P-RAFSI - Plithogenic extension of P-RAFSI

Overview

p-rafsi extends P-RAFSI 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

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.

• If extras.ideal_points/anti_ideal_points are not supplied, the anchors are derived from the observed data and the RAFSI rank-reversal-free guarantee does NOT hold: scores of existing alternatives can shift when an alternative is added or removed. Declare fixed anchors to keep the guarantee.

Works with

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