Table 5 Sensitivity analysis w.r.t. weights of characteristics.

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

Values of new weights

Values of score function

Ranking

\(\{0.2655,0.1257,0.1897,0.1266,0.2925\}\)

\(Scr({\mathcal {N}}_{1})=2.8237\), \(Scr({\mathcal {N}}_{2})=2.8181\), \(Scr({\mathcal {N}}_{3})=1.6594\), \(Scr({\mathcal {N}}_{4})=2.7591\), \(Scr({\mathcal {N}}_{5})=2.5299\)

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

\(\{0.2860,0.1596,0.2651,0.1986,0.0911\}\)

\(Scr({\mathcal {N}}_{1})=3.1294\), \(Scr({\mathcal {N}}_{2})=2.7215\), \(Scr({\mathcal {N}}_{3})=1.9847\), \(Scr({\mathcal {N}}_{4})=2.7021\), \(Scr({\mathcal {N}}_{5})=2.3182\)

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

\(\{0.1971,0.1860,0.2569,0.2156,0.1444\}\)

\(Scr({\mathcal {N}}_{1})=3.0474\), \(Scr({\mathcal {N}}_{2})=3.0281\), \(Scr({\mathcal {N}}_{3})=1.9745\), \(Scr({\mathcal {N}}_{4})=2.6090\), \(Scr({\mathcal {N}}_{5})=2.2132\)

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

\(\{0.2151,0.1699,0.2598,0.1081,0.2471\}\)

\(Scr({\mathcal {N}}_{1})=1.9623\), \(Scr({\mathcal {N}}_{2})=1.3800\), \(Scr({\mathcal {N}}_{3})=0.9106\), \(Scr({\mathcal {N}}_{4})=1.4170\), \(Scr({\mathcal {N}}_{5})=1.3772\)

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

\(\{0.1616,0.2659,0.2830,0.1591,0.1304\}\)

\(Scr({\mathcal {N}}_{1})=2.0960\), \(Scr({\mathcal {N}}_{2})=1.5521\), \(Scr({\mathcal {N}}_{3})=1.1748\), \(Scr({\mathcal {N}}_{4})=0.7717\), \(Scr({\mathcal {N}}_{5})=1.4338\)

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

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