Fuzzy ELECTRE III — Fuzzy extension of ELECTRE-III
FUZZY-ELECTRE-III (Fuzzy ELECTRE III — Fuzzy extension of ELECTRE-III) is a outranking multi-criteria decision-making (MCDM) method introduced by Montazer, G. A., Qahri Saremi, H., Ramezani, M. (precursor: Qahri Saremi & Montazer 2007 WSEAS) in 2009. 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
fuzzy-electre-iii extends ELECTRE-III to handle Fuzzy uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Triangular Fuzzy Number (TFN: l, m, u) algebra. The final scores are defuzzified via centroid (l+m+u)/3 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.Montazer, G. A., Qahri Saremi, H., Ramezani, M. (2009). Design a new mixed expert decision aiding system using fuzzy ELECTRE III method for vendor selection. Expert Systems with Applications
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ScholarGate. (2026, June 2). FUZZY-ELECTRE-III. ScholarGate. https://scholargate.app/decision-making/fuzzy-electre-iii