Page 43 - Decision Making Applications in Modern Power Systems

20 Decision Making Applications in Modern Power Systems

START

Step 1: Calculation of preference degree based on
preference function

Step 2: Calculation of global preference index

Step 3: Calculation of outranking flows

Step 4: Calculation of net outranking

Step 5: Selection of best alternative

END

FIGURE 1.4 Steps for PROMETHE. PROMETHE, Preference ranking organization method
for enrichment evaluation.

ð
d j a; bÞ 5 c j aðÞ 2 c j bðÞ ð1:28Þ
The preference degree of a criterion j is calculated based on the prefer-
ence function. Let P j a; bð Þ be the preference degree. It is defined as
ð
P j a; bð Þ 5 Fðd j a; bÞÞ such that 0 , FxðÞ , 1 ð1:29Þ
Step 2: Calculation of global preference index
This is calculated by multiplying the weight associated with each cri-
terion. Let w j be the weight associated with the criterion j. The global
preference index gpða; bÞ is computed as

X
gp a; bÞ 5 w j 3 P j a; bÞ ð1:30Þ
ð
ð
jAC
Step 3: Calculation of outranking flows
Two outranking flows are calculated: positive and negative; let F 1
2
and F be the positive and negative outranking flows.
1 X
1
F aðÞ 5 5 gp a; xÞ ð1:31Þ
ð
m 2 1
xAA