Table 10 Ranking results based on different AOs.

AAWA³²

0.6418

0.5270

0.5046

0.5440

\(\aleph _{1}>\aleph _{4}>\aleph _{2}>\aleph _{3}\)

AAWG³²

0.5455

0.4730

0.4782

0.4754

\(\aleph _{1}>\aleph _{3}>\aleph _{4}>\aleph _{2}\)

WA²⁹

0.6061

0.5034

0.4944

0.5198

\(\aleph _{1}>\aleph _{4}>\aleph _{2}>\aleph _{3}\)

WG²⁹

0.5779

0.4888

0.4871

0.5001

\(\aleph _{1}>\aleph _{4}>\aleph _{2}>\aleph _{3}\)

CLBWA³¹

0.2194

0.1658

0.1690

0.1782

\(\aleph _{1}>\aleph _{4}>\aleph _{3}>\aleph _{2}\)

CLBWG³¹

0.8651

0.8300

0.8219

0.8315

\(\aleph _{1}>\aleph _{4}>\aleph _{2}>\aleph _{3}\)

STWA³⁰

0.8588

0.7863

0.7530

0.7843

\(\aleph _{1}>\aleph _{2}>\aleph _{4}>\aleph _{3}\)

STWG³⁰

0.8269

0.7656

0.7427

0.7628

\(\aleph _{1}>\aleph _{2}>\aleph _{4}>\aleph _{3}\)

HWA³³

0.5998

0.4999

0.4928

0.5158

\(\aleph _{1}>\aleph _{4}>\aleph _{2}>\aleph _{3}\)

HWG³³

0.5846

0.4918

0.4885

0.5044

\(\aleph _{1}>\aleph _{4}>\aleph _{2}>\aleph _{3}\)

FWA⁴⁶

0.6723

0.5648

0.5624

0.5948

\(\aleph _{1}>\aleph _{4}>\aleph _{2}>\aleph _{3}\)

FWG⁴⁶

0.6436

0.5537

0.5511

0.5725

\(\aleph _{1}>\aleph _{4}>\aleph _{2}>\aleph _{3}\)

MABAC²⁵

2.4642

1.8573

1.3688

1.6397

\(\aleph _{1}>\aleph _{2}>\aleph _{4}>\aleph _{3}\)

Proposed approach

0.6008

0.5244

0.5238

0.5342

\(\aleph _{1}>\aleph _{4}>\aleph _{2}>\aleph _{3}\)