Multi Criteria Decision Making With PROMETHEE method and software
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اره ی ع م د ن چ ری گی م ی م ص ت های روشMCDM PROMETHEE ان ی م د ز یم ا ا ی% ب
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19-Oct-2014 -
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Engineering
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Multiple-criteria decision-making or multiple-criteria decision analysis (MCDA) is a sub-discipline of operations research that explicitly considers multiple criteria in decision-making environments. Whether in our daily lives or in professional settings, there are typically multiple conflicting criteria that need to be evaluated in making decisions. Cost or price is usually one of the main criteria. Some measure of quality is typically another criterion that is in conflict with the cost. In purchasing a car, cost, comfort, safety, and fuel economy may be some of the main criteria we consider. It is unusual to have the cheapest car to be the most comfortable and the safest. In portfolio management, we are interested in getting high returns but at the same time reducing our risks. Again, the stocks that have the potential of bringing high returns typically also carry high risks of losing money. In a service industry, customer satisfaction and the cost of providing service are two conflicting criteria that would be useful to consider.
Transcript of Multi Criteria Decision Making With PROMETHEE method and software
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
