Multi-Attributive Ideal-Real Comparative Analysis
MAIRCA (Multi-Attributive Ideal-Real Comparative Analysis) is a ranking multi-criteria decision-making (MCDM) method introduced by Pamučar, D., Vasin, Lj., Lukovac, V. in 2014. 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
Q_i ≥ 0. Lower Q means the alternative's actual preference is closer to the theoretical (equal-probability) preference — i.e., it performs well across all criteria. Q=0 would mean the alternative is ideal on every criterion. MAIRCA is robust because equal probability T_Aij avoids subjective preference assumptions at the starting point.
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.
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Common pitfalls
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Sources
- 1.Pamučar, D., Vasin, Lj., Lukovac, V. (2014). Selection of railway level crossings for investing in security equipment using hybrid DEMATEL-MARICA model. XVI International Scientific-Expert Conference on Railway, Railcon
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ScholarGate. (2026, June 2). MAIRCA. ScholarGate. https://scholargate.app/decision-making/mairca