
d
I
NC
R
E
A
SED
f
u
zz
y
s
et
m
e
m
b
er
s
h
ip
f
u
n
ct
io
n
is
lin
ea
r
r
is
e.
Me
m
b
er
s
h
ip
f
u
n
ctio
n
i
n
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
8
,
No
.
2
,
A
p
r
il 2
0
1
8
:
1
1
8
2
–
1193
1188
ea
ch
s
et
is
f
o
r
m
u
lated
i
n
E
q
u
a
tio
n
s
(
8
)
,
(
9
)
an
d
(
10
)
.
{
(8
)
{
(9
)
{
(
1
0
)
3
.
1
.
2
.
I
nfe
re
nces
T
h
en
co
m
b
i
n
i
n
g
t
h
e
r
u
le
s
o
f
all
ev
en
t
s
.
I
t
is
d
o
n
e
to
o
b
tai
n
a
f
u
zz
y
o
u
tp
u
t
v
al
u
e
o
f
a
f
u
zz
y
i
n
p
u
t
v
alu
e.
T
h
e
m
ec
h
a
n
i
s
m
is
a
f
u
zz
y
i
n
p
u
t
v
alu
e
t
h
at
s
tar
ts
f
r
o
m
f
u
zz
i
f
icatio
n
t
h
en
p
u
t
i
n
to
th
e
r
u
les
t
h
at
h
a
v
e
b
ee
n
m
ad
e
f
u
zz
y
o
u
tp
u
t.
T
h
e
r
u
les t
h
at
ar
e
u
s
ed
in
p
er
f
o
r
m
i
n
g
f
u
zz
y
ca
lcu
la
tio
n
s
ar
e
as
f
o
ll
o
w
s
:
[
R
1
]
I
F Sales is DOW
N
an
d
I
n
v
e
n
to
r
y
i
s
M
A
NY
T
HE
N
o
r
d
er
in
g
i
s
L
E
SS
;
[
R
1
]
in
th
e
f
u
zz
y
r
u
le
i
s
d
en
o
t
ed
as P
1
w
h
o
s
e
f
o
r
m
u
la
ca
n
b
e
o
b
tain
ed
f
r
o
m
:
P
1
=
µSal_
Do
w
n
,
I
n
v
e
n
t_
Ma
n
y
=
m
in
(
µ
Sal_
Do
w
n
[
6
1
0
]
,
I
n
v
en
t_
Ma
n
y
[
2
1
0
]
)
=
m
in
(
0
,
9
7
3
6
8
,
0
,
1
3
3
6
9
)
=
0
,
1
3
3
6
9
B
ased
o
n
t
h
e
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
f
o
r
t
h
e
g
o
o
d
s
o
r
d
er
in
g
s
et
L
E
SS
i
n
ac
co
r
d
an
ce
w
it
h
[
R
1
]
co
n
tai
n
ed
in
f
u
zz
y
r
u
le
s
t
h
en
Z
1
ca
n
b
e
o
b
tain
ed
b
y
:
Z
1
=
7
6
5
‐
0
,
1
3
3
6
9
(
7
6
5
‐
5
8
0
)
Z
1
=
(
7
6
5
‐
2
4
,
7
3
2
6
5
)
Z
1
=
7
4
0
,
2
6
7
3
5
[
R
2
]
I
F Sales is DOW
N
an
d
I
n
v
e
n
to
r
y
i
s
MO
DE
R
A
T
E
T
H
E
N
o
r
d
er
in
g
is
L
E
SS
;
[
R
2
]
in
th
e
f
u
zz
y
r
u
le
i
s
d
en
o
t
ed
as P
2
w
h
o
s
e
f
o
r
m
u
la
ca
n
b
e
o
b
tain
ed
f
r
o
m
:
P
2
=
µSal_
Do
w
n
,
I
n
v
e
n
t_
Me
d
iu
m
=
m
in
(
µ
Sal_
Do
w
n
[
6
1
0
]
,
I
n
v
en
t_
Me
d
iu
m
[
2
1
0
]
)
=
m
in
(
0
,
9
7
3
6
8
,
0
,
2
6
7
3
8
)
=
0
,
2
6
7
3
8
B
ased
o
n
t
h
e
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
f
o
r
t
h
e
g
o
o
d
s
o
r
d
er
in
g
s
et
L
E
SS
i
n
ac
co
r
d
an
ce
w
it
h
[
R
2
]
co
n
tai
n
ed
in
f
u
zz
y
r
u
le
s
t
h
en
Z
2
ca
n
b
e
o
b
tain
ed
b
y
:
Z
2
=
7
6
5
‐
0
,
2
6
7
3
8
(
7
6
5
‐
5
8
0
)
Z
2
=
(
7
6
5
‐
4
9
,
4
6
5
3
)
Z
2
=
7
1
5
,
5
3
4
7
[
R
3
]
I
F Sales is DOW
N
an
d
I
n
v
e
n
to
r
y
i
s
L
E
SS
T
HE
N
Or
d
e
r
in
g
i
s
L
E
SS
;
[
R
3
]
in
th
e
f
u
zz
y
r
u
le
i
s
d
en
o
t
ed
as P
3
w
h
o
s
e
f
o
r
m
u
la
ca
n
b
e
o
b
tain
ed
f
r
o
m
:
P
3
=
µSal_
Do
w
n
,
I
n
v
e
n
t_
L
es
s
=
m
in
(
µ
Sal_
Do
w
n
[
6
1
0
]
,
I
n
v
en
t_
L
e
s
s
[
2
1
0
]
)
=
m
in
(
0
,
9
7
3
6
8
,
0
,
8
6
6
3
1
)
=
0
,
8
6
6
3
1
B
ased
o
n
th
e
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
f
o
r
th
e
g
o
o
d
s
o
r
d
er
in
g
s
e
t L
E
S
S in
ac
co
r
d
an
ce
w
it
h
[
R
3
]
co
n
tain
ed
in
f
u
zz
y
r
u
le
s
t
h
en
Z
3
ca
n
b
e
o
b
tain
ed
b
y
:
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
Dev
elo
p
men
t o
f D
ec
is
io
n
S
u
p
p
o
r
t S
ystem
fo
r
Ord
erin
g
Go
o
d
s
u
s
in
g
F
u
z
z
y
Ts
u
ka
mo
to
(
A
n
d
ik
S
etyo
n
o
)
1189
Z
3
=
7
6
5
‐
0
,
8
6
6
3
1
(
7
6
5
‐
5
8
0
)
Z
3
=
(
7
6
5
‐
1
6
0
,
2
6
7
3
5
)
Z
3
=
6
0
4
,
7
3
2
6
5
[
R
4
]
I
F Sales is C
O
NST
A
NT
an
d
I
n
v
e
n
to
r
y
i
s
M
A
NY
T
HE
N
Or
d
er
in
g
is
L
E
S
S;
[
R
4
]
in
th
e
f
u
zz
y
r
u
le
i
s
d
en
o
t
ed
as P
4
w
h
o
s
e
f
o
r
m
u
la
ca
n
b
e
o
b
tain
ed
f
r
o
m
:
P
4
=
µSal_
Fix
ed
,
I
n
v
en
t_
Ma
n
y
=
m
in
(
µ
Sal_
Fi
x
ed
[
6
1
0
]
,
I
n
v
en
t_
Ma
n
y
[
2
1
0
]
)
=
m
in
(
0
,
0
5
2
6
3
,
0
,
1
3
3
6
9
)
=
0
,
0
5
2
6
3
B
ased
o
n
t
h
e
m
e
m
b
er
s
h
ip
f
u
n
ctio
n
f
o
r
t
h
e
g
o
o
d
s
o
r
d
er
in
g
s
et
L
E
SS
i
n
ac
co
r
d
an
ce
w
it
h
[
R
4
]
co
n
tai
n
ed
in
f
u
zz
y
r
u
le
s
t
h
en
Z
4
ca
n
b
e
o
b
tain
ed
b
y
:
Z
4
=
7
6
5
‐
0
,
0
5
2
6
3
(
7
6
5
‐
5
8
0
)
Z
4
=
(
7
6
5
‐
9
,
7
3
6
5
5
)
Z
4
=
7
5
5
,
2
6
3
4
5
[
R
5
]
I
F Sales is C
O
NST
A
NT
an
d
I
n
v
e
n
to
r
y
i
s
MO
DE
R
A
T
E
T
HE
N
o
r
d
er
in
g
is
C
ON
ST
A
NT
;
[
R
5
]
in
th
e
f
u
zz
y
r
u
le
i
s
d
en
o
t
ed
as P
5
w
h
o
s
e
f
o
r
m
u
la
ca
n
b
e
o
b
tain
ed
f
r
o
m
:
P
5
=
µSal_
Fix
ed
,
I
n
v
en
t_
Me
d
iu
m
=
m
in
(
µP
n
j
T
etap
[
6
1
0
]
,
I
n
v
en
t
_
Me
d
iu
m
[
2
1
0
]
)
=
m
in
(
0
,
0
5
2
6
3
,
0
,
2
6
7
3
8
)
=
0
,
0
5
2
6
3
B
ec
au
s
e
th
e
g
o
o
d
s
o
r
d
er
in
g
is
C
ONT
A
NT
,
I
t
w
ill b
e
s
ee
n
d
ir
ec
tl
y
t
h
at
Z
5
=
z
=
6
7
2
.
5
.
[
R
6
]
I
F Sales is C
O
NST
A
NT
an
d
I
n
v
e
n
to
r
y
i
s
S
L
I
GHT
T
HE
N
Or
d
er
in
g
is
I
N
C
R
E
ASED
;
[
R
6
]
in
th
e
f
u
zz
y
r
u
le
i
s
d
en
o
t
ed
as P
6
w
h
o
s
e
f
o
r
m
u
la
ca
n
b
e
o
b
tain
ed
f
r
o
m
:
P
6
=
µSal_
Fix
ed
,
I
n
v
en
t_
L
es
s
=
m
in
(
µ
Sal_
Fi
x
ed
[
6
1
0
]
,
I
n
v
en
t_
L
e
s
s
[
2
1
0
]
)
=
m
in
(
0
,
0
5
2
6
3
,
0
,
8
6
6
3
1)
=
0
,
0
5
2
6
3
B
ased
o
n
th
e
m
e
m
b
er
s
h
ip
f
u
n
ct
io
n
f
o
r
th
e
g
o
o
d
s
o
r
d
er
i
n
g
s
et
I
NC
R
E
A
SE
D
in
ac
c
o
r
d
an
ce
w
it
h
[
R
6
]
co
n
tain
ed
i
n
f
u
zz
y
r
u
les t
h
e
n
Z
6
ca
n
b
e
o
b
tain
ed
b
y
:
Z
6
=
0
,
0
5
2
6
3
(
7
6
5
‐
5
8
0
)
+5
8
0
Z
6
=
(
9
,
7
3
6
5
5
+5
8
0
)
Z
6
=
5
8
9
,
7
3
6
5
5
[
R
7
]
I
F Sales is R
I
SE
a
n
d
I
n
v
en
to
r
y
is
M
ANY
T
HE
N
o
r
d
er
in
g
i
s
I
NC
R
E
A
SED
;
[
R
7
]
in
th
e
f
u
zz
y
r
u
le
i
s
d
en
o
t
ed
as P
7
w
h
o
s
e
f
o
r
m
u
la
ca
n
b
e
o
b
tain
ed
f
r
o
m
:
P
7
=
µSal_
Up
,
I
n
v
en
t_
Ma
n
y
=
m
in
(
µ
Sal_
Up
[
6
1
0
]
,
I
n
v
en
t_
Ma
n
y
[
2
1
0
]
)
=
m
in
(
0
,
0
2
6
3
2
,
0
,
1
3
3
6
9
)
=
0
,
0
2
6
3
2
B
ased
o
n
th
e
m
e
m
b
er
s
h
ip
f
u
n
ct
io
n
f
o
r
th
e
g
o
o
d
s
o
r
d
er
i
n
g
s
et
I
NC
R
E
A
SE
D
in
ac
c
o
r
d
an
ce
w
it
h
[
R
7
]
co
n
tain
ed
i
n
f
u
zz
y
r
u
les t
h
e
n
Z
7
ca
n
b
e
o
b
tain
ed
b
y
:
Z
7
=
0
,
0
2
6
3
2
(
7
6
5
‐
5
8
0
)
+5
8
0
Z
7
=
(
4
,
8
6
9
2
+5
8
0
)
Z
7
=
5
8
4
,
8
6
9
2
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
8
,
No
.
2
,
A
p
r
il 2
0
1
8
:
1
1
8
2
–
1193
11
90
[
R
8
]
I
F Sales is R
I
SE
a
n
d
I
n
v
en
to
r
y
is
MO
DE
R
A
T
E
T
HE
N
Or
d
er
in
g
is
I
NC
R
E
A
SE
D;
[
R
8
]
in
th
e
f
u
zz
y
r
u
le
i
s
d
en
o
t
ed
as P
8
w
h
o
s
e
f
o
r
m
u
la
ca
n
b
e
o
b
tain
ed
f
r
o
m
:
P
8
=
µSal_
Up
,
I
n
v
en
t_
Me
d
i
u
m
=
m
in
(
µ
Sal_
Up
[
6
1
0
]
,
I
n
v
en
t_
Me
d
iu
m
[
2
1
0
]
)
=
m
in
(
0
,
0
2
6
3
2
,
0
,
2
6
7
3
8
)
=
0
,
0
2
6
3
2
B
ased
o
n
th
e
m
e
m
b
er
s
h
ip
f
u
n
ct
io
n
f
o
r
th
e
g
o
o
d
s
o
r
d
er
i
n
g
s
et
I
NC
R
E
A
SE
D
in
ac
c
o
r
d
an
ce
w
it
h
[
R
8
]
co
n
tain
ed
i
n
f
u
zz
y
r
u
les t
h
e
n
Z
8
ca
n
b
e
o
b
tain
ed
b
y
:
Z
8
=
0
,
0
2
6
3
2
(
7
6
5
‐
5
8
0
)
+5
8
0
Z
8
=
(
4
,
8
6
9
2
+5
8
0
)
Z
8
=
5
8
4
,
8
6
9
2
[
R
9
]
I
F Sales is R
I
SE
a
n
d
I
n
v
en
to
r
y
is
SL
I
G
HT
T
HE
N
Or
d
er
in
g
i
s
I
NC
R
E
A
SED;
[
R
9
]
in
th
e
f
u
zz
y
r
u
le
i
s
d
en
o
t
ed
as P
9
w
h
o
s
e
f
o
r
m
u
la
ca
n
b
e
o
b
tain
ed
f
r
o
m
:
P
9
=
µSal_
Up
,
I
n
v
en
t_
L
es
s
=
m
in
(
µ
Sal_
Up
[
6
1
0
]
,
I
n
v
en
t_
L
es
s
[
2
1
0
]
)
=
m
in
(
0
,
0
2
6
3
2
,
0
,
8
6
6
3
1
)
=
0
,
0
2
6
3
2
B
ased
o
n
th
e
m
e
m
b
er
s
h
ip
f
u
n
ct
io
n
f
o
r
th
e
g
o
o
d
s
o
r
d
er
i
n
g
s
et
I
NC
R
E
A
SE
D
in
ac
c
o
r
d
an
ce
w
it
h
[
R
9
]
c
o
n
tain
ed
i
n
f
u
zz
y
r
u
les t
h
e
n
Z
9
ca
n
b
e
o
b
tain
ed
b
y
:
Z
9
=
0
,
0
2
6
3
2
(
7
6
5
‐
5
8
0
)
+5
8
0
Z
9
=
(
4
,
8
6
9
2
+5
8
0
)
Z
9
=
5
8
4
,
8
6
9
2
3
.
1
.
3
.
Def
uzzif
ica
t
io
n
T
o
g
et
th
e
o
u
tp
u
t
v
al
u
e
(
cr
is
p
)
is
to
co
n
v
er
t
t
h
e
in
p
u
t
i
n
t
o
a
n
u
m
b
er
o
n
th
e
f
u
zz
y
s
et
d
o
m
ai
n
o
r
d
ef
u
zi
f
icatio
n
.
Hav
i
n
g
o
b
tain
e
d
th
e
v
al
u
e
o
f
P
i,
th
e
n
th
e
n
e
x
t
w
il
l b
e
d
o
n
e
th
e
ca
lcu
la
tio
n
p
r
o
ce
s
s
o
f
th
e
v
al
u
e
f
o
r
ea
ch
co
n
s
eq
u
e
n
t
r
u
les
(
Z
i)
i
n
ac
co
r
d
an
ce
w
it
h
t
h
e
m
e
m
b
er
s
h
ip
f
u
n
ct
io
n
u
s
e
d
.
T
h
e
m
et
h
o
d
o
f
d
ef
u
zi
f
icatio
n
in
t
h
e
T
s
u
k
a
m
o
to
m
e
th
o
d
is
t
h
e
C
e
n
ter
A
v
er
a
g
e
Def
u
zz
y
f
ie
r
th
at
i
s
d
ef
lecte
d
b
y
:
(
1
0
)
So
th
e
n
u
m
b
er
o
f
o
r
d
er
in
g
g
o
o
d
s
f
o
r
n
ex
t
m
o
n
t
h
is
6
4
3
w
i
th
s
ales o
f
6
1
0
an
d
2
1
0
in
v
en
to
r
y
.
3
.
2
.
I
m
ple
m
ent
a
t
io
n o
f
Dec
is
io
n Sup
po
rt
Sy
s
t
e
m
w
it
h T
s
u
k
a
m
o
t
o
M
et
ho
d
I
n
th
e
i
m
p
le
m
e
n
tatio
n
o
f
th
i
s
d
ec
is
io
n
s
u
p
p
o
r
t
s
y
s
te
m
,
T
s
u
k
a
m
o
to
m
et
h
o
d
is
ap
p
lied
b
y
u
s
in
g
a
p
r
o
g
r
am
m
i
n
g
la
n
g
u
a
g
e
to
d
et
er
m
in
e
t
h
e
a
m
o
u
n
t
o
f
t
h
e
g
o
o
d
s
o
r
d
er
in
g
b
ased
o
n
s
ale
s
an
d
i
n
v
e
n
to
r
y
d
ata.
T
s
u
k
a
m
o
to
m
et
h
o
d
ca
n
b
e
ap
p
lied
w
ell
in
th
e
ap
p
licatio
n
o
f
d
ec
is
io
n
s
u
p
p
o
r
t s
y
s
te
m
to
d
e
ter
m
i
n
e
t
h
e
a
m
o
u
n
t
o
f
o
r
d
er
in
g
n
ex
t
m
o
n
th
.
T
h
e
f
o
llo
w
in
g
is
a
v
ie
w
o
f
th
e
d
e
v
elo
p
ed
s
y
s
te
m
ap
p
licatio
n
as
s
h
o
w
n
i
n
Fi
g
u
r
e
4
an
d
Fig
u
r
e
5
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
Dev
elo
p
men
t o
f D
ec
is
io
n
S
u
p
p
o
r
t S
ystem
fo
r
Ord
erin
g
Go
o
d
s
u
s
in
g
F
u
z
z
y
Ts
u
ka
mo
to
(
A
n
d
ik
S
etyo
n
o
)
1191
Fig
u
r
e
4
.
Me
n
u
o
f
t
h
e
d
ev
elo
p
ed
s
y
s
te
m
ap
p
licatio
n
I
n
th
e
d
ev
elo
p
ed
s
y
s
te
m
,
th
er
e
ar
e
s
ev
er
al
m
e
n
u
s
w
h
er
e
t
h
e
m
a
in
d
is
c
u
s
s
io
n
in
t
h
is
p
ap
er
is
Fu
zz
y
I
n
f
er
e
n
ce
S
y
s
te
m
(
FI
S)
m
e
n
u
to
d
eter
m
i
n
e
t
h
e
n
u
m
b
er
o
f
s
u
b
s
eq
u
e
n
t
o
r
d
er
in
g
g
o
o
d
s
u
s
i
n
g
T
s
u
k
a
m
o
to
m
et
h
o
d
.
Fig
u
r
e
5
illu
s
tr
ates
t
h
e
u
s
er
i
n
ter
f
ac
e
o
f
ap
p
ly
in
g
th
e
F
u
zz
y
T
s
u
k
a
m
o
to
alg
o
r
it
h
m
to
th
e
d
ev
elo
p
ed
s
y
s
te
m
ap
p
licatio
n
.
Fig
u
r
e
5
.
User
in
ter
f
ac
e
o
f
th
e
f
u
zz
y
ts
u
k
a
m
o
to
ca
lc
u
latio
n
3
.
3
.
T
esting
M
ea
n Squ
a
re
E
rr
o
r
(
M
SE
)
T
h
e
ac
cu
r
ac
y
o
f
d
ata
test
i
n
g
c
an
b
e
s
ee
n
b
ased
o
n
th
e
M
SE
th
at
is
o
b
tai
n
ed
f
r
o
m
ea
ch
m
et
h
o
d
.
MSE
is
a
m
et
h
o
d
f
o
r
an
al
y
zi
n
g
o
r
m
ea
s
u
r
in
g
d
ata
er
r
o
r
s
.
T
h
e
MSE
m
eth
o
d
i
s
u
s
ed
to
d
eter
m
in
e
th
e
b
es
t
d
ef
u
zz
i
f
icatio
n
m
et
h
o
d
s
.
T
h
e
f
o
llo
w
i
n
g
is
t
h
e
co
m
p
ar
i
s
o
n
r
esu
l
t
u
s
i
n
g
t
h
e
T
s
u
k
a
m
o
to
m
et
h
o
d
ca
lcu
lat
io
n
w
it
h
t
h
e
o
r
d
er
in
g
g
o
o
d
s
d
ata
t
h
at
f
o
u
n
d
i
n
r
esear
ch
o
b
j
ec
t
w
h
ich
w
ill b
e
p
r
esen
ted
in
T
ab
le
1
.
B
ased
o
n
th
e
co
m
p
ar
i
s
o
n
ab
o
v
e
ca
n
b
e
co
n
c
lu
d
ed
th
a
t
t
h
e
m
an
u
al
p
r
ed
ictio
n
o
n
t
h
e
co
m
p
an
y
co
m
p
ar
ed
to
th
e
ca
lcu
latio
n
u
s
i
n
g
th
e
m
e
th
o
d
h
as
an
er
r
o
r
o
f
0
.
2
0
8
1
5
.
So
it
ca
n
b
e
co
n
clu
d
ed
th
at
th
e
m
et
h
o
d
s
o
n
th
i
s
s
y
s
te
m
ca
n
wo
r
k
w
ell
a
n
d
ca
n
b
e
ap
p
lied
in
r
esear
ch
o
b
j
ec
t.
Evaluation Warning : The document was created with Spire.PDF for Python.