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Home›Decision-making›Cubic-TOPSIS — Cubic extension of TOPSIS
MCDMRankingCubic intuitionistic fuzzy

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.

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CUBIC-TOPSIS
AHPANPBWMBWM-BAYESIANCCSDCILOSCIMASCRITIC

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

Strengths
  • 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.
Limitations
  • 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

  1. Garg, H., Kaur, G. (2018). Extended TOPSIS method for multi-criteria group decision-making problems under cubic intuitionistic fuzzy environment. Scientia Iranica E DOI: 10.24200/sci.2018.5307.1194 ↗

How to cite this page

ScholarGate. (2026, June 2). Cubic-TOPSIS — Cubic extension of TOPSIS. ScholarGate. https://scholargate.app/en/decision-making/cubic-topsis

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AHPANPBWMBWM-BAYESIANCCSDCILOSCIMASCRITIC

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Similar methods

CUBIC-VIKORQR-TOPSISN-TOPSISPF-TOPSISZ-TOPSISIV-TOPSISMHF-TOPSISDHF-TOPSIS

Related reference concepts

Decision Support SystemsDecision MakingWeighted ScoresEvaluation CriteriaCriteria for Decision-Making under Risk and UncertaintyQ Methodology

Spotted an issue on this page? Report or suggest a fix →

ScholarGate — CUBIC-TOPSIS (Cubic-TOPSIS — Cubic extension of TOPSIS). Retrieved 2026-07-21 from https://scholargate.app/en/decision-making/cubic-topsis · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Garg, H., Kaur, G.
Subfamily
Ranking
Year
2018
Type
Cubic Intuitionistic Fuzzy ranking — CIFN = (IVIFN, IFN): interval membership/non-membership ⟨[ζL,ζU],[ϑL,ϑU]⟩ (IVIFS part) + point membership/non-membership ⟨ζ,ϑ⟩ (IFS part); extended TOPSIS with weighted generalised distance
Value Space
Cubic intuitionistic fuzzy
Uncertainty
epistemic
Compensation
full
Rank Reversal
Yes
Related methods
AHPANPBWMBWM-BAYESIANCCSDCILOSCIMASCRITIC
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