Complex extension of VIKOR
CF-VIKOR (Complex extension of VIKOR) is a ranking multi-criteria decision-making (MCDM) method introduced by Ramot, D. Milo, R. Friedman, M. Kandel, A. in 2002. 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
This section is available to Pro members. Upgrade to Pro
How it works
This section is available to Pro members. Upgrade to Pro
When to use it
cf-vikor extends VIKOR to handle Complex uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Complex Fuzzy Set (CFS: amplitude r ∈ [0,1], phase ω ∈ [0,2π]) algebra. The final scores are defuzzified via real part: r·cos(ω) before ranking.
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
This section is available to Pro members. Upgrade to Pro
Sources
- 1.Ramot, D., Milo, R., Friedman, M., Kandel, A. (2002). Complex fuzzy sets. IEEE Transactions on Fuzzy Systems
You have read it. What now?
Cite this page
ScholarGate. (2026, June 2). CF-VIKOR. ScholarGate. https://scholargate.app/decision-making/cf-vikor