Alpha-Cut Defuzzification: Crisp interval or representative via α-level cut

Strengths

• •Parametric: α controls confidence, λ controls attitude
• •Common formula (a+2b+c)/4 is widely cited
• •Interval output retains uncertainty at choice of DM

Limitations

• •Requires specifying α and λ (subjective)
• •Different (α,λ) choices yield different rankings

Assumptions to verify

• •α level is meaningful for the problem
• •TFN satisfies a ≤ b ≤ c

When not to use

• •When α cannot be determined: use centroid instead

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