Which of the following is NOT a valid property over two fuzzy relations R̃ and S̃ which must be obeyed for performing λ-cut defuzzification?
Pick an option to check yourself, or open the answer below.
Show answer & explanation
Correct answer: C. (complement of R̃)λ ≠ complement of (R̃λ) except when λ = 1
Explanation
λ-cuts distribute over union and intersection, and a higher cut is contained in a lower one (Rβ ⊆ Rλ for λ ≤ β). The complement property holds as (R̄)λ ≠ (Rλ)‾ except when λ = 0.5, not λ = 1. So option C is the invalid statement.More Artificial Intelligence (AI) questions
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