Optimalisasi K-MEDOID dalam Pengklasteran Mahasiswa Per Beasiswa dengan CUBIC CLUSTERING CRITERION | Defiyanti | Jurnal Teknologi dan Sistem Informasi 222 996 1 PB

(1)

!

"#

) * + !

,

+

"

) * + !

,

+

"

) * + !

,

+

"

) * + !

,

+

"

-_{) *} _{. / 01} _{1 1 2 *} ₊ ₃

# # # 4 #1 1 1 5 6 " 7 " + "

/ 8 2 "" + 1 1#0 7 1 + "

* 9* * "

* 9* * " 9 " 69 " 69 " 69 " 6 1. 1. 1. 1. **** : : : : " 9*" 9*" 9*" 9* * * * * 9* 9* 9* 9* * * * * " 6" 6" 6" 6 7777

* + * * 1. ; " . <,,)= > 1 " * . 9* * 9 1 1 . " *

* + * * 1. ; " . <,,)= > 1 " * . 9* * 9 1 1 . " * " 7" 7" 7" 7

1. 9 . .

1. 9 . . . , " 1. , " 1. , " 1. , " 1 """" * * * * 9* 9* 9* 9* * * * * 9999 9999 **** .... .... ****

9* * 9 9 1 * " 1 " + . 7 1 "

9* * 9 9 1 * " 1 " + . 7 1 " ''''7 . 9 1 7 . 9 1 7 . 9 1 7 . 9 1 """" """" **** **** 7 7 7 7 '''') . . ) . . ) . . ) . .

* . 7 .

* .* . 77 ..

* . 7 . .... * " 1* " 1* " 1* " 1 " 9" 9" 9" 9 71 9 . >!71 9 . >!71 9 . >!71 9 . >! .... . . . . **** 4 4 4 4 * .* .* .* .

7 . * 6 . 6 6 1 . " * . * 9 . 7 . . "

7 . * 6 . 6 6 1 . " * . * 9 . 7 . . " 1111 """"

+ * + * + *

+ * '''') .) .) . . ) . . . . .... 7777 . . 9 . 9. . 9 . 9. . 9 . 9. . 9 . 9 : : : : " ." ." ." . . 9 . 9. 9 . 9. 9 . 9. 9 . 9 **** **** 9 9 9 9 * * * * . ". ". ". " * 6* 6 1* 6* 6 111

?17 9 ? 1 " ? <???= . + * * 9 . 9 * . 991 * 1 * "

?17 9 ? 1 " ? <???= . + * * 9 . 9 * . 991 * 1 * " 1111 " + *" + *" + *" + *

6 1 %@ + * * 6 1 * 6 9 . 9 . * + * 6 1 ??? 7 + * + * * 9

6 1 %@ + * * 6 1 * 6 9 . 9 . * + * 6 1 ??? 7 + * + * * 9 . 9. 9. 9. 9

* 6 . * " . 1 * 7 9 1 * 6 1 9* 71 * 6 6 1

* 6 . * " . 1 * 7 9 1 * 6 1 9* 71 * 6 6 1 **** * * * *

! " " # "

!! "" "" ## ""

! " " # " """"

$ A ,,,, + + + + 1111 #### * 1 7* 1 7* 1 7* 1 7 1111 7777 0000 " . 7" . 7" . 7" . 7 #### #### .... * +* +* +* + * 1 7* 1 7* 1 7* 1 7 + + + + """" ....

. * 7 + " . 7 # * " . " , 1 , 0 ) * + <,,)= ! " # . * +

7 + 7 "1 1 1#

7 + 7 "1 1 1# 1#1#1#1# * +* +* +* + " 7 * # ." 7 * # ." 7 * # ." 7 * # . 7777 "#"#"#"# 1 . # 7 * #1 . # 7 * #1 . # 7 * #1 . # 7 * # """" """" ####

* + 7 + . 1. *# * # 1 * . 1# 7 + #*1 1 7 +

* +* + 77 + + .. 1. *#1. *# * #* # 1 * .1 * . 1#1# 77 + #*1 1 + #*1 1 77 + +

* + 7 + . 1. *# * # 1 * . 1# 7 + #*1 1 7 +

,,) ! " # 71 . . #1# .

,,) ! " # 71 . . #1# . """" ""1""1""1""1 #### # # # 1 # # # 1 # # # 1 # # # 1 " 7 7 " 7 7 " 7 7 " 7 7 1 .1 .1 .1 . """" """" '''' ) . .

) . . ) . .

) . . ''''.... " . ." . ." . ." . . 1 1# .1 1# .1 1# .1 1# . #1##1##1##1# """" #### .... .... 71717171 !!!! ""1 """1 """1 """1 " " 1 ." 1 ." 1 ." 1 . 01010101 ****

"* " 1 .

"* "* " 1" 1 ..

"* " 1 . ''''.... " . ." . ." . ." . . #### " 7" 7" 7" 7 """" .... #### " 1 ." 1 ." 1 ." 1 . """" """"

7 0 1* ) # . #1# " 71 * # 1 1 . " . . . #1# " # . "

7 0 1* ) # . #1# " 71 * # 1 1 . " . . . #1# " # . " '''') . . ) . . ) . . ) . .

7 " . " . . . #1# # . # 1

7 " . " . . . #1# # . # 1 .... " . ." . ." . ." . . #1##1##1##1# # .# .# .# . # # # # #### " #" #" #" # " . #1#" . #1#" . #1#" . #1# . .

. . . .

. . ?17 9 ? 1 ?17 9 ? 1 ?17 9 ? 1 ?17 9 ? 1 " ?" ?" ?" ? <???=<???=<???=<???= .... """" # . # # 1 1*# . # # 1 1*# . # # 1 1*# . # # 1 1* .... . #. #. #. # 7 # .7 # .7 # .7 # .

# " . " # . " %@ . "

# " . " # . " %@ . " 71 71 . 71 71 ... # . # # 1 1*# . # # 1 1*# . # # 1 1*# . # # 1 1* 1 01##1 01##1 01##1 01## ????????????

7 . . 1 01## 7 *+ . # . # # 1 1* 1 # " " 7 # 8

. # # 1 . 71 # " *

#1 9 7 +

#1 9 7 + #### '''') . . ?17 9 ? 1 ) . . ?17 9 ? 1 ) . . ?17 9 ? 1 ) . . ?17 9 ? 1 " ?" ?" ?" ? <???=<???=<???=<???=

! 85;5

, + 1 # 1 0 " " . 7 # # . 0 1 * + 7 " 7 1 7 7 0

, + . 7 # 1 1# "# # * + 7 # #1 #1 # #1 #1 1 1

# #1 #1 6 7 7 " * + ! 7 7 + 01" # 101 1 1#

"1 " 01 * * + " 1 1 #1 * # . # 1 7 . . # "# # #

. # 7 0 . "1 1 ""

! * 1 1 * . " 91 # . 5 . "'1 . " # * "1 #

7 7 + 7 " " 7 . 7 1 7 . . # 7 " * + " # # 7

# 1 #

, + " . 7 # # . # 1 " 7 #1 . 7 + 01" #

1 ' 1 " 1. * . 1# ! 7 + 7 1 7 0 . 1# 7 . #

= ) * + " " 1 " . # 1

= ) * + " #

= ) * + " # ! " ""

(2)

, # # 7 + 7 1 7 0 * + . " 01 * #1 7 .

. 7 + " 7 # 7 7# # 1 7 " * #' * # 1 1 1# #

7 +

" # # # . 7 1 . " # * + " 7 * #

7 + * + " . 7 "# . * + " . # 7 * # 7 +

101 . . * 1 1# " ## 7 + 0 . " 71 * # 1 #

. #1# * . * " # " * . #1# . " ""1 # ?17 9 ? 1 "

? 1 1# " *1 " 7 * 7 #

/ 5 !5

%

9 . * # . * 7 " 1 1 7 1 . " 9 1

1 1 . 01 * . " " 7 B C # " 01" . 71 7 " &

< = . * # " " 1 "1 1 # . * 1 1# 1#

# 1 1 *171 " . . 7 1#1 7 B C

# . * # " 1# " # . . . 01 * 7 . . .

. 1 % # 7 # . " 7 . " 1 D

1 # # # # & . # 1

"# "" 1 # . .1#1 " * 1 # "

# B%C # . . # 7 " 1# ' .

. ! 1 " ! " . 1# * 1 1* . 71

7 # # 1 1 " 7 # 1 1 " 9 # " . 71 1*# . 01 * 7 B@C

# # . " 7 " 7 #1

" 7 *171 " . " 1 1 1 " 71 . . 1 " . #

. # *1 7 1

" 7 ""1 # . " " 7 , . " 7 . "1 # 1 1# 71

* 7 * . 9

" 7 "1 1 1# 71 # 1 1 " # 1 . " B C

% # . 7 " 0 . 7 7 # # 7 . # 1" " . . #1# 1

#

# . " . 9 . * " 9 7 9 9 1 1# "" 7 # .

# 9 . 1 " " . . . 7 " 9 * 1" "1 1 1 1 "# . # .

1# # " 1 # 7 *+ " . # 91#1 # . # . .1#1 " .

* . # . . # 9 . 1 " " 7 # # 1 "# 0 1 1#

1 1 1 # 9 . 1 "

* . " # # # 91 6 7 " 7 * # * 1 # . . # *

# " ) . . 7 "1 ""1 # "# " . # . 6 7 " 7 "

. # 01 . 0 1 7 #1 . 6 7 " . 71 7 . #

6 7 . # 7 " 9 * # . #1# # . * # . 1 * #

7 . # 1 1 0 # . # 7 7 . . 6 . 1 . * 8171 " #

. * # . 6 7 . # . 7 0 # "* # . ) .

" . * # . . "1 # 1 1# # 1 7 1 ! . #

! . # * . " # # . # 91 7 *+ . . # . * # . .

" # . " , 7 . . # # " . "1 # . # # . . 1

. "1 # <1 1# # . " = 1 1# . #

% #

# # . " 6 7 # " 7 " 9 * "" " . . . *#

. # " 1 . "" . . " . . . *

@ ! "#

! "# 1 # " # " 1 * # . 7 1# #

70 # ' 70 # " # # 1 . * #1 1 " # # 1 . "

" . # # . # . " . # 1 ! "# 7 7 .

. " # # 1 . # . 6 7 " . "# ! "# . # 9 7 1 1#

#1# # # " . # . 6 7 " # "

(3)

# # " # # <* " = " # . 1 # # # 7

# . "# # . " . # # # 7

&

1" . # . * 1# 71 " 1 91 . 1 + # 1 .1

7 7 * 1 1 . 71 # 0 " 7 0 B&C

'

? 1 # 1 . * * 1 7 1 . . " " 7 101 " ## 70 #'

70 # # . . * # # 1 #1 1 70 # ' 70 # . " 1

. 9 1 " . . * . 70 #' 70 # " 7 7 . 9 1 70 # # . # ## #

. 1 1 7 * 9 1 * "" 70 # ' 70 # " 7 . . 1 9 1 # 1 # "

"" 1 . " 70 # ' 70 # . # ## 7 . # # # # 70 #

. 9 1 " . # # # . # . 9 1 " 7 7 . 70 # 7

. * . ' 71 " 0 # 70 # . . "# 70 # ' 70 # . 7 . #

7 " 71 * # . 1 " 1 .

" ""1 # # 1 . " . # . * " . 1# ' . 71

9 # 1 1* . 1# # # " # 71 ' 71 . . " 7

# 1 * . #1 # . . ' . 1 1 1# 9 1 . 7 . 7 1#1 7

9 # . , 7 # 71 1* # 1 . # 1 # 7 # 1 1 1#

" 71 " 7 7 . 1 " . " "" " . " 1

. . . 0 *# . " 1. *

> 7 ? * B C

. 1 101 . . . * 1 1# # ( & " . .

" . 1 1 7 1 * # 6 . . 1 1 . # #

6 B C

! . 1 1 . .1 . # 1 . # . . # * #

. " . # 1 # " # . . 1 # # 7 # 1. . 7 " 0 .

7 7 # # " 7 * # 9 ? * . . " . # . *

. " . # * # 1 " . 71 . " ) " ## . . "

"" 71 "# "' " 1 . 6 .1 . . 0 . ? * .

. " . # * # . * # & ) B(C

* "

" # * . 1 # 70 # " " 7 1 "# 9 17 "" ""1

. 71 . BEC

, 7 . . " # " # . # 1# ' . 70 # . 7 " # 91

""1 # # < . = " 1 # 70 # " " # . 1 71 * 9 1 "

. # . * . . #1# 7 . # # 01 * . # . #

70 # . # 91 " 1 < . .= 8 1 # . . . #

" . . " # . * 1 1# 1# . 70 # . " 7 * . *1 1

1# 70 # + <# = 9 9 # 7 " + # 1 1# 70 # "

. # # . " . . " " ) . # ""1 # 70 # 7 " # "

0 . 91 . 71# D 70 # . . * #1 9 . . " # " 7

1# 01 * " # . * 1 01 * 70 #

" # B%C . * 7 " 7 #1

1 11

1 01 *

. . " 71 * 70 #

1 1 1 1 1 1

(4)

%

9 9 # * 70 # . 7 " # 91 F

2 22 2

# 70 # " # . . " . . " " . # F

! * 9 9 # 70 # ' . . . F

% 8 1 " 0 # . 1# 70 # 0. " . F

@ / # G # 1. 1# 0. " . 1 1# 7 1# 7 1 . .F

& 5555 . # . 17 * B C

) ! ;

) . " . "1 # . ""1 # ?2 !' ) . # B C

B C " 7 # . > 7 7 #1

> 7 ) . ? ' )B C

' +

,1 1 . . " 1 # * + . . ?2 ! ' ) 71 1 . . " #

. #1# 1 101 . " . # # . # " 1 1# 9 101 "

* . #

7 % +

* . 1# 101 " # . 9 # 1# # . 1 . . " . . 1 . . " #

. #1# "1 1 . " . . . 7 " # . # " "1 1 7 + * +

9 % ,

* . . . " # . # 1 1# # . . ! . * # . #1#

. 7 1 7 * . " . . # . #

.

* 1 . # 1# # * . " . # . # # # 9 1 " 1

" ' . .

-&

* . " . * # ""1 # " ') . . # # . #1# 6 1 . " "* 1 "

917 9 9 1 9 . . " . * # * "" . . # *1 " 7 * 7 #

% #

* * 6 1 . #1# # # . #1# * " 7 *171 " . " 1

" *1 7 1 " 01 # . # # . " 101 ' 101 " " . 9

8 ;! ;

, # # '

101 7 " " . 9 . * " # 7 + " . . " # # 1 "

7 * # . 7 "# . " . # 7 * # 7 +

101 " " . 9 . * " *1 0 . " 7 # . " ## 7 +

(5)

@

, # # %

! "1 1 . . #1# . " 9 . 7 + ,,) " . . #1 1 9 1

. "# *1 ( "# *1 . . 7 # & . * + " " 01#

7 + ,,)

71 " . . . * !) ! . " 1 . 01 * ""1 " " 1

1 71 " . . * 71 !) " . # # . #

" . . # . . 7 7 1# . " . . 7 " . . "

0 "# 1 " 7 7 . . 71 ) # # . #1# 9 7 . " 7 " 0 . " 71 *

# 1 ""1 # . " . . # # . # * . 71 "* " 1 .

. " #* # . #1# # . # 9 # 1 1* . . " . .

7 71 . 0 .

71 . ? *

!) # % % (&

" @

! 2 &@

% " &

@ ! . " 1 " 2 @

& /1 * ""1 " " %

, %

" . . " .1 " " 6 1 ) # # . #1# " #*1 1 1 1# " 6 1 1

""1 # 1 B@ &C . " ""1 # 1 1 1 1 . . ' . 71

" " .1 " " 6 1 H 1 71 "* " 1 . " 2 ( @ ' 0 # . .

" * " . 71 "* " 1 # # . # . " ' 71

=

ℎ ℎ

ℎ

< =

=62208900

36 = 1728025

#1# " 71 * # * . . . " * . . H 1 # """1 # .

. . " * . . # .1 . #1# # . # * . 71 "* " 1 . .

# # " # . #1# # 1 1* # . #

. # # 1 1* 71 . #1# . " ""1 # # # " # 1 ' . "

" ## 0 . # # 1 1# "' " 71 . 7 ! " #

0 . # # . #1# " . # # 1 71 . " 71 " * "" . 1

71 " . # 1 . # ## 0 . # #

7 . # 71

71 . #

(% D E I # " @ D I # " & D & I # "

D % I # " %

! "* " 1 2 % D 2 I " %

2 ( @ D 2 @ I # "

2 D &(& I "

2 % D 2 @ I "

! ( D % I # "

D % I # " D @ I # " &% D E I # " %

/1 * ""1 " " 1 D I # "

I # " . I # " %

I # " I # " % I # " % ' @ I # "

(6)

&

# " # " # . #1# # # "* # " 71 * .

# # . # 7 " # . # # 1 1* . . < 71 " . # . # " # =

, #

! . # . . 71 . " ""1 # "# 1 # ! . # *

. " 7 1 " # B C B &CDB (CB &CB CB CB (C

" "" "

% # . # 7 "

8 . . #' . . . " # # . # 7 " 1 71 "* " 1 .

* . 7 ! . * 9 1 " . " ""1 # . " . # . # 7 "

. . * 9 1 7 . 9 1 7 ( . . "# 9 1 . . @ . *

" * . . 2) . 6 . "' " 9 1 # " # 9 * "" 9 1

" 7 1# 91#1 * "

7 8 # # . # 7 "

? 1 1

? 1 ? 1 ? 1

? 1 4 J14 J14 J14 J1 9999 2)2)2)2) .... 6666

( &

( (

@ &

% # . # # 1 1*

8 . . #' . . . " # # . # # 1 1* * . 7 % ! . *

9 1 " . " ""1 # . " . # . # # 1 1* . . * 9 1 7 ( . 9 1

7 . . "# 9 1 . . ( . * " * . . 2) . 6

. "' " 9 1 # " # 9 * "" 9 1 " 7 1# 91#1 * "

7 % 8 # # . # # 1 1*

? 1 1

? 1 ? 1 ? 1

? 1 4 J14 J14 J14 J1 9999 2)2)2)2) .... 6666

( &%E

(%

( E

% .

8 . . #' . . . " # ""1 # . * . 7 @ ! . *

9 1 " . " ""1 # . " . # . # 7 " . . * 9 1 7 E . 9 1

7 ( . . "# 9 1 . . & . * " * . . 2) . 6 .

"' " 9 1 # " 7 0 # . 7 . "# . " 9 "

1 01## 7 *+ * 9 1 " 7 1# . # * " 8 . 7 7# # . 7 7

(7)

7 @ 8 # .

? 1 ? 1 ? 1

? 1 1111

? 1 ? 1 ? 1

? 1 4 J14 J14 J14 J1 9999 2)2)2)2) .... 6666

E @ E %

( &&

& E@@ @

-&

6 1 ""1 # ?17 9 ? 1 " ? <???= ??? 0 # 7 . " #

" 2 . " . # * . 2 B ECDB C ??? . . * 1 " . " 1 1 . "

7 1

= ln [1 − $%&

'₍

1 − &' ]

%*+∗

' ( -.

%0.001 + $%&'₍₍' < =

2 I # " " . . 0 # " 7

<2 = I * . 2

I /1 * "

-_G _{I 01} _* _{17 *}

??? . . * . 7 &

7 & ! . # ???B C

??? ! . #

KI D , #

D !

G ) 1 01## . 9

. . * . 7

7 8 ???

# . # 7 "

# . # # 1 1*

??? ' (@@ %@

% #

8 . # " 9 " * . #1# # 01 * "" " 7 7 . 9 1 . "

9 " . . * . 7 7 % . 7 @ ! 7 . 01 * "" 1 . 9

1 . " 9 " . 7 7# # . " ' . . # # * " . "

" ' 1 6 * . * + * "" 0 # + " . 1# 9 9 #

# # 7 1# 9 1 " 7 7 . B C

6 1 " * . #1# . " "* 1 " ?17 9 ? 1 " ? <???= . . 9 1 " 7 #

. * 9 1 . " . " . # . # # 1 1* ??? 1 # " . "1 # 1 1# *

# " " . * # . 9 1 # . # # 1 1* 1 01## ??? 7 . .

1 01## 7 *+ . # . # # 1 1* 1 # " " 7 # * 01"

. .1#1 " . " 2) . 6 " # # 9 " . # 7 *+ 9 1 " . . . *

* " 8 . # # 1 . 71 # " * . "# .

(8)

(

)!5;

7 1# " 71 * " # 1 1# . " 01 7 + ,,) " . . # #

# # . 7 "# . # # 7 + , . # * 6 1 " * . #1#

. " "* 1 " ?17 9 ? 1 " ? <???= . . 7 *+ . . " # . # # 1 1* .

. # 7 # . # " . " # . " %@ " . #

7 # * . 7 7# * # " . . 71 . 01" . .1#1 " . " 2) . 6

" # 9

5? ! 2 ) 8

# * . 7 # # . 4 #1 1 1 5 ;!!) 5 . 1 " 7

2 4 2

B C ! / . ! "" . 7 " L, + "# # . # < = . 7 1 7 0 * +

<77 = M

B C ! , ' 6 % . # ! " 6 ) 9 %

B C , % / , # % '

B%C / 8 / ! . ) 7 % ! / 0 6 9 9

B@C 8 3 4 # . ) 8 % ! , 1 / / 0 6 9 9

B&C 1 . ;1 * # # ! 7 .

B C " L! " ') 1 1# ? 1 " "" ! . , 0 * 71 NHO M

B(C H1 1 . 8 0 . L! . # " ) . 9 ? 1 " ? 1 + 2 " M 6 * ED%@

BEC 8 ! # L ' ' # " * ' . . ? 1 " . ! 9 M. # ? * @D ( (

B C 1 1" L 9 9 #') . ') . . " * ? 1 " 7 ! M$ 2 #

/ 3 46 @ * @(D &%

B C ; 1 " . ! )1 # L 1 6 + ." 9 6 . ) " 9 . M/ - 5 & 6

* &

B C 2 3 * L?2 !' ) + . . . ! 9 ) . ) " M, 6 $ ,

% & % %E@E * ED E

B C > ) 9 P ) 7Q . ? 4 Q . R L 1 6 . " . # + ." . 9 6 9 . . * . " M/

- 5 & 6 @ * D &&

B %C 2 .* 3 * . 1 L! 1# ) 5 " * . 21 * ) ""1 # 1 + # 7

, "" " M2 $/. 5/6 * % D%

B @C ; ) . 1 " * 3 8 1" * / ) # 4 ) . 5 , + 0 L 1. " ) . ? ? ;

7 6 ? . 4 + . 5 9 . ) 1 5 1# ) " 8 " " ! ) ) ! .

; " 1. M2 . 6 * E

B &C , . )1#* * L 0 " > , 9 ? . ?1 1 1# ? 1 " M # 6 * D ( @

B C 31 . 21 " . + L! " # 71 S , . # . ! ) ""1 # ) .

) . . M . 6 E * % D%E &

B (C 3 L " ') . . 5 1# ! 1 " ! M. # 6 & * ( D (( @

B EC ? , ? H1 3 1 " . 31 L 6 1 ? 9 . 1 4 9 9 ? " ?* ? 5 " *

) M # , # - 6 & &

B C 4 * . . ) L ) . . ') " * , " ? 1 " M 6 & % * ED &

B C 2 / , . 9# )1 R'2 . ) / 2 L 991 9 9 1 " * . " 1 . 71 . 7 ! * " 9 9 M

, $--- , - . / # % 6 &D/1 ?99 &

B C * . 1 2 * L! " # + * . . . " " 7 . 1 1 1 . 7 . " # "

# 1 # * . 1 * M @

B C ; "1 O *1 T " . , N " L2 9* ' . . 9 1 " " * 7 . . . . 9 "