SF-ARAS: Spherical extension of ARAS

Assumptions to verify

• •Decision matrix entries are valid Spherical Fuzzy numbers/tuples
• •Underlying crisp method's compensation assumption holds in uncertain space
• •All decision-maker(s) and experts use the same linguistic/uncertainty scale

When not to use

• •Crisp data sufficient: use base ARAS directly (avoid unnecessary uncertainty layer)
• •Aggregation operator (PFWA/PFOWA/etc.) not specified: output ambiguous

Commonly paired with

• •n_a + SF-ARAS (common)

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