Cubic-WASPAS - Cubic extension of WASPAS

Overview

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.

Output

utility, higher is better

Data

Cubic Fuzzy, uncertainty tuples complete

Weights

Needs a weight source

Size

2+ alternatives, 3-10 criteria works best

Used for

Cubic Set MCDM, MAGDM under epistemic uncertainty, expert-driven evaluation with linguistic terms

Look elsewhere when

Assumptions to verify

• Decision matrix entries are valid Cubic Set numbers/tuples
• Underlying crisp method's compensation assumption holds in uncertain space
• All decision-maker(s) and experts use the same linguistic/uncertainty scale

Edge cases and pitfalls

• Value-space violation: ensure all entries satisfy CuFS: A = ⟨[a⁻,a⁺], λ⟩ where [a⁻,a⁺] ⊆ [0,1], λ ∈ [0,1] before computation.

• Defuzzification method affects ranking: P-order: (a⁻+a⁺)/2 and λ combined is the canonical choice but alternatives exist.

Works with

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