MEDIAN-RANKING: Median ranking: per-alternative median rank

Overview

Order statistic: column-wise median. Output typically rank_position (lower value = preferred).

Strengths

• •Method-specific: Order statistic: column-wise median
• •Native group-decision support (multi-DM aggregation built into the pipeline)

Limitations

• •Assumes: Input is a rank matrix (1=best, m=worst per voter)
• •Assumes: Each voter ranks all alternatives

Assumptions to verify

• •Input is a rank matrix (1=best, m=worst per voter)
• •Each voter ranks all alternatives

When not to use

• •Cardinal preferences important → use a MAUT method

Edge cases

• •See F.steps and D.parameters for MEDIAN-RANKING-specific edge handling. recommendation_metadata.assumptions_to_verify also lists boundary conditions.

Common pitfalls

• •Hatalı: 'MEDIAN-RANKING bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Input is a rank matrix (1=best, m=worst per voter)
• •Hatalı: 'MEDIAN-RANKING bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Each voter ranks all alternatives
• •Hatalı: MEDIAN-RANKING'yi 'Cardinal preferences important → use a MAUT method' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.

Worked example

1. 1.Adım 1 (F1): For each alternative, compute the median of its ranks across all rankings. Lower median = better. Formül: median_i = median{r_i1, r_i2, …, r_in}; rank ascending Anchor: Orakçı 2024 §1.8.8

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