Interval-Valued Intuitionistic Fuzzy COPRAS (Davoudabadi-Mousavi-Mohagheghi-Vahdani 2019)
IVIF-COPRAS (Interval-Valued Intuitionistic Fuzzy COPRAS (Davoudabadi-Mousavi-Mohagheghi-Vahdani 2019)) 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-COPRAS extends Zavadskas-Kaklauskas 1996 crisp COPRAS (Complex Proportional Assessment) to handle Interval-Valued Intuitionistic Fuzzy uncertainty (Atanassov-Gargov 1989). Each alternative is summarized by two IVIF aggregates: B_i (profit IVIF sum over benefit criteria) and C_i (cost IVIF sum over cost criteria). These are projected to crisp scores via Garg's λ-parametrized score function GIS (Eq. 7). The compound relative weight Q_i adds GIS(B_i) to a cost-side fraction that rewards alternatives with LOW cost-side scores. Utility degree D_i = Q_i / Q_max × 100% gives the percentage-of-be
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 COPRAS (Davoudabadi-Mousavi-Mohagheghi-Vahdani 2019). ScholarGate. https://scholargate.app/en/decision-making/ivif-copras
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