MCDM
MCDM
PROMETHEE
PROMETHEE
. .
MADM
MODM
MCDM
MCDM
AHP ANPVIKORSAWTOPSISELECTREPROMETHEESMARTREGIMESIREVAMIX
SAW
Simple Additive Weighting
SAW . .
()
()
AHP
Analytic Hierachy Process
... .
.
TOPSIS
(Technique for order preference by similarity to ideal solution)
(1981)
.
ELECTRE
PROMETHEE
Preference Ranking Organization Method For Enrichment Evaluation 1986 ( ) GAIA
PROMETHEE
.
A B ( A B ) A B . A B A B .
PROMETHEE
0.1394
0.0942
0.0877
0.1591
0.1263
0.1168
0.0798
0.1066
0.0902
Max(Min) {f1(a) , f2(a) , , fk(a) |a A}
A :
fj(a) : a j
j:1,2,, k
P : . Pj (a,b) = Pj[ dj(a,b) ]d : j dj(a,b) = fj(a) fj(b)
Max
Max
Max
Max
Max
Max
Max
Max
Max
Max/Min
V-shape
V-shape
V-shape
V-shape
V-shape
V-shape
V-shape
V-shape
V-shape
0.1394
0.0942
0.0877
0.1591
0.1263
0.1168
0.0798
0.1066
0.0902
4.57
6.33
0
1.22
6
6.4
4.8
4
6
1
2.43
2.67
3.4
3.22
3.71
2.6
3.2
3.75
3
2
7.14
6.33
4.8
5.55
8.29
6.2
5.8
6.5
7.2
3
d1 (1,2) = f1(1) f1(2)= 6-3=3
Usual
V-shape
U-shape
Linear
Level
Gaussian
P(a,b)=0 if d0 P(a,b)0 if d>0 P(a,b)1 if d>>0 P(a,b)=1 If d>>>0 p .
p
Difference
Preference degree
0
1
3
0.3
P1(1,2)=d/10 =0.3
d1(1,2) = f1(1) f1(2)= 6-3=3
Max
Max
Max
Max
Max
Max
Max
Max
Max
Max/Min
V-shape
V-shape
V-shape
V-shape
V-shape
V-shape
V-shape
V-shape
V-shape
0.1394
0.0942
0.0877
0.1591
0.1263
0.1168
0.0798
0.1066
0.0902
4.57
6.33
0
1.22
6
6.4
4.8
4
6
1
2.43
2.67
3.4
3.22
3.71
2.6
3.2
3.75
3
2
7.14
6.33
4.8
5.55
8.29
6.2
5.8
6.5
7.2
3
PROMETHEE I
PROMETHEE II
:
PromCalcDecision LabD-Sight Smart Picker ProVisual Promethee