Numerical Example Weighted Least Square Method for Assessing Weights

 

Thetask is to chosen the best place for water power plant construction. The decision-maker filled the Saaty’s matrix for following criteria:


1.Number of labour

2.Output

3.Investment Costs

4.Operation Costs

5.Number of Evacuated Villages

6.Operational Reliability

 
Criterion 1 Criterion 2 Criterion 3 Criterion 4 Criterion 5 Criterion 6
Criterion 1 1 1/3 1/4 1/3 1/2 1
Criterion 2 3 1 1/2 2 3 3
Criterion 3 4 2 1 2 3 4
Criterion 4 3 1/2 1/2 1 3 3
Criterion 5 2 1/3 1/3 1/3 1 1
Criterion 6 1 1/3 1/4 1/3 1 1


 

(1) Calculate product of all numbers in lines :

(2) 6-th root of the product

(3) sum of all roots:

(4) geometrical average of each line: is the weight ofi-th criterion:

 

(1)
(2)
(3)
(4)
0,0139
0,4903
7,1973
0,0681
27,0000
1,7321
0,2407
192,0000
2,4019
0,3337
6,7500
1,3747
0,1910
0,0741
0,6481
0,0900
0,0278
0,5503
0,0765