Table 16 Ranking proposed and different existing methods.

Extended Topsis⁴⁷

\({\widetilde{A}}_{4}>{\widetilde{A}}_{3}>{\widetilde{A}}_{1}>{\widetilde{A}}_{5}>{\widetilde{A}}_{2}\)

CODAS method⁴⁹

\({\widetilde{A}}_{4}>{\widetilde{A}}_{3}>{\widetilde{A}}_{1}>{\widetilde{A}}_{5}>{\widetilde{A}}_{2}\)

GRA method⁴⁸

\({\widetilde{A}}_{4}>{\widetilde{A}}_{3}>{\widetilde{A}}_{1}>{\widetilde{A}}_{5}>{\widetilde{A}}_{2}\)

WASPAS method⁵²

\({\widetilde{A}}_{4}>{\widetilde{A}}_{3}>{\widetilde{A}}_{1}>{\widetilde{A}}_{5}>{\widetilde{A}}_{2}\)

WS method⁵⁰

\({\widetilde{A}}_{4}>{\widetilde{A}}_{3}>{\widetilde{A}}_{1}>{\widetilde{A}}_{5}>{\widetilde{A}}_{2}\)

WP method⁵¹

\({\widetilde{A}}_{4}>{\widetilde{A}}_{3}>{\widetilde{A}}_{1}>{\widetilde{A}}_{5}>{\widetilde{A}}_{2}\)

Our proposed

\({\widetilde{A}}_{4}>{\widetilde{A}}_{3}>{\widetilde{A}}_{1}>{\widetilde{A}}_{5}>{\widetilde{A}}_{2}\)