Interval-Valued Intuitionistic Fuzzy ARAS (Büyüközkan & Göçer 2018)
IVIF-ARAS (Interval-Valued Intuitionistic Fuzzy ARAS (Büyüközkan & Göçer 2018)) is a ranking multi-criteria decision-making (MCDM) method introduced by Atanassov, K. T., Gargov, G. in 1989. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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When to use it
IVIF-ARAS extends Zavadskas-Turskis 2010 Additive Ratio ASsessment (ARAS) to handle Interval-Valued Intuitionistic Fuzzy uncertainty (Atanassov-Gargov 1989). Each alternative's overall performance is summarized by an optimality function P̃_i (IVIF sum of weighted-normalized criterion ratings) and benchmarked against an optimal reference row x̃_0 (componentwise max of memberships and min of non-memberships for benefit criteria, reversed for cost). The utility degree Q_i = P_i/P_0 expresses how close each alternative is to the optimal benchmark; values lie in (0, 1] for non-degenerate inputs and
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.
Sources
- Atanassov, K. T., Gargov, G. (1989). Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems DOI: 10.1016/0165-0114(89)90205-4 ↗
How to cite this page
ScholarGate. (2026, June 2). Interval-Valued Intuitionistic Fuzzy ARAS (Büyüközkan & Göçer 2018). ScholarGate. https://scholargate.app/en/decision-making/ivif-aras
Which method?
Set this method beside its closest kin and read them side by side — the library lays the books on the table; the choice is yours.
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