A Solution Approach for Agricultural Service Center Location Problem Using TOPSIS, DEA and SAW Techniques - Technology Management for Sustainable Production and Logistics - page 39

Table 4 The local weight
of location attributes which
calculated by FAHP

Attribute Importance weight ω I

0.212

Support χ 1

0.202

Population and cultivated lands χ 2

Accessibility χ 3 0.201

0.194

Tractor and machinery availability χ 4

0.189

The value of service demand χ 5

Table 5 The FAHP and Shannon's entropy weighted attribute data for Boqrati district

Candidate
locations

Attributes
χ 1

χ 1

χ 2

χ 2

χ 3

χ 3

χ 4

χ 4

χ 5

χ 5

0.005 0.005 0.105 0.119 0.006 0.006 0.173 0.134 0.114 0.122

Urte-qamish

Baba-nazar 0.266 0.290 0.404 0.457 0.090 0.083 0.000 0.000 0.136 0.146

Tape-dibi 0.211 0.230 0.103 0.116 0.093 0.087 0.135 0.104 0.122 0.131

0.004 0.005 0.067 0.076 0.000 0.000 0.218 0.169 0.112 0.120

Chahar-
bolaq

Churmagh 0.139 0.152 0.209 0.236 0.074 0.069 0.076 0.059 0.378 0.406

Qeinarje 0.174 0.189 0.271 0.307 0.084 0.078 0.128 0.099 0.132 0.142

0.118 0.128 0.142 0.160 0.058 0.054 0.124 0.096 0.346 0.372

Qaderkhalaj

Qarakand 0.073 0.080 0.133 0.150 0.044 0.041 0.095 0.073 0.224 0.241

0.117 0.127 0.057 0.064 0.045 0.041 0.176 0.136 0.063 0.068

Qalejuq-
zamani

0.151 0.165 0.089 0.101 0.075 0.069 0.193 0.150 0.063 0.068

Qale-zandlij

Gunduz 0.162 0.177 0.224 0.254 0.081 0.075 0.118 0.092 0.131 0.141

0.123 0.134 0.062 0.070 0.059 0.055 0.159 0.123 0.240 0.258

Mazrae-
deimur

0.150 0.164 0.073 0.082 0.065 0.060 0.251 0.195 0.063 0.068

Yarmche-
baq

a The results of FAHP method
b The results of Shannon's entropy method

As can be seen in the ranking results, the ranks of candidate locations seem
relatively different in all MADM methods. So the Friedman test was applied to
test this hypothesis that is the results of different ranking approached are same?
Table 8 has been shown the Friedman test for all MADM methods. As can be
seen in the results, the Friedman tests indicate that no meaningful differences are
between the MADM methods. To use the benefits of all integrated MADM meth-
ods, the median all of rankings of each candidate location has been used to deter-
mine the final ranking of each candidate location for ASC.
The high ranked locations (first to third candidates) for locating ASC on them
for Boqrati district is illustrated on map in Fig. 7 . The related maps of other dis-
tricts can be seen in Appendix 2.