COPRAS-IN — COPRAS with Interval Neutrosophic Numbers (INN)
N-COPRAS (COPRAS-IN — COPRAS with Interval Neutrosophic Numbers (INN)) is a ranking multi-criteria decision-making (MCDM) method introduced by Şahin, R. in 2019. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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When to use it
COPRAS-IN extends the crisp COPRAS method to Interval Neutrosophic Numbers (INN). Each criterion value is expressed as <[T_L,T_U],[I_L,I_U],[F_L,F_U]>. Cost and benefit criteria are separated and aggregated via INWMSM operators. The risk index λ controls decision-maker attitude: λ=0 is pessimistic (focuses on indeterminacy/falsity), λ=1 is optimistic (focuses on truth-membership). The alternative with the highest Q_i score is best.
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.
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Sources
- Şahin, R. (2019). COPRAS Method with Neutrosophic Sets. Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets, Studies in Fuzziness and Soft Computing, vol 369, Springer, Cham DOI: 10.1007/978-3-030-00045-5_19 ↗
How to cite this page
ScholarGate. (2026, June 2). COPRAS-IN — COPRAS with Interval Neutrosophic Numbers (INN). ScholarGate. https://scholargate.app/en/decision-making/n-copras
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.
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