Interval-Valued Intuitionistic Fuzzy VIKOR (Park, Cho & Kwun 2011)
IVIF-VIKOR (Interval-Valued Intuitionistic Fuzzy VIKOR (Park, Cho & Kwun 2011)) 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.
Key highlights
- 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.
Intuition
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How it works
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When to use it
IVIF-VIKOR extends Opricovic 1998 compromise-ranking VIKOR to handle Interval-Valued Intuitionistic Fuzzy uncertainty (Atanassov-Gargov 1989). Each alternative is measured by two aggregations relative to the interval-valued intuitionistic PIS: S̃ (sum of weighted distance ratios — group utility) and R̃ (max of weighted distance ratios — worst-case regret). The VIKOR compromise index Q̃ blends these by the strategy weight v: v=0.5 (consensus), v>0.5 (voting by majority), v<0.5 (veto). Lower Q̃ = better. The best alternative is the compromise solution only if BOTH C1 (acceptable advantage Q̃_[2]
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.
Common pitfalls
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Sources
- 1.Atanassov, K. T., Gargov, G. (1989). Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems
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ScholarGate. (2026, June 2). IVIF-VIKOR. ScholarGate. https://scholargate.app/decision-making/ivif-vikor