P-MABAC - P-MABAC yönteminin Plithogenic uzantısı

Formül adımları

Analiz motorunun yöntem bildirimindeki (manifest F.steps) adımlar; raporlardaki formüllerle aynı kaynaktır.

1. Contradiction adjustment; cost complement; PNWA weighting.

   $${\widehat{p}}_{ij}=(T+c(1-T),I(1-c),F(1-c));{\tilde{v}}_{ij}=(1-(1-\widehat{T}{)}^{w_j},{\widehat{I}}^{w_j},{\widehat{F}}^{w_j})$$
   LaTeX

   \hat{p}_{ij}=(T+c(1-T),I(1-c),F(1-c));\;\tilde{v}_{ij}=(1-(1-\hat{T})^{w_j},\hat{I}^{w_j},\hat{F}^{w_j})

2. Border Approximation Area (BAA) via score average.

   $$s({\tilde{g}}_j)=\frac{1}{m}\sum _{i}s({\tilde{v}}_{ij});s(p)=(1+T-2I-F)/2$$
   LaTeX

   s(\tilde{g}_j)=\tfrac{1}{m}\sum_i s(\tilde{v}_{ij});\quad s(p)=(1+T-2I-F)/2

3. Signed distance from BAA; S_i score; rank descending.

   $$q_{ij}=s({\tilde{v}}_{ij})-s({\tilde{g}}_j);S_i=\sum _j{q}_{ij};\text{rank descending}$$
   LaTeX

   q_{ij}=s(\tilde{v}_{ij})-s(\tilde{g}_j);\quad S_i=\sum_j q_{ij};\quad\text{rank descending}

Sezgi

Sonucu okuma: p-mabac extends P-MABAC to handle Plithogenic uncertainty. All arithmetic operations (normalisation, weighting, distance computation) are performed using Plithogenic Set (PltS: attribute values with contradiction degrees) algebra. The final scores are defuzzified via dominant value defuzzification; approach varies by appurtenance function before ranking.

Varsayımlar

• Decision matrix entries are valid Plithogenic numbers/tuples
• Underlying crisp method's compensation assumption holds in uncertain space
• All decision-maker(s) and experts use the same linguistic/uncertainty scale

Ne zaman kullanılmaz

• Classical data sufficient - use base MABAC directly (avoid unnecessary uncertainty layer)
• Aggregation operator (PFWA/PFOWA/etc.) not specified - output ambiguous

Sık yapılan hatalar

• Değer-uzayı ihlali: hesaplamadan önce tüm girişlerin Plithogenic: each attribute has a set of values V with appurtenance degrees and contradiction degrees c(v,D) koşulunu sağladığından emin olun.
• Defuzzifikasyon yöntemi sıralamayı etkiler: dominant value defuzzification; approach varies by appurtenance function kanonik seçimdir.