Bipolar extension of VIKOR
BF-VIKOR (Bipolar extension of VIKOR) is a ranking multi-criteria decision-making (MCDM) method introduced by Opricovic in 1998. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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When to use it
bf-vikor extends VIKOR to handle Bipolar uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Bipolar Fuzzy Set (BFS: positive membership μ⁺ ∈ [0,1], negative μ⁻ ∈ [-1,0]) algebra. The final scores are defuzzified via score (μ⁺ + μ⁻)/2 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
- Alghamdi, M. A., Alshehri, N. O., Akram, M. (2018). Multi-criteria decision-making methods in bipolar fuzzy environment. International Journal of Fuzzy Systems DOI: 10.1007/s40815-018-0499-y ↗
How to cite this page
ScholarGate. (2026, June 2). Bipolar extension of VIKOR. ScholarGate. https://scholargate.app/en/decision-making/bf-vikor
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