P-COCOSO

P-CoCoSo - P-COCOSO yönteminin Plithogenic uzantısı

Plithogenic üstünlük/sıralama - Plitojenik Küme (PltK: çelişki dereceleriyle nitelik değerleri)

Formül adımları

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

Contradiction adjustment; score shift; min-max normalisation.

$s_{i j} = s ({\hat{p}}_{i j}); {\tilde{s}}_{i j} = s_{i j} + 1; {\hat{s}}_{i j} = ({\tilde{s}}_{i j} - {\tilde{s}}_{j}^{min}) / ({\tilde{s}}_{j}^{max} - {\tilde{s}}_{j}^{min}) (j \in Ω_{b})$

LaTeX
s_{ij}=s(\hat{p}_{ij});\;\tilde{s}_{ij}=s_{ij}+1;\;\hat{s}_{ij}=(\tilde{s}_{ij}-\tilde{s}_j^{\min})/(\tilde{s}_j^{\max}-\tilde{s}_j^{\min})\;(j\in\Omega_b)
WSM sequence P_i and WPM sequence R_i.

$P_{i} = \sum_{j} w_{j} {\hat{s}}_{i j}; R_{i} = \sum_{j} {\hat{s}}_{i j}^{w_{j}}$

LaTeX
P_i=\sum_j w_j\hat{s}_{ij};\quad R_i=\sum_j\hat{s}_{ij}^{w_j}
Three compromise scores k_ia, k_ib, k_ic.

$k_{i a} = (P_{i} + R_{i}) / \sum_{k} (P_{k} + R_{k}); k_{i b} = P_{i} / {min}_{k} P_{k} + R_{i} / {min}_{k} R_{k}; k_{i c} = (λ P_{i} + (1 - λ) R_{i}) / (λ {max}_{k} P_{k} + (1 - λ) {max}_{k} R_{k}), λ = 0.5$

LaTeX
k_{ia}=(P_i+R_i)/\sum_k(P_k+R_k);\;k_{ib}=P_i/\min_k P_k+R_i/\min_k R_k;\;k_{ic}=(\lambda P_i+(1-\lambda)R_i)/(\lambda\max_kP_k+(1-\lambda)\max_kR_k),\;\lambda=0.5
Combined CoCoSo score k_i.

$k_{i} = (k_{i a} k_{i b} k_{i c})^{1 / 3} + \frac{1}{3} (k_{i a} + k_{i b} + k_{i c})$

LaTeX
k_i=(k_{ia}k_{ib}k_{ic})^{1/3}+\tfrac{1}{3}(k_{ia}+k_{ib}+k_{ic})
Rank descending by k_i.

$rank descending by k_{i}$

LaTeX
\text{rank descending by }k_i

Yöntem ayrıntıları kaynak kütüphanedeki özgün (İngilizce) metindir.

Sezgi

Sonucu okuma: p-cocoso extends P-COCOSO 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 COCOSO 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.