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    LOGIKA FUZZY

    Dr. A.A. Ngr. Gunawan,MT

    2015

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    Logika fui

    A!a"a# $%&o!o"ogi 'i'&i$ kon&ro"(%$%)a#an $a'a"a#.

    Da"a$ "ogika k"a'ik #an*a $%$(un*ai!ua k%$ungkinan, Ya a&au Ti!ak,+%nar a&au 'a"a#, +aik a&au +uruk.%$ua k%anggo&aan $%$(un*ai

    ni"ai 0 a&au 1.

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    Logika fu* $%$ungkinkan $%$i"ikik%anggo&aan +%ra!a !ian&ara 0 !an1. +i'a $%$(un*ai !ua ni"ai Ya !an

     Ti!ak, -%nar !an a"a#, -aik !an-uruk '%)ara +%r'a$aan.

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    Fung'i K%anggo&aan KU/ALINI

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    FUNGI KANGGOTAANF33

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    4on&o# 1

    Fung'i k%anggo&aan un&uk #i$(unanNAIK (a!a aria+%" (%r$in&aan'%(%r&i &%r"i#a& (a!a ga$+ar

    !i+awa# ini. -%ra(a !%ra6a&k%anggo&aan 72 (a!a #i$(unanNAIK &%r'%+u&8

    F93: f723 : 72;253 < 75;253: 0,=

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    GAFIK KANGGOTAAN KU/A

    LINI TUUN

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    4on&o# 2

    Fung'i k%anggo&aan un&uk #i$(unan TUUN (a!a aria+%" (%r$in&aan'%(%r&i &%r"i#a& (a!a ga$+ar

    !i+awa# ini, +%ra(a !%ra6a&k%anggo&aan 20 (a!a #i$(unan

     TUUN &%r'%+u&8

    F93 : f203 : 70;203 < 70 > 153 :0,??=

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    GAFIK KANGGOTAAN KU/A

    GITIGA

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    13/1134;3 < 4;-3 -@: @:

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    4on&o# 7

    Fung'i k%anggo&aan un&uk #i$(unanDINGIN (a!a aria+%" &%$(ra&urruangan '%(%r&i &%r"i#a& (a!a ga$+ar

    !i+awa# ini, +%ra(a !%ra6a&k%anggo&aan 20 (a!a #i$(unanDINGIN &%r'%+u&8

    F93:f273: 27;153 < 25;153 : 0,

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    GAFIK KANGGOTAAN KU/A

     TABIUM

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    FUNGI KANGGOTAAN

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    4ONTOC

    Fung'i k%anggo&aan un&uk #i$(unanDINGIN (a!a aria+%" &%$(ra&urruang '%(%r&i ga$+ar !i+awa# ini.

    -%ra(a !%ra6a& k%anggo&aan 72 !an25 (a!a #i$+unan DINGIN &%r'%+u&8

    F93 : f723: 75;723 < 75;2=3 : 0,7=5

    F253 : 1

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    GAFIK KANGGOTAAN KU/A

    -NTUK -ACU

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    FUNGI KANGGOTAAN

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    GAFIK KANGGOTAANKU/A ;

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    FUNGI KANGGOTAAN

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    4ONTOC 5

    • -%ra(a !%ra6a& k%anggo&aan BANA(a!a aria+%" &%$(%ra&ur +i"a'%+ua# +%n!a $%$(un*ai &%$(ra&ur

    50 o4 !an graEk kura k%anggo&aanun&uk #i$(unan fu* BANA &%r"i#a&(a!a ga$+ar !i+awa# ini.

    • F93:f503:1;2?0;503 < ?0;75332:0,?

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    4on&o# ?

    -%ra(a !%ra6a& k%anggo&aan BANA(a!a aria+%" &%$(ra&ur +i"a '%+ua#+%n!a $%$(un*ai &%$(ra&ur 7= o4

    !an graEk kura k%anggo&aan un&uk#i$(unan fu* BANA &%r"i#a& (a!aga$+ar !i+awa# ini.

    F93:f7=3:250;7=3 < 50;20332 :0,7=?

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    GAFIK KU/A -NTUKLON4NG

    a.Kura BI !%ra6a& k%anggo&aan 1&%r"%&ak (a!a (u'a& !o$ain ) 3 !an$%$(un*ai "%+ar kura +3 '%(%r&i

    ga$+ar !i+awa# ini.

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    Fung'i k%anggo&aan

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    4on&o# =

    -%ra(a !%ra6a& k%anggo&aan BANA (a!aaria+%" &%$(ra&ur +i"a '%+ua# +%n!a$%$(un*ai !ua +ua# 'i'i, 'i'i !%(an

    &%$(ra&urn*a 2 o4 !an 'i'i +%"akang&%$(ra&urn*a 51 o4. GraEk kurak%anggo&aan un&uk #i$(unan fu* BANA&%r"i#a& (a!a ga$+ar +%riku& $%ru(akan

    kura BI.F23 : 1 > 25;23 < 5;75332: 0,2

    F513 : 255;513 < 55;5332 : 0,72

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    +. Kura -TA !%ra6a& k%anggo&aan 1 6uga &%r"%&ak (a!a (u'a& !o$ain ) 3, $%$(un*ai '%&%nga# "%+ar

    kura + 3, !an &i&ik inf%k'i &%r"%&ak(a!a ) > +3 !an ) H +3. %(%r&iga$+ar +%riku& ini.

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    Fung'i k%anggo&aan

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    4on&o#

    -%ra(a !%ra6a& k%anggo&aan BANA (a!aaria+%" &%$(ra&ur +i"a '%+ua# +%n!a$%$(un*ai !ua +ua# 'i'i, 'i'i !%(an

    &%$(ra&urn*a 2 o4 !an 'i'i +%"akang&%$(ra&urn*a 51 o4, graEk kurak%anggo&aan un&uk #i$(unan fu* BANA&%r"i#a& (a!a ga$+ar +%riku& $%ru(akan

    kura -TA.F93 : f23 : 1 < 1H2;53 < 5323:0,=757

    F513 : 1 < 1H51;53

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    ). Kura GAU $%$(un*ai !%ra6a&k%anggo&aan 1 !i &i&ik (u'a& kura )3, !an "%+ar kura L 3 *ang !i

    &un6uk o"%# ga$+ar !i+awa# ini.

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    Fung'i k%anggo&aan

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     Tuga'

    Dik%&a#ui !ua #i$(unan fu* TINGGI&inggi +a!an orang -a"i3 !an -AT+%ra& +a!an i!%a" orang -a"i3 '%(%r&i

    (a!a ga$+ar +%riku&.

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    %"a'i an&ara k%!ua #i$(unan !i a&a'!i%k'(r%'ikan !%ngan a&uran &ungga"+%riku&.

    IF &inggi+a!an i' TINGGI TCN+%ra&+a!an i' -AT IDAL.

     Jika (ak agung $%$(un*ai &inggi

    +a!an 1?5 )$ !%ngan +%ra& +a!an?5 Kg, a(aka# (ak agung &%r$a'ukorang *ang $%$(un*ai +%ra& +a!an

    i!%a" , kuru' a&au g%$uk8

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     Jawa+.

    %+%"u$n*a, ki&a #i&ung !u"u +agian !ari IF,*ai&u $%ng#i&ung !%ra6a& &inggi +a!an

    '%+agai +%riku&.D%ra6a& &inggi 1?53:1?5;1553

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    • Ni"ai +%ra&0,53 @; ; 2*;503

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    Ar&in*a (ak agung *ang $%$(un*ai&inggi +a!an 1?5 )$ '%#aru'n*a$%$(un*ai +%ra& +a!an ?0 kg. akan

    &%&a(i, !ik%&a#ui +a#wa +ara& +a!an(ak agung *ang '%+%narn*a a!a"a#?5 kg, ar&in*a (ak agung &%r$a'uk

    orang g%$uk kar%na +%ra& +a!an*a"%+i# +%'ar !ari +%ra& +a!ani!%a"n*a.

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    O(%ra'i #i$(unan fu*

    Di(%r"ukan un&uk (ro'%' inf%r%n'i a&au(%na"aran.

    Da"a$ #a" ini *ang !io(%ra'ikan

    a!a"a# !%ra6a& k%anggo&aan.

    Fir% '&r%ng a&au ;(r%!ika& a!a"a#!%ra6a& k%anggo&aan '%+agai #a'i"

    !ari o(%ra'i !ua +ua# #i$(unanfu*.

    1 O i G + &

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    1. O(%ra'i Ga+ungan a&auO

    O(%ra'i ga+ungan union3 '%ring!i'%+u& '%+agai o(%r'i O a&auo(%ra'i ga+ungan a&au o(%ra'i $a9.

    Fu* A U - a!a"a# !%ra6a&k%anggo&aan *ang $%$(un*ai ni"ai&%r+%'ar.

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    4on&o# 1

    • Mi'a"kan ni"ai k%anggo&aan&%$(ra&ur 5 o4 (a!a #i$(unanBANA a!a"a# 0,? !an ni"ai

    k%anggo&aan 50 ()'

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    2. O(%ra'i Iri'an a&au AND

     O(%ra'i iri'an !i'%+u& '%+agai o(%ra'i ANDa&au o(%ra'i Min.

    4on&o# 2

    Mi'a"kan ni"ai k%anggo&aan &%$(ra&ur 5 o4(a!a #i$(unan BANA a!a"a# 0,? !anni"ai k%anggo&aan 50 ()'

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    7. O(%ra'i )o$("%$%n

    %ring !i'%+u& '%+agi o(%ra'i NOT,fung'i k%anggo&aann*a a!a"a# 1 >f93.

    4on&o# 7.

    Mi'a"kan ni"ai k%anggo&aan &%n(ra&ur5 o4 (a!a #i$(unan BANA a!a"a#

    0,? $aka ;(r%!ika& un&uk &%$(ra&ur TIDAK BANA a!a"a# 1; 0,? : 0,

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    FUNGI IMBLIKAI MIN

    IF Permintaan TINGGI AND BiayaProduksi SEDANG THENProduksiBarang NORMAL

    FUNGI IMBLIKAI DOT

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    FUNGI IMBLIKAI DOTBODU4T3

    IF Permintaan TINGGI AND BiayaProduksi SEDANG THENProduksiBarang NORMAL

    FUNGI INFN4 YTM

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    FUNGI INFN4 YTM

    MTOD TUKAMOTO

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    4on&o# ka'u' 1

    ua&u (%ru'a#aan $akanan ka"%ng akan $%$(ro!uk'i$akanan 6%ni' A-4. Dari !a&a 1 +u"an &%rak#ir,(%r$in&aan &%r+%'ar $%n)a(ai 5000 k%$a'an

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    P1Q IF B%r$in&aan TUUN ANDB%r'%!iaan -ANYAK TCN Bro!uk'i-arang -KUANG.

    P2Q IF B%r$in&aan TUUN ANDB%r'%!iaan DIKIT TCN Bro!uk'i-arang -KUANG.

    P7Q IF B%r$in&aan NAIK ANDB%r'%!iaan -ANYAK TCN Bro!uk'i-arang -TAM-AC.

    PQ IF B%r$in&aan NAIK AND

    JARA-AN

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     JARA-ANa!a 7 aria+%" *ang akan ki&a $o!%"kan

    Fung'i anggo&a (%r$in&aan

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    Fung'i anggo&a (%r$in&aan TUUN

    Fung'i anggo&a (%r$in&aan

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    Fung'i anggo&a (%r$in&aanNAIK 

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    Ki&a +i'a $%n)ari ni"ai k%anggo&aan

    f(%r$in&aanTUUN 0003 : 5000;0003

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    B%r'%!iaan &%r!iri !ari 2 #i$(unanfu* *ai&u DIKIT !an -ANYAK 

    Fung'i k%anggo&aan (%r'%!iaan

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    Fung'i k%anggo&aan (%r'%!iaanDIKIT !an -ANYAK 

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    Ki&a +i'a $%n)ari ni"ai k%anggo&aan(%r'%!iaan DIKIT

    f(%r'%!iaanDIKIT7003:?00;

    7003

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    Bro!uk'i +arang &%r!iri !ari 2 #i$(unanfu*, *ai&u -KUANG !an -TAM-AC

    Fung'i k%anggo&aan (ro!uk'i +arang

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    Fung'i k%anggo&aan (ro!uk'i +arang-KUANG !an -TAM-AC

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    %karang ki&a )ari ni"ai un&uk '%&ia( a&uran!%ngan $%nggunakan fung'i MIN (a!aa("ika'i fung'i i$("ika'in*a

    P1P IF B%r$in&aan TUUN AND B%r'%!iaan-ANYAK TCN Bro!uk'i -arang -KUANG

    ;(r%!ika&1 : f(%r$in&aanTUUN S

    (%r'%!iaan-ANYAK:$in0,25 0,3 : 0,25

    Li#a& #i$(unan (ro!uk'i +arang -KUANG:=00 > 3 < 5000 : 0,25

    Z 1: 5=50

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    P2Q IF B%r$in&aan TUUN ANDB%r'%!iaan DIKIT TCN Bro!uk'i-arang -KUANG.

    ;(r%!ika&2 : f(%r$in&aanTUUN S(%r'%!iaanDIKIT:$in0,25 0,?3 :0,25

    Li#a& #i$(unan (ro!uk'i +arang-KUANG:

    =00 > 3 < 5000 : 0,25

    Z 2: 5=50

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    P7Q IF B%r$in&aan NAIK ANDB%r'%!iaan -ANYAK TCN Bro!uk'i-arang -TAM-AC.

    ;(r%!ika&7 : f(%r$in&aanNAIK S(%r'%!iaan-ANYAK:$in0,=5 0,3 :0,

    Li#a& #i$(unan (ro!uk'i +arang-TAM-AC:

    ; 20003 < 5000 : 0,

    Z 7: 000

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    PQ IF B%r$in&aan NAIK ANDB%r'%!iaan DIKIT TCN Bro!uk'i-arang -TAM-AC.

    ;(r%!ika& : f(%r$in&aanNAIK S(%r'%!iaanDIKIT:$in0,=5 0,?3 :0,?

    Li#a& #i$(unan (ro!uk'i +arang-TAM-AC:

    ; 20003 < 5000 : 0,?

    Z: 5000

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    Ni"ai !a(a& !i)ari !%ngan )ara '%+agai +%riku&

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     Ja!i 6u$"a# $akanan ka"%ng 6%ni' A-4*ang #aru' !i(ro!uk'i '%+an*ak7 k%$a'an.

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    MTOD MAMDANI

    Un&uk $%n!a(a& ou&(u& !i(%r"ukan!i(%r"ukan &a#a(an *ai&u

    1. B%$+%n&ukan #i$(unan fu*.

    2. A("ika'i fung'i i$("ika'i

    7. Ko$(o'i'i a&uran

    . B%n%ga'an!%fu*3

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    1. B%$+%n&ukan #i$(unan fu*.

    Ba!a $%&o!% $a$!ani, +aik aria+%"in(u& $au(un aria+%" ou&(u& !i+agi

    $%n6a!i 'a&u a&au "%+i# #i$(unanfu*.

    2. A("ika'i fung'i i$("ika'i.

    Ba!a $%&o!% $a$!ani, fung'ii$("ika'i *ang !igunakan a!a"a#MIN.

    7 Ko$(o'i'i a&uran

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    7. Ko$(o'i'i a&uran.

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    . B%n%ga'an !%fu*3

    13 M%ng#i&ung $o$%n M3 un&uk'%&ia( !a%ra#

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    23 M%ng#i&ung "ua' &ia( !a%ra#

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    23 M%ng#i&ung "ua' &ia( !a%ra#73 M%ng#i&ung &i&ik (u'a&

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    A. /aria+%" +ia*a (ro!uk'i

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    4 & # k

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    4on&o# ka'u' *ang 'a$a

    ua&u (%ru'a#aan $akanan ka"%ng akan $%$(ro!uk'i$akanan 6%ni' A-4. Dari !a&a 1 +u"an &%rak#ir,(%r$in&aan &%r'+%'ar $%n)a(ai 5000 k%$a'an

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    P1Q IF B%r$in&aan TUUN ANDB%r'%!iaan -ANYAK TCN Bro!uk'i-arang -KUANG.

    P2Q IF B%r$in&aan TUUN ANDB%r'%!iaan DIKIT TCN Bro!uk'i-arang -KUANG.

    P7Q IF B%r$in&aan NAIK ANDB%r'%!iaan -ANYAK TCN Bro!uk'i-arang -TAM-AC.

    PQ IF B%r$in&aan NAIK AND

    JARA-AN

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     JARA-ANa!a 7 aria+%" *ang akan ki&a $o!%"kan

    Fung'i anggo&a (%r$in&aan

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    Fung'i anggo&a (%r$in&aan TUUN

    Fung'i anggo&a (%r$in&aan

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    Fung'i anggo&a (%r$in&aanNAIK 

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    Ki&a +i'a $%n)ari ni"ai k%anggo&aan

    f(%r$in&aanTUUN 0003 : 5000;0003

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    B%r'%!iaan &%r!iri !ari 2 #i$(unanfu* *ai&u DIKIT !an -ANYAK 

    Fung'i k%anggo&aan (%r'%!iaan

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    Fung'i k%anggo&aan (%r'%!iaanDIKIT !an -ANYAK 

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    Ki&a +i'a $%n)ari ni"ai k%anggo&aan(%r'%!iaan DIKIT

    f(%r'%!iaanDIKIT7003:?00;

    7003

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    Bro!uk'i +arang &%r!iri !ari 2 #i$(unanfu*, *ai&u -KUANG !an -TAM-AC

    Fung'i k%anggo&aan (ro!uk'i +arang

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    g gg ( g-KUANG !an -TAM-AC

    Jawa+

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     Jawa+

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    Ko$(o'i'i a&uran

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    Ko$(o'i'i a&uran

    a1; 20003 < =000 > 20003 : 0,25 ;;; a1 : 7250

    a2 > 20003 < =000 > 20003 : 0,? ;;

     :

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    B%n%ga'an !%fu*3

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    B%n%ga'an !%fu*3

    M%&o!% UGNO

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    M%&o!% UGNO

    B%na"aran !%ngan $%&o!% UGNO#a$(ir 'a$a !%ngan (%na"aranMAMDANI , #ana*a 'a6a ou&(u&

    kon'%ku%n3 'i'&%$ &i!ak +%ru(a#i$(unan fu*, $%"ainkan +%ru(akon'&an a&au (%r'a$aan.

    4on&o# ka'u'

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    4on&o# ka'u'

    M%nga)u (a!a )on&o# ka'u' *ang'a$a. Ci$(unan fu* (a!a aria+%"(%r$in&aan !an (%r'%!iaan 'a$a

    '%(%%r&i (%n*%"%'aian (a!a ka'u'&%r'%+u&. Can*a 'a6a a&uran *ang!igunakan '%!iki& !i$o!iEka'i, *ai&u

    !%ngan a'u$'i +a#wa 6u$"a#(%r$in&aan 'a"a"u "%+i# &inggi!i+an!ingkan !%ngan 6u$"a#(%r'%!iaan.

    ULn*a

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    ULn*a

    P1Q IF B%r$in&aan TUUN an! B%r'%!iaan-ANYAK TCN Bro!uk'i -arang: B%r$in&aan;B%r'%!iaan.

    P2Q IF B%r$in&aan TUUN an! B%r'%!iaanDIKIT TCN Bro!uk'i -arang: B%r$in&aan.

    P7Q IF B%r$in&aan NAIK an! B%r'%!iaan-ANYAK TCN Bro!uk'i -arang: B%r$in&aan.

    PQ IF B%r$in&aan NAIK an! B%r'%!iaanDIKIT TCN Bro!uk'i -arang:1,25B%r$in&aan > B%r'%!iaan3.

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    %karang ki&a )ari ;(r%!ika& !an ni"ai '%&ia( a&uran

    P1Q IF B%r$in&aan TUUN an! B%r'%!iaan

    -ANYAK TCN Bro!uk'i -arang:B%r$in&aan;B%r'%!iaan.

    ;(r%!ika& : f(%r$in&aanTUUN n(%r'%!iaan-ANYAK 

    : $in0,25 0,3 : 0,25.

    Ni"ai 1 : 000 > 700 : 7=00.

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    P2Q IF B%r$in&aan TUUN an!B%r'%!iaan DIKIT TCN Bro!uk'i-arang: B%r$in&aan.

    ;(r%!ika& : f(%r$in&aanTUUN n(%r'%!iaanDIKIT

    : $in0,25 0,?3 : 0,25.

    Ni"ai 2 : 000 .

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    P7Q IF B%r$in&aan NAIK an!B%r'%!iaan -ANYAK TCN Bro!uk'i-arang: B%r$in&aan.

    ;(r%!ika& : f(%r$in&aanNAIK n(%r'%!iaan-ANYAK 

    : $in0,=5 0,3 : 0,.

    Ni"ai 7 : 000.

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    PQ IF B%r$in&aan NAIK an!B%r'%!iaan DIKIT TCN Bro!uk'i-arang: 1,25B%r$in&aan >

    B%r'%!iaan3.;(r%!ika& : f(%r$in&aanNAIK n

    (%r'%!iaanDIKIT

    : $in0,=5 0,?3 : 0,?.Ni"ai : 1,25000 > 7003 : =00 .

    M%ng#i&ung ni"ai

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    M%ng#i&ung ni"ai

    Z : (r%!1 1 H (r%!2 2 H(r%!7 7 H (r%! 3 < (r%!1H (r%!2 H (r%!7 H (r%! 3

    : 0,257=00H0,25000H0,000H0,?=003 < 0,25H0,25H0,H0,?3 : 270.

     Ja!i 6u$"a# $akanan ka"%ng 6%ni' A-4*ang #aru' !i (ro!uk'i '%+an*ak270 k%$a'an.

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    A(a+i"a (ro'%' (ro!uk'i (%ru'a#aan&%r'%+u& $%nggunakan 7 a&uranfu* '++

    P1Q IF +ia*a (ro!uk'i NDAC an!(%r$ina&aan NAIK %n (ro!uk'i+arang -TAM-AC.

    P2 if +ia*a (ro!uk'i '%'uai '&an!ar&%n (ro!uk'i +arang NOMAL

    P7Q if +ia*a (ro!uk'i TINGGI an!

    (%r$in&aan TUUN %n (ro!uk'i

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    -%ra(a 6u$"a# $ini$u$ 6%ni' 9 #aru'!i(ro!uk'i, 6ika +ia*a un&uk$%$(ro!uk'i 6%ni' $inu$an

    &%r'%+u& !i (%rkirakan '%6u$"a#(.00 (%r k%$a'an !an (%r$in&aan!i(%rkirakan $%n)a(ai 25000

    k%$a'an (%r#ari.

    o"u'i

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    o"u'i

    1. M%$+ua& #i$(unan !an in(u& fu*.A!a 7 aria+%" fu* *g akan !i

    $o!%"kan *ai&u

    •. -ia*a (ro!uk'i &%r!iri a&a' 7#i$(unan fu*, *ai&u NDAC,TANDAT, !an TINGGI

    •. B%r$in&aan +arang, &%r!iri !ari 7#i$(unan fu* TUUN, -IAA,