Table 13 Normalized S/N ratio, GRC and GRG.

From: Experimental investigation on mechanical properties of iron metal matrix reinforced with MAX phase V2AlC-GO

Sample

Normalized S/N ratio (\({\text{Y}}_{\text{ij}}\))

Grey relational coefficient (\({\updelta }_{\text{ij}}\))

GRG (\({\upbeta }_{\text{ij}}\))

Rank

ρ

ɸ

HV

ρ

ɸ

HV

S1

0.532

0.553

0

0.517

0.528

0.333

0.459

9

S2

0.000

1.000

0.111

0.333

1.000

0.360

0.564

4

S3

0.338

0.711

0.048

0.430

0.634

0.344

0.469

7

S4

0.420

0.622

1

0.463

0.570

1.000

0.677

1

S5

0.803

0.272

0.181

0.718

0.407

0.379

0.501

6

S6

0.516

0.542

0.158

0.508

0.522

0.373

0.468

8

S7

1.000

0.000

0.299

1.000

0.333

0.416

0.583

3

S8

0.032

0.904

0.167

0.341

0.838

0.375

0.518

5

S9

0.521

0.563

0.857

0.511

0.534

0.777

0.607

2