m-Polar Fuzzy extension of ELECTRE-III with pseudo-criterion thresholds, Shannon-entropy objective weights and Li–Wang net credibility ranking (Akram & Adeel 2023)
MPF-ELECTRE-III (m-Polar Fuzzy extension of ELECTRE-III with pseudo-criterion thresholds, Shannon-entropy objective weights and Li–Wang net credibility ranking (Akram & Adeel 2023)) is a outranking multi-criteria decision-making (MCDM) method introduced by Akram, M., Adeel, A. in 2023. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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When to use it
MPF-ELECTRE-III is a group decision method with three innovations over MPF-ELECTRE-II: (1) it derives objective scalar criterion weights internally via Shannon's entropy formula (Eqs. 5.4–5.8), so no externally elicited weights are required; (2) it replaces binary concordance/discordance with pseudo-criterion partial indices governed by three per-criterion thresholds — indifference q_j, preference p_j and veto ν_j (Table 5.9 in the case study); (3) it ranks via the Li–Wang net credibility γ(x_p) = γ^+(x_p) − γ^-(x_p) in descending order — no Belton-Stewart distillation. The pseudo-criterion mo
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.
Sources
- Akram, M., Adeel, A. (2023). MCDM Methods with Multi-polar Fuzzy Information — Chapter 5, §5.2 An m-Polar Fuzzy ELECTRE III Method. Studies in Fuzziness and Soft Computing, vol. 430, Springer Nature link ↗
How to cite this page
ScholarGate. (2026, June 2). m-Polar Fuzzy extension of ELECTRE-III with pseudo-criterion thresholds, Shannon-entropy objective weights and Li–Wang net credibility ranking (Akram & Adeel 2023). ScholarGate. https://scholargate.app/en/decision-making/mpf-electre-iii