Table 10 Ranking outcomes via exciting and proposed models.

From: Novel concept of linguistic fractional fuzzy information for effective water filtration decision-making problem based on WASPAS method

Approaches

\({\mathcal{A}}_{1}\)

\({\mathcal{A}}_{2}\)

\({\mathcal{A}}_{3}\)

\({\mathcal{A}}_{4}\)

\({\mathcal{A}}_{5}\)

GRA55

0.488

0.417

0.502

0.452

0.463

CoCoSo56

1.983

1.707

2.093

1.905

2.043

EDAS27

0.597

0.217

0.623

0.282

0.583

MOORA32

0.229

0.130

0.234

0.180

0.224

Proposed WASPAS method

0.254

0.188

0.276

0.228

0.240

Proposed LFFWA operator

0.278

0.226

0.307

0.244

0.269