Interval-Valued Intuitionistic Fuzzy Projection-based MCDM
IV-PROJECTION (Interval-Valued Intuitionistic Fuzzy Projection-based MCDM) is a ranking multi-criteria decision-making (MCDM) method introduced by Yue, Z. (2019) — primary normalized IVIFS projection Tsao, C. Y.; Chen, T. Y. (2016) — compromise variant Atanassov, K. T.; Gargov, G. (1989) — IVIFS foundation in 2019; IVIFS algebraic foundation Atanassov–Gargov 1989; earlier projection variants 2012. 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
IV-PROJECTION ranks alternatives by the Yue (2019) normalized projection measure NP(A_i, A+) for IVIFS data. Membership/non-membership tuples enter the inner product directly; ranking is by descending NP.
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.
- Assumes full compensation — a strong score on one criterion can offset a weak score on another.
Common pitfalls
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Sources
- 1.Yue, Z. (2019). An interval-valued intuitionistic fuzzy projection-based approach and application to evaluating knowledge transfer effectiveness. Neural Computing and Applications
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ScholarGate. (2026, June 2). IV-PROJECTION. ScholarGate. https://scholargate.app/decision-making/iv-projection