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Home›Decision-making›Pythagorean fuzzy ELECTRE-II for group MCDM
MCDMOutrankingpythagorean

Pythagorean fuzzy ELECTRE-II for group MCDM

PF-ELECTRE-II (Pythagorean fuzzy ELECTRE-II for group MCDM) is a outranking multi-criteria decision-making (MCDM) method introduced by Akram, M.; Ilyas, F.; Garg, H. in 2021. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

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PF-ELECTRE-II
ELECTRE-IIFUZZY-ELECTRE-II

When to use it

PF-ELECTRE-II takes a per-DM stack of Pythagorean fuzzy decision matrices plus per-DM PFN importance and per-criterion per-DM PFN weights, aggregates them in Phase I via PFWA, and then in Phase II constructs three-tier concordance/discordance sets, the concordance/discordance indices ψ and δ, strong and weak outranking relations, and finally a forward/reverse/average distillation of the strong+weak outranking graph to produce a ranking. Smaller φ(a) is a better rank.

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.

Sources

  1. Akram, M., Ilyas, F., Garg, H. (2021). ELECTRE-II method for group decision-making in Pythagorean fuzzy environment. Applied Intelligence DOI: 10.1007/s10489-021-02200-0 ↗

How to cite this page

ScholarGate. (2026, June 2). Pythagorean fuzzy ELECTRE-II for group MCDM. ScholarGate. https://scholargate.app/en/decision-making/pf-electre-ii

Related methods

ELECTRE-IIFUZZY-ELECTRE-II

Which method?

Set this method beside its closest kin and read them side by side — the library lays the books on the table; the choice is yours.

  • ELECTRE-IIDecision-making↔ compare
  • FUZZY-ELECTRE-IIDecision-making↔ compare
Compare side by side →

Similar methods

MPF-ELECTRE-IIPF-VIKORMPF-ELECTRE-IPF-PROMETHEEMPF-ELECTRE-IIIBN-ELECTRE-IPF-MABACMPF-ELECTRE-IV

Related reference concepts

Decision MakingDecision Support SystemsParticipative Decision MakingCriteria for Decision-Making under Risk and UncertaintyDecision Making SkillsRole and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

Spotted an issue on this page? Report or suggest a fix →

ScholarGate — PF-ELECTRE-II (Pythagorean fuzzy ELECTRE-II for group MCDM). Retrieved 2026-07-21 from https://scholargate.app/en/decision-making/pf-electre-ii · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Akram, M.; Ilyas, F.; Garg, H.
Subfamily
Outranking
Year
2021
Type
Pythagorean outranking — Pythagorean Fuzzy Number (PFN: μ, ν, π; μ²+ν² ≤ 1)
Value Space
pythagorean
Uncertainty
epistemic
Compensation
partial
Rank Reversal
Yes
Related methods
ELECTRE-IIFUZZY-ELECTRE-II
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