Cubic-WASPAS — Cubic extension of WASPAS
CUBIC-WASPAS (Cubic-WASPAS — Cubic extension of WASPAS) is a ranking multi-criteria decision-making (MCDM) method introduced by Jun, Y. B. Kim, C. S. Yang, K. O. in 2012. 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
cubic-waspas extends WASPAS to handle Cubic uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Cubic Fuzzy Set (CuFS: interval [a,b] for internal membership, scalar λ for external) algebra. The final scores are defuzzified via P-order: (a⁻+a⁺)/2 and λ combined 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.Jun, Y. B., Kim, C. S., Yang, K. O. (2012). Cubic sets. Annals of Fuzzy Mathematics and Informatics
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ScholarGate. (2026, June 2). CUBIC-WASPAS. ScholarGate. https://scholargate.app/decision-making/cubic-waspas