qR-WPM - q-Rung Orthopair extension of WPM

Overview

qr-wpm extends WPM to handle q-Rung Orthopair uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using q-Rung Orthopair Fuzzy Number (q-ROFN: μ, ν; μ^q+ν^q ≤ 1, q ≥ 1) algebra. The final scores are defuzzified via score function S = μ^q − ν^q before ranking.

Output

utility, higher is better

Data

Q-Rung Orthopair Fuzzy, uncertainty tuples complete

Weights

Needs a weight source

Size

2+ alternatives, 3-10 criteria works best

Used for

Q-Rung Orthopair Fuzzy MCDM, MAGDM under epistemic uncertainty, expert-driven evaluation with linguistic terms

Look elsewhere when

Assumptions to verify

• Decision matrix entries are valid q-Rung Orthopair Fuzzy 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 q-ROFN: μ^q + ν^q ≤ 1, q ≥ 1 (q=1→IFS; q=2→PFS) before computation.

• Defuzzification method affects ranking: score function S = μ^q − ν^q is the canonical choice but alternatives exist.

Works with

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