2-tuple Linguistic Fermatean Fuzzy PROMETHEE (Akram-Bibi 2023)
FF-PROMETHEE (2-tuple Linguistic Fermatean Fuzzy PROMETHEE (Akram-Bibi 2023)) is a outranking multi-criteria decision-making (MCDM) method introduced by Akram, M., Bibi, R. in 1985 crisp; 2023 variant applicator. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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When to use it
FF-PROMETHEE (specifically 2TLFF-PROMETHEE per Akram-Bibi 2023) extends crisp PROMETHEE to MAGDM under Fermatean fuzzy uncertainty encoded as 2-tuple linguistic terms. Use when (i) multiple experts express criterion-by-criterion judgments in linguistic terms, (ii) hesitancy is high enough that μ²+ν² ≤ 1 (intuitionistic) or μ²+ν² > 1 but μ³+ν³ ≤ 1 (Fermatean) is needed, and (iii) outranking-style ranking is preferred over compensatory aggregation. The Gaussian preference function (σ ≈ 0.5) is the paper's default. Run Methodology 1 (Gaussian) and Methodology 2 (Usual) in parallel for robustness
Strengths & limitations
- Follows a transparent, reproducible computational procedure that can be audited step by step.
- Handles multiple criteria of differing scales and units within a single decision matrix.
- May exhibit rank reversal when alternatives are added to or removed from the set.
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Sources
- Akram, M., Bibi, R. (2023). Multi-criteria group decision-making based on an integrated PROMETHEE approach with 2-tuple linguistic Fermatean fuzzy sets. Granular Computing DOI: 10.1007/s41066-022-00359-6 ↗
How to cite this page
ScholarGate. (2026, June 2). 2-tuple Linguistic Fermatean Fuzzy PROMETHEE (Akram-Bibi 2023). ScholarGate. https://scholargate.app/en/decision-making/ff-promethee