An Introduction to Ordered Weighted Averaging (OWA)
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An Introduction to Ordered Weighted Averaging (OWA) در ن رد آ ب ده و کار ش ب ت ر م ی ن ور ن گی ن ا ی م روش اره ی ع م د ن’ چ ری های گی م ی م ص ت ب ل طا ن س ح م عات لا ط اوری آ ن ف ب ت ر ب د مد ی آرش س ا ی ش کار ات ق ی ق ح تم و و ل ع ی وآحد م لا شK د آK آ ر گاه آ ش ن دآ
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An Introduction toOrdered Weighted Averaging (OWA) By: Mohsen Taleb
Transcript of An Introduction to Ordered Weighted Averaging (OWA)
- 1. An Introduction toOrdered Weighted Averaging (OWA)
- 2. OWA
ANP TOPSIS ELECTRE I-III AHP ...
/
2 - 3.
F
:
[1]
: i X
3 - 4.
4
0.8 0.95 0.2 0.38
X=(, , , )
X
w=(1,0.3,0.5,0)
0.95x1 + 0.8x0.3 + 0.38x0.5 + 0.2x0 = ? - 5. OWA
OWA
ORness
Trade off
5 - 6. ORness
Orness OWA AND () OR ()
DM .
[2]
ORness .
6 - 7. ORness -
7
OR
AND
- 8. ORness -
OWA :
ORness(w) > 0.5
ORness(w) = 0.5
ORness(w) < 0.5
ANDness = 1 - ORness
8 - 9. Trade off
:
[3]
9 - 10. OWA
OWA . Yager 3 OWA :
Max
Min
Average
10 - 11. OWA
.
2 :
(Linguistic Quantifiers)
11 - 12. (a,b)
(0.3 , 0.8)
(0 , 0.5)
(0.5, 1)
* Q
12 - 13.
13
* 7 - 14. OWA
Yager :
[6]
[7]
* (a,b)
* i n .
14 - 15. OWA
15 - 16.
5 . 0.5 ( ) ( ) :
F(0.8, 0.95, 0.2, 0.38, 0.1)
16 - 17. (0.3,0.8)
:
:
F(0.8,0.95, 0.2,0.38,0.1) = .95x0 + .8x.2 + .38x4 + .2x.4 + .1x0 = 0.392
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(a,b) = (0.3, 0.8) - 18. (0,0.5)
:
:
F(0.8,0.95,0.2,0.38,0.1) = .95x.4 + .8x.4 + .38x.2 + .2x0 + .1x0 = 0.776
0.776 > 0.5
18 - 19. Case Study
- 20. 20
- 21.
:
* n
21 - 22.
22 - 23.
23 - 24. OWA TOPSIS
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