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Table 1
Standard prequalification criteria and weights
Criteria
Work experience
Technology and equipments
Management
Experience and knowledge of the operation
team
Financial stability
Quality
Being familiar with the area or being domestic
Reputation
Creativity and innovation
Construction
Water
Transportation
Industry
Energy
Utilities
Geology
Tele
communication
Agriculture
Service
10 10 10 10 10 10 10 10 10 10
20 20 20 20 20 20 20 20 20 20
10 10 20 5 10 5 20 0 10 10
20 20 30 10 20 10 40 5 20 20
2 2 2 2 2 2 2 2 2 2
5 5 5 5 5 5 5 5 5 5
10 10 10 10 10 10 10 10 10 10
20 20 20 20 20 20 20 20 20 20
20 20 20 20 20 20 20 20 20 20
30 30 30 30 30 30 30 30 30 30
5 5 5 10 5 10 5 15 5 5
10 10 10 20 10 20 10 20 10 10
10 10 10 0 0 5 10 5 10 20
20 20 20 10 10 10 20 10 20 30
10 10 10 10 10 10 10 10 10 10
10 10 10 10 10 10 10 10 10 10
5 5 5 5 5 5 5 5 5 5
15 15 15 15 15 15 15 15 15 15
100 points is the maximum score for ideal contractor, which gets at the prequalification stage and the
threshold value for elimination is 65, for criteria 2,4,5 minimum of 40% is needed. Respecting the
main criteria, to calculate the score of application, management and planning organization proposed
simple additive weighting method (SAW). Hwang and Yoon (1981) referred the decision maker
(DM) assigns importance weights to each of the property in SAW, which becomes the coefficients of
the variables. By multiplying the scale rating for each attribute value by the importance weigh and
then summing these products over all attributes, DM obtains a total score for each alternative. SAW
is very powerful method among MADM techniques.
4. An integrated VIKOR and AHP methodology
Basic definitions of fuzzy sets (Chen, 2000):
A fuzzy number is a fuzzy subset in the universe of discourse X that is both convex and normal. Fig.
1 shows a fuzzy number τ ̃ of the universe of discourse X which is both convex and normal.
The -cut of a fuzzy number τ ̃ is defined,
̃ : τ ̃ , , (1)
where [0, 1], τ ̃ is a non-empty bounded closed interval contained in X and it can be denoted by
τ α , τ α , and τ
α
and
are the lower and upper bounds of the closed interval, respectively.