Triangular Intuitionistic Fuzzy Number CODAS (Daami Remadi & Frikha 2023)
TIFN-CODAS (Triangular Intuitionistic Fuzzy Number CODAS (Daami Remadi & Frikha 2023)) is a ranking multi-criteria decision-making (MCDM) method introduced by Atanassov, K. T. in 1986. 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
TIFN-CODAS extends classical CODAS (Keshavarz Ghorabaee 2016) to handle Triangular Intuitionistic Fuzzy uncertainty (Li-Nan-Zhang 2010 TIFN over Atanassov 1986 IFS). Linguistic ratings are mapped to TIFNs via a fixed 7-point scale (paper Table 1). TIFN arithmetic (normalize → weight) is performed in fuzzy space, then defuzzified via Gani-Abbas (2014) weighted-average to crisp scalars before applying CODAS distances (Euclidean L2 + Taxicab L1) from the TIFN negative-ideal. Combined assessment uses threshold ψ (default τ = 0.02) to recognize equivalent Euclidean distances. For MCGDM (l > 1), ind
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.
Common pitfalls
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Sources
- 1.Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems
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ScholarGate. (2026, June 2). TIFN-CODAS. ScholarGate. https://scholargate.app/decision-making/tifn-codas