Sorting

TOPSIS-Sort: TOPSIS-based sorting of alternatives into ordered categories

Sabokbar, H. F., Hosseini, A., Banaitis, A., Banaitiene, N. · 2016

Overview

TOPSIS-based sorting with boundary profiles. Output typically class_label (higher value = preferred).

Strengths

•Method-specific: TOPSIS-based sorting with boundary profiles

Limitations

•Assumes: Pre-defined ordered classes/categories exist
•Assumes: Reference profiles or examples are available

Method assistant

Grounded explanations: it explains the method, it does not compute.

Assumptions to verify

•Pre-defined ordered classes/categories exist
•Reference profiles or examples are available

When not to use

•No predefined classes → use a ranking method first

Edge cases

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

Common pitfalls

•Hatalı: 'TOPSIS-SORT bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Pre-defined ordered classes/categories exist
•Hatalı: 'TOPSIS-SORT bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Reference profiles or examples are available
•Hatalı: TOPSIS-SORT'yi 'No predefined classes → use a ranking method first' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.

Worked example

1.Adım 1 (F1): Step 1: Define class boundary profiles b_h. Formül: b_{1}\succ b_{2}\succ\cdots\succ b_{K-1} Anchor: Sabokbar et al. 2016, p.91 §2.1 step 2; Fig.2 p.91
2.Adım 2 (F2): Step 2: TOPSIS closeness coefficient C*(a) and C*(b_h) for alternatives and profiles. Formül: C^{*}(a) = \dfrac{d^{-}(a)}{d^{+}(a)+d^{-}(a)};\ \text{same for }b_{h} Anchor: Sabokbar et al. 2016, p.90 Eq.(6)
3.Adım 3 (F3): Step 3: Class assignment by comparing C*(a) to C*(b_h). Formül: A_{i}\in C_{h} \iff C^{*}(b_{h})\le C^{*}(A_{i}) < C^{*}(b_{h-1}) Anchor: Sabokbar et al. 2016, p.91 Eq.(8)

How to cite

Sabokbar, H. F.; Hosseini, A.; Banaitis, A.; Banaitiene, N. (2016). A novel sorting method TOPSIS-SORT: An application for Tehran environmental quality evaluation. E+M Ekonomie a Management. https://doi.org/10.15240/tul/001/2016-2-006

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Common pitfalls

•Hatalı: 'TOPSIS-SORT bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Pre-defined ordered classes/categories exist

•Hatalı: 'TOPSIS-SORT bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Reference profiles or examples are available

•Hatalı: TOPSIS-SORT'yi 'No predefined classes → use a ranking method first' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.

Worked example

1.Adım 1 (F1): Step 1: Define class boundary profiles b_h. Formül: b_{1}\succ b_{2}\succ\cdots\succ b_{K-1} Anchor: Sabokbar et al. 2016, p.91 §2.1 step 2; Fig.2 p.91

2.Adım 2 (F2): Step 2: TOPSIS closeness coefficient C*(a) and C*(b_h) for alternatives and profiles. Formül: C^{*}(a) = \dfrac{d^{-}(a)}{d^{+}(a)+d^{-}(a)};\ \text{same for }b_{h} Anchor: Sabokbar et al. 2016, p.90 Eq.(6)

3.Adım 3 (F3): Step 3: Class assignment by comparing C*(a) to C*(b_h). Formül: A_{i}\in C_{h} \iff C^{*}(b_{h})\le C^{*}(A_{i}) < C^{*}(b_{h-1}) Anchor: Sabokbar et al. 2016, p.91 Eq.(8)