MCDMDecision-makingOutrankingMath steps

m-Polar Fuzzy extension of ELECTRE-II for multi-criteria group decision making (Akram & Adeel 2023)

OriginatorAkram, M., Adeel, A.Year2023Sources1Related methods8

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.

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

This section is available to Pro members. Upgrade to Pro

How it works

This section is available to Pro members. Upgrade to Pro

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

Strengths
  • 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.
Limitations
  • May exhibit rank reversal when alternatives are added to or removed from the set.

Common pitfalls

This section is available to Pro members. Upgrade to Pro

Sources

  1. 1.
    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

You have read it. What now?

Cite this page

ScholarGate. (2026, June 2). MPF-ELECTRE-II. ScholarGate. https://scholargate.app/decision-making/mpf-electre-ii