Bipolar Neutrosophic ELECTRE-I
BN-ELECTRE-I (Bipolar Neutrosophic ELECTRE-I) is a electre family multi-criteria decision-making (MCDM) method introduced by Akram, M., Shumaiza, Smarandache, F. in 2018. 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
BN-ELECTRE-I produces a partial order (outranking graph), not a total ranking. The output is a set of non-dominated alternatives (kernel). When comparing two alternatives, three outcomes are possible: (a) outranking (π_xy=1), (b) indifference (π_xy=π_yx=1), or (c) incomparability (π_xy=π_yx=0). This is more conservative than BN-TOPSIS which forces a total order. Use BN-ELECTRE-I when you want to identify a shortlist rather than a single winner.
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.
- Results depend on the chosen normalisation, weights, and parameter settings.
Common pitfalls
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Sources
- 1.Akram, M., Shumaiza, Smarandache, F. (2018). Decision-Making with Bipolar Neutrosophic TOPSIS and Bipolar Neutrosophic ELECTRE-I. Axioms
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Cite this page
ScholarGate. (2026, June 2). BN-ELECTRE-I. ScholarGate. https://scholargate.app/decision-making/bn-electre-i