m-Polar Fuzzy extension of ELECTRE-I (Akram, Waseem & Liu 2019)
MPF-ELECTRE-I (m-Polar Fuzzy extension of ELECTRE-I (Akram, Waseem & Liu 2019)) is a outranking multi-criteria decision-making (MCDM) method introduced by Akram, M., Waseem, N., Liu, P. in 2019. 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
MPF-ELECTRE-I produces a directed outranking graph over alternatives, not a complete numerical ranking. Read the graph: a node with high out-degree and zero in-degree dominates the field. Cells of the input matrix are m-polar tuples — each pole represents one independent criterion-attribute (e.g. sub-criteria of Infrastructure: fuel/water/transport). The pole aggregation v_{ij}=Σ y_{ij}^k preserves the multi-polar information until the final concordance comparison.
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.
Common pitfalls
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Sources
- 1.Akram, M., Waseem, N., Liu, P. (2019). Novel approach in decision making with m-polar fuzzy ELECTRE-I. International Journal of Fuzzy Systems
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ScholarGate. (2026, June 2). MPF-ELECTRE-I. ScholarGate. https://scholargate.app/decision-making/mpf-electre-i