Fermatean extension of FF-WPM
FF-WPM (Fermatean extension of FF-WPM) is a ranking multi-criteria decision-making (MCDM) method introduced by Senapati, T. Yager, R. R. in 2020. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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When to use it
ff-wpm extends FF-WPM to handle Fermatean uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Fermatean Fuzzy Set (FFS: μ, ν; μ³+ν³ ≤ 1) algebra. The final scores are defuzzified via score function S = μ³ − ν³ 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.
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Sources
- Senapati, T., Yager, R. R. (2020). Fermatean fuzzy sets. Journal of Ambient Intelligence and Humanized Computing DOI: 10.1007/s12652-019-01377-0 ↗
How to cite this page
ScholarGate. (2026, June 2). Fermatean extension of FF-WPM. ScholarGate. https://scholargate.app/en/decision-making/ff-wpm
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