BOCR framework for decision analysis

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BOCR framework for decision analysis

Ayeley Tchangani, François Pérès

To cite this version:

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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).

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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

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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& # !

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%&' -6 / J >"" -@ ?" ?" ;" J A -J %&' %&' 18"" ( @ <"- 8" <" =" 9 8" 8" @ 5" 5" ! @ 7" 7" A J 4 % ! ) 18"" 4 ( <" 2 Pa(X)

Goal: to measure the strength

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

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