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Interval-Valued Intuitionistic Fuzzy COPRAS (Davoudabadi-Mousavi-Mohagheghi-Vahdani 2019)

OriginatorAtanassov, K. T., Gargov, G.Year1989Sources1Related methods8

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.

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-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

Strengths
  • 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.
Limitations
  • 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.

Common pitfalls

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Sources

  1. 1.
    Atanassov, K. T., Gargov, G. (1989). Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems
    DOI 10.1016/0165-0114(89)90205-4

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ScholarGate. (2026, June 2). IVIF-COPRAS. ScholarGate. https://scholargate.app/decision-making/ivif-copras