PF-PROMETHEE - Pythagorean extension of PROMETHEE

Overview

pf-promethee extends PROMETHEE to handle Pythagorean uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Pythagorean Fuzzy Number (PFN: μ, ν; μ²+ν² ≤ 1) algebra. The final scores are defuzzified via score function S = μ² − ν² before ranking.

Output

preference flow, higher is better

Data

Pythagorean Fuzzy, uncertainty tuples complete

Weights

Needs a weight source

Size

2+ alternatives, 3-10 criteria works best

Used for

Pythagorean Fuzzy MCDM, MAGDM under epistemic uncertainty, expert-driven evaluation with linguistic terms

Look elsewhere when

Assumptions to verify

• Thresholds (q, p, v) can be expressed in Pythagorean Fuzzy scale
• Veto + concordance semantics adapted to fuzzy arithmetic

Edge cases and pitfalls

• Value-space violation: ensure all entries satisfy PFN: μ ∈ [0,1], ν ∈ [0,1], μ²+ν² ≤ 1 before computation.

• Defuzzification method affects ranking: score function S = μ² − ν² is the canonical choice but alternatives exist.

Works with

How to cite