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Ranking
P-CoCoSo - Plithogenic extension of P-COCOSO
Plithogenic outranking/ranking - Plithogenic Set (PltS: attribute values with contradiction degrees)
Smarandache, F.2018
Overview
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.
- Output
- utility, higher is better
- Data
- Plithogenic, uncertainty tuples complete
- Weights
- Needs a weight source
- Size
- 2+ alternatives, 3-10 criteria works best
- Used for
- Plithogenic MCDM, MAGDM under epistemic uncertainty, expert-driven evaluation with linguistic terms
Look elsewhere when
- •Crisp data sufficient - use base COCOSO directly (avoid unnecessary uncertainty layer)
- •Aggregation operator (PFWA/PFOWA/etc.) not specified - output ambiguous
Assumptions to verify
- 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
Edge cases and pitfalls
Value-space violation: ensure all entries satisfy Plithogenic: each attribute has a set of values V with appurtenance degrees and contradiction degrees c(v,D) before computation.
Defuzzification method affects ranking: dominant value defuzzification; approach varies by appurtenance function is the canonical choice but alternatives exist.
Works with
Commonly takes its weights from
How to cite
Smarandache, F. (2018). Plithogeny, Plithogenic Set, Logic, Probability, and Statistics. Pons Publishing, Brussels.
System ID, as it appears in reports and the API
P-COCOSO