Loading-haulage Equipment Selection in Open Pit Mines Based on Fuzzy-ToPSIS Method

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    GOS P ODAR KA S UR OW C AM I M INE R AL NYM I

    Tom 24 2008 Zeszyt 4!

    A" AG#A$ANI %AZZAZI&' M" OSANLOO&&' #" SOLTANMO#AMMADI&&

    Loading-haulage equipment selection in open pit mines basedon fuzzy-TOPSIS method

    Introduction

    E()*+me,t se-e.t*o, *s o,e o/ te most *m+o1t,t s+e.ts o/ o+e, +*t 3es*," M*,*,

    .osts 1e m*,-y //e.te3 5y te ,)m5e1 ,3 .+.*ty o/ e()*+me,t" E()*+me,t se-e.t*o, /o1 

    o+e,6+*t m*,es *s 3e/*,*te-y m7o1 3e.*s*o, *. *-- *m+.t 1et-y te e.o,om*.

    9*5*-*ty o/ , o+e1t*o, :A7,* et -" 200;

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    8 8

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    http://et.al/http://et.al/http://et.al/

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    8 ?

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    te .1*te1* ..o13*, to te o-" Te /),3me,t- s.-e )se3 /o1 t*s +)1+ose *s so, *,

    T5-e >" o1 mt1*@ o/ o13e1 n' ::n< m=es te A#P m). -ess se,s*t*9e to 7)3me,t e11o1sB *t -so

    -ets o,e mes)1e 7)3me,t e11o1s 5y .-.)-t*, te .o,s*ste,.y *,3e@ o/ te .om+1*so,

    mt1*@' ,3 te, .-.)-t*, te .o,s*ste,.y 1t*o"

    TA%LE >

    S.-e /o1 +*1 *se .om+1*so,s

    TA%ELA >S=- 3- +o1,J +1m*

     N)me1*.- ssessme,t L*,)*st*. me,*,

    > E()- *m+o1t,t

    ! Mo3e1te-y mo1e *m+o1t,t

    St1o,-y mo1e *m+o1t,t

    ; e1y st1o,-y *m+o1t,t

    ? E@t1eme-y mo1e *m+o1t,t

    2' 4' ' 8 I,te1me3*te 9-)es o/ *m+o1t,.e

    I, s+*te o/ *ts +o+)-1*ty ,3 s*m+-*.*ty *, .o,.e+t' t*s meto3 *s o/te, .1*t*.*ze3 /o1 *ts

    *,5*-*ty to 3e()te-y ,3-e te *,e1e,t ),.e1t*,ty ,3 *m+1e.*s*o, sso.*te3 *t te

    m++*, o/ te 3e.*s*o,6m=e1s +e1.e+t*o, to .1*s+ 9-)es" I, te t13*t*o,- /o1m)-t*o, o/ 

    te A#P' )m, 7)3me,ts 1e 1e+1ese,te3 s .1*s+ 9-)es" #oe9e1' *, m,y +1.t*.- .ses

    te )m, +1e/e1e,.e mo3e- *s ),.e1t*, ,3 3e.*s*o, m=e1s m*t 5e 1e-).t,t o1 ),5-e to

    ss*, .1*s+ 9-)es to te .om+1*so, 7)3me,ts :C,' K)m1 200;

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    ?0

    T*s se.t*o, e@te,3s te TOPSIS to te /)zzy e,9*1o,me,t" We 51*e/-y 1e9*e te 1t*o,-eo/ /)zzy teo1y 5e/o1e te 3e9e-o+me,t o/ /)zzy TOPSISB s /o--os

    &efinition '.1. A /)zzy seta *, ),*9e1se o/ 3*s.o)1se *s .1.te1*ze3 5y mem5e1s*+ /),.t*o, a : x< a : x< *. sso.*tes *t e. e-eme,t x *, ' 1e- ,)m5e1 

    *, te *,te19- 0' >" Te /),.t*o, 9-)e,a a : x< *s te1me3 te 13e o/ mem5e1s*+ o/ x *, a

    :Z3e >?' 2' !

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    • ••

    •• • • •

    Q QC > C nC 2 :<

     A A

     A

    Q Q x>>  x>n> x

    > 2

     x 2 > Q Q  x2 n x 2 22

    !

    ~  xQ Q x x x!> !n!2 !!

    C !

     x> !

     x 2 !~  D

     A Q Q>  x xm 2 2 m xm m  xmn

    !

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    ? >

    W =w >'w 2'w !'"""' wn :<

    e1e  xij'  i >' 2' """' m' j >' 2' """' n ,3 w j >' 2' """' n 1e -*,)*st*. t1*,)-1 /)zzy

    ,)m5e1s'  xij  :aij ' bij 'cij< ,3 w j  :w j> 'w j2 ' wj!' 2' """' m' j >' 2' """' n< /o1 -te1,t*9es*t 1es+e.t to .1*te1* ,3 te ++1o+1*te -*,)*st*. 91*5-es :w j'  j >' 2' """' n< /o1 te

    e*t o/ te .1*te1*"

    Te /)zzy -*,)*st*. 1t*,  xij +1ese19es te +1o+e1ty tt te 1,es o/ ,o1m-*ze3t1*,)-1 /)zzy ,)m5e1s 5e-o, to 0' >B t)s' te1e *s ,o ,ee3 /o1 ,o1m-*zt*o, +1o.e3)1e" o1 t*s *,st,.e' te D 3e/*,e3 5y E()t*o, >! *s e()*9-e,t to te

     R 3 e / * , e 3 5 y E ( ) t * o ,> "

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    so, s E()t*o,s ? ,3 >0

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    v ~v vi > i

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    ? 2

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    >

     j

    Ste+ C-.)-te s*m*-1*t*es to *3e- so-)t*o," T*s ste+ so-9es te s*m*-1*t*es to ,

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    d  jn

    i :>!

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    ? !

    TA%LE 2T1,s/o1mt*o, /o1 /)zzy mem5e1s*+ /),.t*o,s

    TA%ELA 2

    P1ze=szt!.e,*e 3- /),=.7* 1ozmyty.

    R,= Att1*5)te 13e Mem5e1s*+ /),.t*o,

    e1y Lo :L< > :0"00' 0">0' 0"2<

    Lo :L< 2 :0">' 0"!0' 0"4<

    Me3*)m :M< ! :0"!' 0"0' 0"<

    #* :#< 4 :0"' 0";0' 0"8<

    e1y #* :#< :0";' 0"?0' >"00<

    ). pplicaion of fuzzy TOPSIS method in sungun copper mine

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    S),), m*,e *s o,e o/ te -1est .o++e1 3e+os*ts o/ I1, *. *s -o.te3 *, te ,o1t6

    est o/ te .o),t1y .-ose to Aze15*7,' A1me,* ,3 T)1=ey 5o13e1s" Te.,*.- ,3

    e.o,om*.- st)3*es e1e so, tt te most ++1o+1*te o/ m*,*, meto3 /o1 t*s 3e+os*t

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    m*,e *s >"8> :#ose*,*e et -" 200

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    ?4

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    Rys" >" Mo3e- A#P 3- y5o1) system) z!3),=) o3sty

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    tem o/ /o)1 mem5e1s o 1e /1e()e,t-y *,9o-9e3 *, e()*+me,t se-e.t*o, *, te +1t*.)-1 

    o+e, +*t m*,e o+e1t*o, s )se3" It 3ese19e3 me,t*o,B -- o/ tem 9e e()- *m+1ess*o, *,

    3e.*s*o, m=*, +1o.ess"

    ! " ! " E 9 - ) t * o, + 1 o. e 3) 1 e 5y / )z z y T O P S I S * , s ),), . o++e 1 m * ,e

    I, t*s st)3y' te,ty to tt1*5)tes ,3 t1ee -te1,t*9es e1e .o,s*3e1e3" A#P mo3e-

    s )se3 to tt1*5)te e*t*, 5e.)se We*t o/ tt1*5)te so)-3 5e *9e, to 3e.*s*o,

    m=e1s /o1 ++-*.t*o, /)zzy TOPSIS meto3"

    o1 te /*1st ste+ o/ t*s meto3o-oy' te 3e.*s*o, mt1*@' 1e+1ese,t*, te +e1/o1m,.e

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    T5-e ! *s so*, t*1tee, tt1*5)tes 1e te sm--e1 te 5ette1 ty+e .1*te1* ,3 ,*,e

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    te +1e9*o)s se.t*o,' te +e1/o1m,.e 1t*,s *, T5-e ! 1e ,o1m-*ze3 *,to te 1,e o/ 

    0'> 5y E()t*o,s >4 ,3 > :Ce, >???4<

    te -1e1 te 5ette1 ty+em@ x  —m*, x ij ij

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    r ij

    -m@  x xij ij te sm--e1 te 5ette1 ty+e

    ?

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    E-e.t1*.- :.;< 0"04; 0"20> 0"2!

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    )e-s :.?< 0"282 0">20 0">4

    P1o3).t*o, :.>0< 0">88 0"!2> 0"2?2

    Mte1*- s*ze :.>>< 0"2! 0"080 0"2!!

    Mo*st)1e :.>2< 0">4> 0">> 0"204

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    Wete1 .o,3*t*o, :.>< 0"!2? 0"20> 0">;

    Use/)- -*/e :.>;< 0"2! 0"!> 0"!;?

    -e@*5*-*ty :.>8< 0"282 0">> 0"08

    A9*-5*-*ty :.>?< 0"2! 0"24> 0"204

    Ut*-*zt*o, :.20< 0">88 0"!2> 0"2!

    S)++o1t :.2>< 0">4> 0"20> 0"2!!

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    Co,t*,)es o/ m*,*, :.22< 0">4> 0"20> 0"2?2

    ?

    TA%LE 4

     No1m-*ze3 3e.*s*o, mt1*@ /o1 /)zzy TOPSIS ,-ys*s

    TA%ELA 4

    M.*e1z z,o1m-*zo,e7 3e.yz7* 3- 1ozmyte7 ,-*zy TOPSIS

    A-te1,t*9e

    C1*te1*System A> System A2 System A! C1*te1* e*t :w j<

    %s*. +1*.e 0"!!! 0"28 0"2;! 0">;

    Comm*ss*o, 0"; 0";>4 0";2; 0"0>

    S*+me,t 0"!!! 0"28 0"2;! 0"02I,s)1,.e 0"; 0";>4 0";2; 0"04;

    M*,te,,.e 0"00 0";> 0"! 0"0?>

    L5o1 0"00 0";>4 0";2; 0"0>

    E-e.t1*.- >"000 0";> 0"!4 0"0;4

    T1*,*, 0"8!! 0"8; 0"?0? 0"02?

    )e-s 0">; 0"8; 0";2; 0">!>

    P1o3).t*o, 0"00 0"8; 0";2; 0"02

    Mte1*- s*ze 0"; 0"000 0"4 0"024

    Mo*st)1e 0"; 0";>4 0"4 0"0>?

    #)-e 3*st,.e 0"00 0"8; 0"8>8 0"00

    E,9*1o,me,t 0"; 0"28 0">82 0"0>

    G1o),3 .o,3*t*o, >"000 0"42? 0">82 0"04

    Wete1 .o,3*t*o, 0"000 0";> 0"! 0"0>8

    Use/)- -*/e 0"; >"000 >"000 0"0>0

    -e@*5*-*ty 0"8!! 0"28 0"000 0"028

    A9*-5*-*ty 0"; 0";> 0"4 0"0>?

    Ut*-*zt*o, 0"00 0"8; 0"! 0"0!

    S)++o1t 0"; 0";> 0"4 0"02

    Co,t*,)es o/ m*,*, 0"!!! 0"42? 0";2; 0"0>;

    91*5-e *s te, t1,s/o1me3 *,to /)zzy t1*,)-1 mem5e1s*+ /),.t*o, s so, *, T5-e

    " T*s *s te /*1st ste+ o/ te /)zzy TOPSIS ,-ys*s" Te /)zzy tt1*5)te e*t *s -so

    .o--e.te3 *, T5-e "

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    Te se.o,3 ste+ *, te ,-ys*s *s to /*,3 te e*te3 /)zzy 3e.*s*o, mt1*@" Te

    1es)-t*, /)zzy e*te3 3e.*s*o, mt1*@ *s so, s T5-e 5y )s*, E()t*o, !"

    A..o13*, to T5-e ' e =,o tt te e-eme,ts vij  '  V i' j 1e ,o1m-*ze3 +os*t*9et1*,)-1 /)zzy ,)m5e1s ,3 te*1 1,es 5e-o, to te .-ose3 *,te19- 0'>" T)s' e

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    9 7 

    TABLE 5 Decision matrix usin !u""# $inuistic variab$es

    TABELA 5

     %acier" dec#"ji " w#&or"#staniem ro"m#t#c' "mienn#c' $inwist#c"n#c'

     A$ternative

    Criteria(#stem A) (#stem A* (#stem A+ Criteria wei't ,w j -

     Basic .rice ,/0)51/0+/1 /025- ,/0)51/0+/1 /025- ,/0)51 /0+/1 /025- ,/0751/09/1 )0//-

    Commission ,/0551 /07/1 /035- ,/0551 /07/1 /035- ,/0551 /07/1 / 035- ,/0//1 /0)/1 /0*5-

    ('i.ment ,/0)51/0+/1 /025- ,/0)51/0+/1 /025- ,/0)51 /0+/1 /025- ,/0551/07/1 /035-

     4nsurance ,/0551/07/1 /035- ,/0551/07/1 /035- ,/0551 /07/1 /035- ,/0551/07/1 /035-

     %aintenance ,/0+51/05/1 /05- ,/0+51/05/1 /05- ,/0551 /07/1 /035- ,/0751/09/1 )0//-

     Labor  ,/0+51/05/1 /05- ,/0551/07/1 /035- ,/0551 /07/1 /035- ,/0551/07/1 /035-

     E$ectrica$ ,/0751/09/1 )0// - ,/0+51/05/1 /05- ,/0)51/ 0+/1 /025- ,/0551/07/1 /035-

    Trainin ,/0751 /09/1 )0// - ,/0751/09/1 )0//- ,/0751/ 09/1 )0//- ,/0+51/05/1 /05-

     6ue$s ,/0//1/0)/1 /0*5- ,/0751/09/1 )0//- ,/0551 /07/1 /035- ,/0751/09/1 )0//-

     roduction ,/0+51/05/1 /05- ,/0751/09/1 )0//- ,/0551 /07/1 /035- ,/0+51/05/1 /05-

     %ateria$ si"e ,/0551/07/1 /035- ,/0//1/0)/1 /0*5- ,/0+51 /05/1 /05- ,/0+51/05/1 /05-

     %oisture ,/0551/07/1 /035- ,/0551/07/1 /035- ,/0+51 /05/1 /05- ,/0)51/0+/1 /025-

     8au$ae distance ,/0+51/05/1 /05- ,/0751/09/1 )0//- ,/0751 /09/1 )0//- ,/0551/07/1 /035-

     Environment ,/0551/07/1 /035- ,/0)51/0+/1 /025- ,/0//1 /0)/1 /0*5- ,/0//1/0)/1 /0*5-

    round condition ,/0751/09/1 )0// - ,/0+51/05/1 /05- ,/0//1 /0)/1 /0*5- ,/0+51/05/1 /05-

    Weat'er condition ,/0//1/0)/1 /0*5- ,/0+51/05/1 /05- ,/0551/ 07/1 /035- ,/0)51/0+/1 /025-

    :se!u$ $i!e ,/0551 /07/1 /035- ,/0751 /09/1 )0//- ,/0751 /09/1 ) 0//- ,/0//1 /0)/1 /0*5-

     6$exibi$it# ,/0751/09/1 )0//- ,/0)51/0+/1 /025- ,/0//1 /0)/1 /0*5- ,/0+51/05/1 /05-

     Avai$abi$it# ,/0551/07/1 /035- ,/0+51/05/1 /05- ,/0+51 /05/1 /05- ,/0)51/0+/1 /025-

    :ti$i"ation ,/0+51 /05/1 /05- ,/0751 /09/1 )0//- ,/0551 /07/1 / 035- ,/0+51 /05/1 /05-

    (u..ort ,/0551/07/1 /035- ,/0+51/05/1 /05- ,/0+51 /05/1 /05- ,/0+51/05/1 /05-

    Continues o! minin ,/0)51/0+/1 /025- ,/0+51/05/1 /05- ,/0551/ 07/1 /035- ,/0)51/0+/1 /025-

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    ? 8

    TA%LE )zzy6e*te3 3e.*s*o, mt1*@

    TA%ELA

    M.*e1z 3e.yz7* 1ozmyty. o,y.

    A-te1,t*9e

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    REERENCES

    > A 7 , * A"' Os , - o o M"' 200; H A++-*.t*o, o/ A#P6TOPSIS Meto3 /o1 Lo3*,6#)-e E()*+me,t

    Se-e.t*o, *, O+e, +*t M*,es" II I,te1,t*o,- M*,*, Co,9e,t*o,' Me@*.o"

    2 A7 ,* A"' Os,-oo M"' A=51+o)1 M"' 200; H O+t*m*z*, -o3*, system o/Go-6e6Go1*1o, o1e m*,e o/ 

    I1, 5y e,et*. -o1*tm" I1o, o1e .o,/e1e,.e' A)st1-*"

    ! %,3o+3yy S"'e,=ts)51m,*, P"' >?8;HE@+e1tsystemss3e.*s*o,*3*,s)1/.em*,e e()*+me,t

    se-e.t*o," I,te1,t*o,- $o)1,- o/ M*,*,' Re.-mt*o, ,3 E,9*1o,me,t o-" >' 2' >?H>"

    4 % s . e t*, A"' 2004 H A, ++-*.t*o, o/ te ,-yt*. *e11.y +1o.ess *, e()*+me,t se-e.t*o, t O1,e-*

    o+e, +*t .o- m*,e" M*,*, Te.,o-oy :T1,s" I,st" M*," Met--" A?26A>??"

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    %s.et*, A"' Ozts A"' K,-* A"' 200 H ES .om+)te1 so/t1e )s*, /)zzy -o*. /o1 e()*+me,t se-e.t*o,*, m*,*, e,*,ee1*," Te $o)1,- o/ te So)t A/1*., I,st*t)te o/ M*,*, ,3 Met--)1y o-" >0' !H 

    ;0"

    %-,.13 %"S"' 51y.=y W"$"' >?8> H Systems e,*,ee1*, ,3 ,-ys*s" 2,3 e3*t*o, :E,-eoo3 C-*//s'

     N"$" P1e,t*.e6#--' I,."' >?8>??; H S)1/.e m*,*, e()*+me,t .ost ,-ys*s *t 3e9e-o+e3 -*,e1 51e= e9e, mo3e-"

    I,te1,t*o,- $o)1,- o/ M*,*,' Re.-mt*o, ,3 E,9*1o,me,t o-" >>' 2' !H8"

    8 C e - e 5 * N"' >??8 H A, e()*+me,t se-e.t*o, ,3 .ost ,-ys*s system /o1 o+e, +*t .o- m*,es" I,te1,t*o,-

    $o)1,- o/ M*,*,' Re.-mt*o, ,3 E,9*1o,me,t o-" >2' 4' >8>H>8;"

    ? C, "' K)m1 N"' 200; H G-o5- s)++-*e1 3e9e-o+me,t .o,s*3e1*, 1*s= /.to1s )s*, /)zzy e@te,3e3 A#P6

     5se3 ++1o." Ome o-" !' 4' 4>;H4!>"

    >0 Ce, C#" >??? H E9-)t*, e+o, systems )s*, 1,=*, /)zzy ,)m5e1s" )zzy Set System o-" >0;' 2H 

    !"

    >> De,5y %"' S.o/*e-3 D"' >??0 H A++-*.t*o, o/ e@+e1t systems *, e()*+me,t se-e.t*o, /o1 s)1/.e 3es*,"

    I,te1,t*o,- $o)1,- o/ M*,*,' Re.-mt*o, ,3 E,9*1o,me,t o-" 4' 4' >H>;>">2 #-- R"' D,e s m, 3 K"' 200! H Re-*5*-*ty Mo3e--*, o/ S)1/.e M*,*, E()*+me,t Dt Gte1*,

    ,3 A,-ys*s Meto3o-o*es" I,te1,t*o,- $o)1,- o/ M*,*,' Re.-mt*o, ,3 E,9*1o,me,t o-" >;' !'

    >!?H>"

    >! #ose*,*e S"#"' Po)11*m*, Y"' A55e #"' 200 H A++-*.t*o, o/1o.= mss *,3e@ :RM*< to 3ete1m*,e o/ 

     5-st*, *,3e@ :%I< H A .se st)3y s),), .o++e1 m*,e H I1, MPES' +" >0>!H>0>8"

    >4 #1e51 M"$"' >??0 H P1e-*m*,1y 31-*,e se-e.t*o, /o1 s)1/.e .o- m*,*, o+e1t*o," I, P1o." 2,3

    I,te1,t*o,- .o,/e1e,.e o, m*,e +-,,*, ,3 e()*+me,t se-e.t*o,' C,3' >!!H4!"

    > K)/m,, A"' G)+t M"M"' >?8 H I,t1o3).t*o, to /)zzy 1*tmet*. teo1y ,3 ++-*.t*o,s" Ne Yo1=' ,

     Nost1,3 Re*,o-3"

    > L*z ott e Y"' >?88 H E.o,om*. ,3 te.,*.- 1e-t*o,s 5etee, o+e,6+*t 3es*, ,3 e()*+me,t se-e.t*o,"

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    >8 S t y T"L"' 1 s L"G"' >??4 H De.*s*o, m=*, *, e.o,om*.' +o-*t*.-' so.*-' ,3 te.,o-o*.-

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    >? Sm,t %"' S1=1 %"' M)=e17 e e S"' 2002 H Se-e.t*o, o/ o+e,.st m*,*, e()*+me,t 5y m)-t*6.1*te1*

    3e.*s*o,6m=*, +1o.ess" M*,*, Te.,o-oy :T1,s" I,st" M*," Met--" A' >;H2!"

    2> Z3e L"A"' >? H )zzy sets" I,/o1mt*o, ,3 Co,t1o-" o-" 8' !!8H!!"

    &O+, /0&/2 &O /3&45 O&ST67 6 5OPL4I*" O&5765O67*"OPT7 4 8TO&/I O/87T9 : TOPSIS

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