Academy
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Ranking
IV-WASPAS - Interval-valued intuitionistic fuzzy extension of WASPAS
Interval-valued intuitionistic fuzzy outranking/ranking - IVIFS (Atanassov 1989)
Moore, R. E.1966
Overview
iv-waspas extends WASPAS to handle Interval uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Interval Number (IN: [a, b]) algebra. The final scores are defuzzified via midpoint (a+b)/2 before ranking.
- Output
- utility, higher is better
- Data
- Interval Intuitionistic Fuzzy, uncertainty tuples complete
- Weights
- Needs a weight source
- Size
- 2+ alternatives, 3-10 criteria works best
- Used for
- Interval MCDM, MAGDM under epistemic uncertainty, expert-driven evaluation with linguistic terms
Look elsewhere when
- •Crisp data sufficient - use base WASPAS directly (avoid unnecessary uncertainty layer)
- •Aggregation operator (PFWA/PFOWA/etc.) not specified - output ambiguous
Assumptions to verify
- Decision matrix entries are valid Interval 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 IN: a ≤ b before computation.
Defuzzification method affects ranking: midpoint (a+b)/2 is the canonical choice but alternatives exist.
Works with
Commonly takes its weights from
n_a
How to cite
Moore, R. E. (1966). Interval Analysis. Prentice-Hall, Englewood Cliffs.
System ID, as it appears in reports and the API
IV-WASPAS