Table 6 Evaluation of existing operators in comparison to current operators58.

From: A novel probabilistic q-rung orthopair linguistic neutrosophic information-based method for rating nanoparticles in various sectors

Different operators

Score function values

Ranking

m-polar-DNNSSWAA58

\(Scr({\mathcal {N}}_{1})=0.4425\), \(Scr({\mathcal {N}}_{2})=0.4718\), \(Scr({\mathcal {N}}_{3})=0.4449\), \(Scr({\mathcal {N}}_{4})=0.4556\), \(Scr({\mathcal {N}}_{5})=0.4204\)

\({\mathcal {N}}_{2}>{\mathcal {N}}_{4}>{\mathcal {N}}_{3}>{\mathcal {N}}_{1}>{\mathcal {N}}_{5}\)

m-polar-DNNSSWGA58

\(Scr({\mathcal {N}}_{1})=0.3829\), \(Scr({\mathcal {N}}_{2})=0.3568\), \(Scr({\mathcal {N}}_{3})=0.3650\), \(Scr({\mathcal {N}}_{4})=0.3673\), \(Scr({\mathcal {N}}_{5})=0.3711\)

\({\mathcal {N}}_{1}>{\mathcal {N}}_{5}>{\mathcal {N}}_{4}>{\mathcal {N}}_{3}>{\mathcal {N}}_{2}\)

P-q-RLNWAA (proposed operator)

\(Scr({\mathcal {N}}_{1})=2.9304\), \(Scr({\mathcal {N}}_{2})=3.0689\), \(Scr({\mathcal {N}}_{3})=2.0507\), \(Scr({\mathcal {N}}_{4})=2.8417\), \(Scr({\mathcal {N}}_{5})=2.4107\)

\({\mathcal {N}}_{2}>{\mathcal {N}}_{1}>{\mathcal {N}}_{4}>{\mathcal {N}}_{5}>{\mathcal {N}}_{3}\)

P-q-RLNWGA (proposed operator)

\(Scr({\mathcal {N}}_{1})=1.8361\), \(Scr({\mathcal {N}}_{2})=1.2721\), \(Scr({\mathcal {N}}_{3})=1.1856\), \(Scr({\mathcal {N}}_{4})=1.5326\), \(Scr({\mathcal {N}}_{5})=1.3580\)

\({\mathcal {N}}_{1}>{\mathcal {N}}_{4}>{\mathcal {N}}_{5}>{\mathcal {N}}_{2}>{\mathcal {N}}_{3}\)