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Multi-criteria Decision Making Using Hybrid methods for Supplier Selection in the Clothing Industry

Mourad Lahdhiri
Mourad Lahdhiri
, 
Amel Babay
Amel Babay
 e 
Mohamed Jmali
Mohamed Jmali
   | 02 giu 2022
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INFORMAZIONI SU QUESTO ARTICOLO
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Article Category: Research Article
Pubblicato online: 02 giu 2022
Pagine: 23 - 34
DOI: https://doi.org/10.2478/ftee-2022-0004
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© 2022 Mourad Lahdhiri et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

Methodology of the study
Methodology of the study

Fig. 2

Classification of criteria
Classification of criteria

Fig. 3

Ratio of coincidence of supplier rankings between the AHP-TOPSIS, AHP-WSM, and AHP-WPM models and the choice of supply chain manager
Ratio of coincidence of supplier rankings between the AHP-TOPSIS, AHP-WSM, and AHP-WPM models and the choice of supply chain manager

Fig. 4

MCDM application interface for supplier selection
MCDM application interface for supplier selection

Fig. 5

Decision-aided application performance
Decision-aided application performance

Normalised matrix

C1 C2 C3 …. Cm
A1 Y11 Y12 Y13 … Y1m
A2 Y11 Y22 Y23 … Y2m
A3 Y31 Y32 Y33 … Y3m
.. … … … … …
An Yn1 Yn2 Yn3 … Ynm

Investigation results for the 10 experts

Investigation First 4 criteria Weight Investigation First 4 criteria Weight
Expert 1 Quality 0.06 Expert 6 Compliance to deadlines 0.06
Cost 0.10 Cost 0.11
Compliance to deadlines 0.32 Quality 0.29
Compliance to quantity 0.53 Compliance to quantity 0.54
Expert 2 Cost 0.50 Expert 7 Ease of production 0.07
Guarantee 0.17 Social relationship 0.12
Ease of production 0.05 Quantity 0.26
Compliance to deadlines 0.27 Management and organisation 0.56
Expert 3 Compliance to quantity 0.07 Expert 8 Ease of production 0.06
Quality 0.15 Financial situation 0.10
Cost 0.29 Compliance to quantity 0.32
Compliance to deadlines 0.49 Quality 0.53
Expert 4 Development 0.55 Expert 9 Quality 0.55
Geographical location 0.26 Compliance to quantity 0.26
Cost 0.14 Compliance to deadlines 0.14
Quality 0.05 Guarantee 0.05
Expert 5 Guarantee 0.06 Expert 10 Environment 0.06
Financial situation 0.10 Financial situation 0.10
Cost 0.32 Compliance to quantity 0.32
Quality 0.53 Compliance to de+adlines 0.53

ANOVA for the three MCDM methods

Source of variation SS Df MS F P-value F crit
Between groups 0.143 2 0.071 15.131 1.431E-06 3.073
Within groups 0.555 117 0.004
Total 0.699 119

Pair-wise comparison matrix of criterion

Criteria C1 C2 C3 …. Cn
C1 1 W1/W2 W1/W3 …. W1/Wn
C2 W2/W1 1 W2/W3 …. W2/Wn
C3 W3/W1 W3/W2 1 …. W3/Wn
.. … …. … 1 …
Cn Wn/W1 Wn/W2 Wn/W3 Wn/W.. 1

Separation measures

Cost Quality Compliance to quantity Compliance to deadlines Si+ Si−
S1 0.02 0.10 0.13 0.33 0.01 0.05
S2 0.07 0.10 0.13 0.33 0.05 0.03
S3 0.01 0.06 0.13 0.32 0.03 0.05

Normalisation Matrix

Criteria C1 C2 C3 …. Cn
C1 X11 X12 X13 … X1n
C2 X11 X22 X23 … X2n
C3 X31 X32 X33 … X3n
.. … … … … …
Cn Xn1 Xn2 Xn3 … Xnn

Pair-wise comparison matrix

Criteria Cost piece Quality Compliance to quantity Compliance to deadlines
Cost/piece 1 0.33 0.2 0.14
Quality 3 1 0.5 0.33
Compliance to quantity 5 2 1 0.2
Compliance to deadlines 7 3 5 1

Weighted normalised decision matrix

C1 C2 C3 …. Cm
A1 Y11 ^W1 Y12^W2 Y13^W3 … Y1m^Wm
A2 Y11^W1 Y22^W2 Y23^W3 … Y2m^Wm
A3 Y31^W1 Y32^W2 Y33^W3 … Y3m^Wm
.. … … … … …
An Yn1^W1 Yn2^W2 Yn3^W3 … Ynm^Wm

Normalisation matrix

Cost Quality Compliance to quantity Compliance to deadlines
S1 0.31 0.64 0.58 0.58
S2 0.93 0.64 0.58 0.58
S3 0.19 0.43 0.58 0.57

Relative closeness and rank of suppliers

Si+ Si− Ri Rank
S1 0.01 0.05 0.87 1
S2 0.05 0.03 0.39 3
S3 0.03 0.05 0.61 2

AHP-WSM Normalised matrix

Cost Quality Compliance to quantity Compliance to deadlines
S1 0.63 1.00 1 1.00
S2 0.21 1.00 1 1.00
S3 1.00 0.67 1 0.98

Decision matrix

Cost Quality Compliance to quantity Compliance to deadlines
S1 0.197 3 1 0.96
S2 0.6 3 1 0.96
S3 0.125 2 1 0,94

AHP-WPM suppliers rank

Score Suppliers rank
S1 0.97 1
S2 0.94 2
S3 0.93 3

Normalization Matrix

Criteria Cost / piece Quality Compliance to quantity Compliance to deadlines Average vector: W
Cost/piece 0.06 0.05 0.03 0.09 0.07
Quality 0.19 0.16 0.07 0.20 0.15
Compliance to quantity 0.31 0.32 0.15 0.12 0.22
Compliance to deadlines 0.44 0.47 0.75 0.60 0.56

Decision Matrix

C1 C2 C3 …. Cm
A1 X11 X12 X13 … X1n
A2 X11 X22 X23 … X2n
A3 X31 X32 X33 … X3n
.. … … … … …
An Xn1 Xn2 Xn3 … Xnn

AHP-WSM Weighted normalised matrix

Cost Quality Compliance to quantity Compliance to deadlines
S1 0.63 1.00 1 1.00
S2 0.21 1.00 1 1.00
S3 1.00 0.67 1 0.98

List of criteria

N° Criteria N° Criteria
1 Cost 11 Ease of production
2 Quality 12 Environment
3 Compliance to quantity 13 Free sampling
4 Compliance to deadlines 14 Minimum production capacity
5 Social relationship 15 Technical capacity
6 Guarantee 16 Purchase volume in the past
7 Financial situation 17 Process conformity
8 Development 18 Certification
9 Geographical location 19 Control of operations
10 Management and organisation 20 Training and support

Saaty’s 1–9 scale for pair-wise comparisons

Numerical rate Verbal judgment of preference
1 Equal importance
3 Weak importance of one over another
5 Essential or strong importance
7 Demonstrated importance
9 Absolute importance
2, 4, 6, 8 Intermediate values between the two adjacent judgments

Positive ideal and negative ideal solution

Cost Quality Compliance to quantity Compliance to deadlines
S1 0.02 0.10 0.13 0.33
S2 0.07 0.10 0.13 0.33
S3 0.01 0.06 0.13 0.32
V+ 0.01 0.10 0.13 0.33
V− 0.07 0.06 0.13 0.32

Statistical study of each method pair

Method pair σ xy σ x σ y R xy standard deviation
AHP-TOPSIS and AHP-WSM 0.0015 0.11 0.05 0.29 0.089
AHP-TOPSIS and AHP-WPM 0.00094 0.1 0.018 0.47 0.08
AHP-WSM and AHP-WPM 0.00014 0.048 0..018 0.16 0.03

AHP-WSM Suppliers rank

Score Supplier’s rank
S1 0.97 1
S2 0.94 2
S3 0.93 3

AHP-WPM weighted normalised matrix

Cost Quality Compliance to quantity Compliance to deadlines
S1 0.63 1.00 1 1.00
S2 0.21 1.00 1 1,00
S3 1.00 0.67 1 0.98

Weighted normalised matrix

Cost Quality Compliance to quantity Compliance to deadlines
S1 0.02 0.10 0.13 0.33
S2 0.07 0.10 0.13 0.33
S3 0.01 0.06 0.13 0.32

Test evaluation (part 1)

Purchase order number Item Supplier selected by company Supplier selected by AHP-TOPSIS Rank of supplier Supplier selected by AHP-WSM Rank of supplier Supplier selected by AHP-WPM Rank of supplier
1 Stopper FX FX 1 FY 2 FY 2
2 Label kontakt AY AY 1 AB 4 AB 4
3 Label brice FS FS 1 FR 3 FR 2
4 Fringe XA XA 1 XR 2 XA 1
5 Yarn 100% cotton ZD ZA 2 ZD 1 ZA 2
6 Elastic CA CA 1 CX 2 CA 1
7 Zipper L18 cm DZ DR 1 DR 1 DR 1
8 Button 2 HOLE 25 IL IJ 2 IL 1 IJ 2
9 Ribbon WK WK 1 WK 1 WK 1
10 Buckle HI HX 3 HX 2 HX 2
11 Hangtag –vms X1 X1 1 X1 1 X1 1
12 Rivet 84061 B1 B1 1 B2 2 B2 2
13 Rivet 84425 C1 C1 1 C1 1 C1 1
14 Button 11631 CF CF 1 CR 2 CF 1
15 Scotch Y1 Y1 1 Y1 1 Y1 1
16 Button 4 Hole 28″ A1 A1 1 A1 1 A1 1
17 Zip 14.5cm G1 G1 1 G1 1 G1 1
18 Buckle 1cm G1 G1 1 G1 1 G1 1
19 Confection sticker - H1 H1 1 H1 1 H1 1
20 Bias Tape 100 % W1 W1 1 W1 1 W1 1
21 Leather10895 U1 U1 1 U1 1 U1 1
22 Zip L16.5cm G1 G1 1 G1 1 G1 1
23 Yarn Tex 60 Dual Duty 5000mts-fil T1 T1 1 T1 1 T1 1
24 Sangle nastro spinato 30/2 PXT mm.60 R1 R1 1 O1 2 R1 1
25 Sticker dim 100*150 BR BR 1 BR 1 BR 1
26 Plastic cover FR FR 1 V 1 FR 1
27 Hang Tag Retro BG BG 1 BG 1 BG 1
28 Ribbon polyamide FH FH 1 FH 1 FH 1
29 Button tack metal FT FT 1 FT 1 FT 1
30 Button jeans 20mm XS XS 1 XS 1 XS 1
31 Rivet laiton de 2 cm XS XS 1 XS 1 V 1
32 Leather belt GH GH 1 GH 1 GH 1
33 Yarn col 439 Super Twist N°20 20gr/fil XR XR 1 XR 1 XR 1
34 Strap ecru XY XY 1 XY 1 XY 1
35 Buckle overalls BJ BJ 1 BJ 1 BJ 1
36 Zip L43cm RGKB BN BN 1 BN 1 BN 1
37 Confection sticker-Care Label VH VH 1 VH 1 VH 1
38 Finishing sticker -VMS VY VY 1 VY 1 VY 1
39 Finishing sticker women SML SML 1 SML 1 SML 1
40 Metal overalls buckle accessory Internal diameter 3.8 cm White SF SF 1 SF 1 SF 1
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