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4 Case Study
In this section, we present the application of the proposed approach on an oven
manufacturing organization in Poland. The name of the company is not revealed for
con
dentiality reasons. Three experts from the organization are involved. One is
manager in the production (D1) department and the other two are in purchasing
(D2) and quality control (D3) department. Three suppliers (A1, A2, A3) were
assessed for quality. The decision makers evaluated the three suppliers using the
quality criteria provided in Table 1 . The linguistic ratings for criteria are given
using Table 3 and for the three suppliers using Table 2 . These results can be found
in Tables 4 and 5 respectively.
4.1 Fuzzy TOPSIS
Once the ratings are received, fuzzy TOPSIS is applied to generate overall per-
formance scores for quality for the three suppliers. The aggregated fuzzy weights
(
w ij ) of each criterion are calculated using Eq. ( 3 ). For example, for criteria C1, the
aggregated fuzzy weight is given by
~
w j ¼ ð
~
w j1 ;
w j2 ;
w j3 Þ
where
Table 4 Linguistic
assessments for the 17 criteria
Criteria
Decision makers
D1
D2
D3
C1
H
M
VH
C2
VL
VH
L
C3
L
L
VH
C4
VL
H
VH
C5
VL
M
H
C6
M
VH
M
C7
H
5
H
C8
M
M
H
C9
VH
H
H
C10
M
H
H
C11
VH
H
H
C12
VH
H
H
C13
M
VH
M
C14
H
H
H
C15
L
H
VL
C16
M
VL
VH
C17
H
M
L
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