A Solution Approach for Agricultural Service Center Location Problem Using TOPSIS, DEA and SAW Techniques - Technology Management for Sustainable Production and Logistics - page 31

where, each P ij is calculated as an estimate of the probability distribution for the
attributes by:

z ij

P ij =

n

∀ i , j

(6)

i = 1 z ij

And k is a constant coefficient equal to:

1
ln ( n )

k =

(7)

Uncertainty or degree of deviation of the data for index j , namely d j , states how
much information each of the criterion indexed by j contains for decision making,
i.e. how much information it is. This value is obtained simple as:

d j = 1 − E j ∀ j

(8)

Then, the weight of each criterion is calculated by:

d j

w j = ∀ j

(9)

n
i = 1 d j

Next step is MADM method development. In this chapter, totally seven MADM
method applied to find best location for ASC. In this section, six MADM methods
are described. The methods are different combination of SAW, TOPSIS and DEA.
The characteristics of these methods are illustrated in Fig. 3 .

2.5 TOPSIS Technique

TOPSIS is a multiple criteria decision making method which is initially devel-
oped by Hwang and Yoon ( 1981 ). The technique is based on the idea that the

Fig. 3 The characteristics of integrated MADM methods