, , . , , , , . . - .
. (.1).
1.
1 | 2 | ... | On | |
p1 | a11 | a12 | ... | a1n |
p2 | a21 | a22 | ... | a2n |
... | ... | ... | ... | ... |
pm | am1 | am2 | ... | amn |
On - , , n- (, , );
Pm- , .
, -Amn.
, , () .
, , , , , , ..
, . , , . . . .
3 :
1. , . max P(O1) ( 6 ) .
2. , .
3. .
:
) max-min - , , , ;
|
|
) min max . , , max , .
, G ( - ) :
,
- , m;
- , m;
k - , () , .
k :
k
0 0,25 0,5 0,75 1
:
3 :
1) -Ô, ;
2) ;
3) -Ô, - .. .
( ).
, (.2).
2.
Pi/Oi | O1 | O2 | O3 |
P1 | 0.99 | 0.1 | |
P2 | 0.5 | 0.5 | 0.3 |
P3 | 0.25 | 0.7 | 0.4 |
Pi - ;
Oi - ;
O1 - -Ô - , - .
O2 - -Ô - ;
O3 - .
, , (max-min).
. 2 P1 0, P2- 0.3, P3- 0.25.
0.3, P2, .. P2 .
, .7. . P1 - 0.5; P2 - 0.49; P3 - 0.29. P3, 0,29.
- k.
k=0,5
P1
:
(.3).
3.
Pi/Oi | O1 | O2 | O3 |
P1 | 0.5-0=0.5 | 0.99-0.99=0 | 0.4-0.1=0.3 |
P2 | 0.5-0.5=0 | 0.99-0.5=0.49 | 0.4-0.3=0.1 |
P3 | 0.5-0.25=0.25 | 0.99-0.7=0.29 | 0.4-0.4=0 |
:
P(O1)=P(O2)=P(O3)=0.33
:
Wi=P(Oi)*Aij,
P(Oi)- ;
Aij-, i- j- .
W1=0.33*0+0.33*0.99+0.33*0.1=0.3597
W2=0.33*0.5+0.33*0.5+0.33*0.3=0.329
W3=0.33*0.25+0.33*0.7+0.33*0.4=0.445
|
|
P3.
.
:
P1: G1=0,495;
P2: G2=0,5*0,3+(1-0,5)*0,5=0,4;
P3: G3=0,5*0,25+(1-0,5)*0,7=0,475.
k=0,5 P1.
Gi .
Gi 4.
4.
Gi ki | |||||
Pi/ki | 0.00 | 0.25 | 0.5 | 0.75 | 1.00 |
Pi | 0.99 | 0.743 | 0.495 | 0.362 | |
P2 | 0.5 | 0.45 | 0.4 | 0.35 | 0.3 |
P3 | 0.7 | 0.587 | 0.475 | 0.362 | 0.25 |
P1 | P1 | P1 | P1P3 | P2 |
, ki , Gi. ki=0,75 - Gmax=0,362. 1 3.