Rough-VIKOR — Rough extension of VIKOR
ROUGH-VIKOR (Rough-VIKOR — Rough extension of VIKOR) is a ranking multi-criteria decision-making (MCDM) method introduced by Zhu, G. Hu, J. Qi, J. Gu, C. Peng, Y. in 2015. 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
ROUGH-VIKOR (Zhu et al. 2015) extends VIKOR to rough [L,U] intervals. PIS/NIS (f*/f-) are crisp scalars derived from bound extremes — no defuzzification at this step. S and R are rough intervals computed via bound-specific ratio arithmetic (w^L with ratio^L, w^U with ratio^U). Rough Q [L,U] is computed component-wise using crisp extremes S*/S^-/R*/R^-. Final ranking is by Q midpoint (L+U)/2 ascending — lower Q means better rank.
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.Zhu, G., Hu, J., Qi, J., Gu, C., Peng, Y. (2015). An integrated AHP and VIKOR for design concept evaluation based on rough number. Advanced Engineering Informatics
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ScholarGate. (2026, June 2). ROUGH-VIKOR. ScholarGate. https://scholargate.app/decision-making/rough-vikor