Probabilistic Linguistic extension of VIKOR
PL-VIKOR (Probabilistic Linguistic extension of VIKOR) is a ranking multi-criteria decision-making (MCDM) method introduced by Li, P., Liu, J., Wei, C. in 2021. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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When to use it
pl-vikor extends VIKOR to handle Probabilistic Linguistic uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Probabilistic Linguistic Term Set (PLTS: {L_k|p_k}) algebra. The final scores are defuzzified via expected linguistic value E = Σ p_k · index(L_k) 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.
Sources
- Li, P., Liu, J., Wei, C. (2021). An Improved PL-VIKOR Model for Risk Evaluation of Technological Innovation Projects with Probabilistic Linguistic Term Sets. International Journal of Fuzzy Systems DOI: 10.1007/s40815-020-00971-1 ↗
How to cite this page
ScholarGate. (2026, June 2). Probabilistic Linguistic extension of VIKOR. ScholarGate. https://scholargate.app/en/decision-making/pl-vikor
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