m-Polar Fuzzy extension of ELECTRE-II for multi-criteria group decision making (Akram & Adeel 2023)
MPF-ELECTRE-II (m-Polar Fuzzy extension of ELECTRE-II for multi-criteria group decision making (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-II is a group decision method: it expects v independent expert decision matrices Z^(1),…,Z^(v) plus expert weights α and per-expert m-PF criterion weights w_j^(u). Step 2 aggregates these via a probabilistic-sum operator BEFORE normalisation. The final result is a complete ranking via the forward+reverse+average iterative procedure on strong and weak outranking graphs. Five thresholds tune the strict/lenient mix: three concordance levels (c⁻, c°, c*) and two discordance levels (d°, d*). The relative weights γ^c, γ^i in Eq. 4.31 control how strongly the indifferent set contributes t
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 4, §4.4 The m-Polar Fuzzy ELECTRE II 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-II for multi-criteria group decision making (Akram & Adeel 2023). ScholarGate. https://scholargate.app/en/decision-making/mpf-electre-ii
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