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OATAO is an open access repository that collects the work of Toulouse

researchers and makes it freely available over the web where possible

Any correspondence concerning this service should be sent

to the repository administrator:

[email protected]

This is an author’s version published in: http://oatao.univ-toulouse.fr/23636

To cite this version:

Tchangani, Ayeley

and Pérès, François

BOCR framework for

decision analysis. (2010) In: IFAC LSS 2010, 12 July 2010 - 14

July 2010 (Villeneuve d'Ascq, France).

(2)

! "# $ % %& ' ( ) &* +& ! "# $ * &, ) &* + ! " # $ %&' " ( ! ) * * ! " * * " - %. $ + % , - , -% , -% . %&' / ! 0 1 2. +3 2 . % -" -# , ) # , ) , ") -" 3 ) # -! -) -4 156 56 7" %&' 18" ! 9 # 86 1:6 11" " " ;6 <6 1=6 >?"" # -2 @ # ! " # ) ! (

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-> ( %,AB C ( +A 2/2 . %.%DE/2/ + ! " / ( ( " # ! $ % " 6 ! % ! ) # 6 @ 6 6 ! ! # ( 1 O_axis A_axis a_axis a-A plane a-O pla ne A-O plane How well does alternative A

satisfy objective O ?

What is the value of attribute a of alternative A ? Wha tre latio nsh ipb etw ee n Att ribu tes an do bje ctiv es ? O_axis A_axis a_axis a-A plane a-O pla ne A-O plane How well does alternative A

satisfy objective O ?

What is the value of attribute a of alternative A ? Wha tre latio nsh ipb etw ee n Att ribu tes an do bje ctiv es ? ( 1 + ( 1 -# 2 -! 4 % ! 0 1 & % -" " -. 18" ! -A ! F " F " F " F " -! ! -0 1 2& ! F " F " -% " F " F " " 0 %&' -( > Objective (o)

B_attributes O_attributes C_attributes R_attributes

Alternative (A) . . . . . . . . . . . .

Supporting attributes Rejecting attributes

measurable attributes measurable attributes

Objective (o)

B_attributes O_attributes C_attributes R_attributes

Alternative (A) . . . . . . . . . . . .

Supporting attributes Rejecting attributes

measurable attributes measurable attributes

( > -B ! ! B 2& 3 1 4 # % ! ! ! @

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@ @ " 8 1 $ # "# % & @ ) -@ -" 6 @ -A J ( ? ! S-S graph A-A graph C-C graph S-C graph A-C graph S-S graph A-A graph C-C graph S-C graph A-C graph ( ? , - J ! " # $ " %) ! J @ 6 @ *' . . < * & " #&$& " % -J ! 6 @ '! " # $ " % ! -@ -@ J @ & $ '! " #&$ " %) J -@ ! $ '! " #($ " % ! J @ - ( ; -$ 2 $ -%&' A-A graph intermediary attributes primary attributes R(o,A) AO(o,A) S-S graph primary state variables intermediary state variables R(o,A) SO(o,A) C-C graph ultimate consequences intermediary consequences R(o,A) CO(o,A) A-A graph intermediary attributes primary attributes R(o,A) AO(o,A) A-A graph intermediary attributes primary attributes R(o,A) AO(o,A) S-S graph primary state variables intermediary state variables R(o,A) SO(o,A) S-S graph primary state variables intermediary state variables R(o,A) SO(o,A) C-C graph ultimate consequences intermediary consequences R(o,A) CO(o,A) C-C graph ultimate consequences intermediary consequences R(o,A) CO(o,A) ( ; , - $

2&2& & & = 3 % . 6 + !

?"" 1?") !

" !

2&2& & & & > + !

-- 6 ( ; - 6 J ! " -" 2 # " 6

2&2& & &2& # !

# -( 4 @ 16 1<" " - 1<"" -@ @ 1>"" %&' 1;"" " ="" &

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Goal: to measure the strength

of the influence of each parent node Y Pa(X) on the node X

( < @ 1:" @ 6 %&' @ H' . . ' ? * , , ' , ' ' , < I ! # ! @ 1:" 18" 1:" 4 J 4 5 # 6 & B -% ! # % ! ! ? %00 A0% 2 . 0 ! -" ! >:6 >16 >>" 9& > 1 ( ( # 2 17" " -! ! 0 1 & % ! ! ! " 6 ! ! ! ! ! 6

(7)

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(8)

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