A single failed necessary condition nullifies the entire aggregate score.

Evidence

One can define general weakest link aggregation as a function of the Di where f (Di) = 0 when any Di = 0. The minimum satisfies this since the chain has no strength if one of the links is broken. — Gary Goertz, Social Science Concepts and Measurement, 949

Categorization

• DEFINE: Coins ‘weakest link aggregation’ as the formal class of functions that collapse to zero when any component is zero.
• XREF: Same necessary-condition logic underlies the earlier discussion of necessary and sufficient conditions and of substitutability versus joint necessity in concept structure.
• SEED: Angle: ‘The weakest link is a design choice’ — how constitutional, engineering, and organizational systems all secretly choose min-aggregation, and what it costs.