P-OCRA - P-OCRA yönteminin Plithogenic uzantısı

Formül adımları

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

1. Contradiction adjustment; aggregate input (cost) and output (benefit) ratings.

   $$s_{ij}=s({\widehat{p}}_{ij});{\overline{I}}_i=\sum _{j\in {\Omega }_c}{w}_j({max}_k{s}_{kj}-s_{ij})/{min}_k{s}_{kj};{\overline{O}}_i=\sum _{j\in {\Omega }_b}{w}_j(s_{ij}-{min}_k{s}_{kj})/{min}_k{s}_{kj}$$
   LaTeX

   s_{ij}=s(\hat{p}_{ij});\;\bar{I}_i=\sum_{j\in\Omega_c}w_j(\max_k s_{kj}-s_{ij})/\min_k s_{kj};\;\bar{O}_i=\sum_{j\in\Omega_b}w_j(s_{ij}-\min_k s_{kj})/\min_k s_{kj}

2. Scale I and O by shifting to zero minimum.

   $${\widehat{I}}_i={\overline{I}}_i-{min}_k{\overline{I}}_k;{\widehat{O}}_i={\overline{O}}_i-{min}_k{\overline{O}}_k$$
   LaTeX

   \hat{I}_i=\bar{I}_i-\min_k\bar{I}_k;\quad\hat{O}_i=\bar{O}_i-\min_k\bar{O}_k

3. Preference rating P_i; rank descending.

   $$P_i={\widehat{I}}_i+{\widehat{O}}_i;\text{rank descending}$$
   LaTeX

   P_i=\hat{I}_i+\hat{O}_i;\quad\text{rank descending}

Sezgi

Sonucu okuma: p-ocra extends P-OCRA 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 OCRA 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.