Neutrosophic extension of PROMETHEE
N-PROMETHEE (Neutrosophic extension of PROMETHEE) is a outranking multi-criteria decision-making (MCDM) method introduced by Abdel-Basset, M., Mohamed, M., Smarandache, F. in 2018. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
Key highlights
- 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.
Intuition
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How it works
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When to use it
n-promethee extends PROMETHEE to handle Neutrosophic uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Single-Valued Neutrosophic Set (SVNS: T, I, F; T,I,F ∈ [0,1], T+I+F ≤ 3) algebra. The final scores are defuzzified via score function S = (T − F + 1)/2 before ranking.
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.
Common pitfalls
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Sources
- 1.Xu, D., Wei, X., Ding, H., Bin, H. (2020). A New Method Based on PROMETHEE and TODIM for Multi-Attribute Decision-Making with Single-Valued Neutrosophic Sets. Mathematics
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Cite this page
ScholarGate. (2026, June 2). N-PROMETHEE. ScholarGate. https://scholargate.app/decision-making/n-promethee