Table 9 Ranking obtained under different methodologies.

From: Extended PROMETHEE method with (p,q)-rung linear Diophantine fuzzy sets for robot selection problem

Methodologies

Ranking

q-RLDFS22

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

(p, q)-RLDFS23

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

Linear Diophantine einstine aggregation operator40

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