P-WASPAS - P-WASPAS yönteminin Plithogenic uzantısı

Formül adımları

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

1. Contradiction adjustment; cost complement.

   $${\widehat{p}}_{ij}=(T+c(1-T),I(1-c),F(1-c));\text{cost: complement first}$$
   LaTeX

   \hat{p}_{ij}=(T+c(1-T),I(1-c),F(1-c));\;\text{cost: complement first}

2. WSM score via PNWA row aggregate.

   $$Q_i^{(1)}=s({⨁}_j(w_j·{\widehat{p}}_{ij}))$$
   LaTeX

   Q_i^{(1)}=s\bigl(\bigoplus_j(w_j\cdot\hat{p}_{ij})\bigr)

3. WPM score via PNWG row product.

   $$Q_i^{(2)}=s\left({⨂}_j{\widehat{p}}_{ij}^{w_j}\right)$$
   LaTeX

   Q_i^{(2)}=s\bigl(\bigotimes_j\hat{p}_{ij}^{w_j}\bigr)

4. Combined score Q_i; rank descending.

   $$Q_i=\lambda Q_i^{(1)}+(1-\lambda )Q_i^{(2)},\lambda =0.5;\text{rank descending}$$
   LaTeX

   Q_i=\lambda Q_i^{(1)}+(1-\lambda)Q_i^{(2)},\;\lambda=0.5;\quad\text{rank descending}

Sezgi

Sonucu okuma: p-waspas extends P-WASPAS 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 WASPAS 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.