Table 33 Comparison between FNBSS35, IFNBSS36, and the proposed PFNBSS models, based on the scenario in Subsection 4.2.

From: Pythagorean fuzzy N-bipolar soft sets-based multi-criteria decision-making framework for sustainability evaluation and risk assessment in manufacturing industries

Models

\(\ell _1\)

\(\ell _2\)

\(\ell _3\)

\(\ell _4\)

\(\ell _5\)

Ranking Order

FNBSS35

\(-0.10\)

0.90

\(-0.20\)

1.50

\(-0.20\)

\(\ell _4 \succ \ell _2 \succ \ell _1 \succ \ell _5 = \ell _3\)

IFNBSS36

\(-0.70\)

2.10

\(-0.90\)

2.50

\(-0.90\)

\(\ell _4 \succ \ell _2 \succ \ell _1 \succ \ell _5 = \ell _3\)

PFNBSS (Proposed)

\(-0.51\)

1.71

\(-0.65\)

2.29

\(-0.57\)

\(\ell _4 \succ \ell _2 \succ \ell _1 \succ \ell _5 \succ \ell _3\)