Interval-Valued Intuitionistic Fuzzy MABAC (Xue, You, Lai, Liu 2016)
IVIF-MABAC (Interval-Valued Intuitionistic Fuzzy MABAC (Xue, You, Lai, Liu 2016)) 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.
Read the full method
Sign in with a free account to read this section.
Method map
The neighbourhood of related methods — select a node to explore.
When to use it
IVIF-MABAC extends MABAC to handle Interval-Valued Intuitionistic Fuzzy uncertainty (Atanassov-Gargov 1989). All operations use IVIFN arithmetic (Xue 2016 Defs 1-8). Each alternative is compared to the Border Approximation Area (BAA, geometric mean across alternatives) per criterion via signed IVIF Euclidean distance — positive if above BAA (upper area G⁺, near ideal), negative if below (lower area G⁻, near anti-ideal). The closeness coefficient CC_i sums these signed distances; higher CC_i = better. Supports incomplete weight information via optimization model M-1 (Eq. 19) or M-2/Eq. 21 close
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 MABAC (Xue, You, Lai, Liu 2016). ScholarGate. https://scholargate.app/en/decision-making/ivif-mabac
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.
- AHPDecision-making↔ compare
- ANPDecision-making↔ compare
- BWMDecision-making↔ compare
- CRITICDecision-making↔ compare
- ENTROPYDecision-making↔ compare
- IF-ENTROPYDecision-making↔ compare
- MERECDecision-making↔ compare
- SWARADecision-making↔ compare