Cubic-TOPSIS — Cubic extension of TOPSIS
CUBIC-TOPSIS (Cubic-TOPSIS — Cubic extension of TOPSIS) is a ranking multi-criteria decision-making (MCDM) method introduced by Garg, H., Kaur, G. in 2018. 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-TOPSIS (Garg & Kaur 2018) extends TOPSIS to Cubic Intuitionistic Fuzzy Numbers (CIFNs). Each entry encodes both IVIFN ⟨[ζL,ζU],[ϑL,ϑU]⟩ and IFN ⟨ζ,ϑ⟩ simultaneously. The method computes weighted generalised distance (q=2) from alternatives to CIF-PIA and CIF-NIA — no defuzzification step. Supports multiple decision makers: per-expert closeness coefficients are aggregated via priority weights λ. Higher C_i = better alternative.
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.Garg, H., Kaur, G. (2018). Extended TOPSIS method for multi-criteria group decision-making problems under cubic intuitionistic fuzzy environment. Scientia Iranica E
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ScholarGate. (2026, June 2). CUBIC-TOPSIS. ScholarGate. https://scholargate.app/decision-making/cubic-topsis