Pythagorean extension of VIKOR
PF-VIKOR (Pythagorean extension of VIKOR) is a ranking multi-criteria decision-making (MCDM) method introduced by Abbas, S., Hussain, Z., Hussain, Z., Ali, I., Mudabar, S.M. in 2024. 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
pf-vikor extends VIKOR to handle Pythagorean uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Pythagorean Fuzzy Number (PFN: μ, ν; μ²+ν² ≤ 1) algebra. The final scores are defuzzified via score function S = μ² − ν² 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
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Sources
- 1.Abbas, S., Hussain, Z., Hussain, Z., Ali, I., Mudabar, S.M. (2024). Advanced Entropy Models in Pythagorean Fuzzy Sets: Revolutionizing Multi-Criteria Decision Making with PF-VIKOR. Fuzzy Economic Review
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Cite this page
ScholarGate. (2026, June 2). PF-VIKOR. ScholarGate. https://scholargate.app/decision-making/pf-vikor