PiF-WASPAS — Picture Fuzzy extension of WASPAS
PIF-WASPAS (PiF-WASPAS — Picture Fuzzy extension of WASPAS) is a ranking multi-criteria decision-making (MCDM) method introduced by Cuong, B. C., Kreinovich, V. in 2013. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
Read the full method
Sign in with a free account to read this section.
Method map
The neighbourhood of related methods — select a node to explore.
When to use it
pif-waspas extends Zavadskas et al. 2012 crisp WASPAS to Picture fuzzy uncertainty via Cuong 2013 PiFS. Computes BOTH a WSM component (Q^(1) via PiFN-weighted sum of cells) AND a WPM component (Q^(2) via PiFN-power product of cells using crisp criteria weights as exponents), then combines them via PiFN convex combination Q̃ = 0.5·Q^(1) ⊕ 0.5·Q^(2). Final score F_i = (μ + (1-η) + (1-ν))/3 ∈ [0,1]. Higher F_i is better. The dual WSM+WPM design provides compromise between full-compensation (sum) and limited-compensation (product) aggregation styles.
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
- Cuong, B. C., Kreinovich, V. (2013). Picture fuzzy sets — A new concept for computational intelligence problems. 2013 Third World Congress on Information and Communication Technologies (WICT 2013) DOI: 10.1109/WICT.2013.7113099 ↗
How to cite this page
ScholarGate. (2026, June 2). PiF-WASPAS — Picture Fuzzy extension of WASPAS. ScholarGate. https://scholargate.app/en/decision-making/pif-waspas
Which method?
Set this method beside its closest kin and read them side by side — the library lays the books on the table; the choice is yours.
- AHPDecision-making↔ compare
- ANPDecision-making↔ compare
- BWMDecision-making↔ compare
- BWM-BAYESIANDecision-making↔ compare
- CCSDDecision-making↔ compare
- CILOSDecision-making↔ compare
- CIMASDecision-making↔ compare
- CRITICDecision-making↔ compare