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Rough-MARCOS — Rough extension of MARCOS

ROUGH-MARCOS (Rough-MARCOS — Rough extension of MARCOS) is a ranking multi-criteria decision-making (MCDM) method introduced by Matić, B. Marinković, M. Jovanović, S. Sremac, S. Stević, Ž. in 2022. 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

rough-marcos extends MARCOS to handle Rough uncertainty. All arithmetic operations (normalisation, weighting, row summation, utility ratio computation) are performed using Rough number (lower approximation L, upper approximation U) algebra. Utility degrees Y+/Y- are computed via IRN division before defuzzification. The final composite score f(Y_i) is obtained via MARCOS utility functions and ranked in descending order.

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.
    Matić, B., Marinković, M., Jovanović, S., Sremac, S., Stević, Ž. (2022). Intelligent Novel IMF D-SWARA—Rough MARCOS Algorithm for Selection Construction Machinery for Sustainable Construction of Road Infrastructure. Buildings

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Cite this page

ScholarGate. (2026, June 2). ROUGH-MARCOS. ScholarGate. https://scholargate.app/decision-making/rough-marcos