Table 2 List of symbols used in the study.

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

Symbols

Representation

\({\mathfrak {U}}\)

Universal set

\({\mathfrak {C}}\)

Criteria

\(\Psi\)

Membership grade

\(\Upsilon\)

Non-membership grade

\(\omega\)

Reference parameter of membership grade

\(\varpi\)

Reference parameter of non-membership grade

\({\mathfrak {A}}\)

Alternatives

\({\mathfrak {w}}\)

Weights

\(\alpha\)

(p, q)-RLDFN

\(\xi ({\mathfrak {A}}_{i}, {\mathfrak {A}}_{j})\)

The overall preference index of alternative \({\mathfrak {A}}_{i}\) to \({\mathfrak {A}}_{j}\)

\(\phi ^{+}\)

Leveling flow

\(\phi ^{-}\)

Entering flow

\({\mathfrak {P}}\)

Preference function