Table 5 Comparative analysis of the proposed aggregation operators with current operators.

Weighted averaging mean

\(0.72, 0.63, 0.77, 0.66, 0.61\)

Weighted geometric mean

\({0.49,0.37,0.55}, 0.42, 0.39\)

PFPAAA⁸³

Cannot handle prioritization among CPFVs

PFPAAG⁸³

Not adaptable for circular picture fuzzy data

PFWA⁸⁴

Designed for classical PFS, not CPFV

PFWG⁸⁴

Geometric aggregation; no prioritization handling

PFHWA⁸¹

Hesitant fuzzy set focused; incompatible

PFHWG⁸¹

Hesitant framework mismatch

PFFWA

Fermatean fuzzy environment, not CPFV

PFFWG

Fermatean fuzzy environment, not CPFV

PFDWA

Designed for different divergence measures