Consider a fuzzy inference system cosisting two fuzzy laws as follow, if u is A, and v is B₁, thenw is C₁ if u is A, and vis B₂, thenw is C₂

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3. Consider a fuzzy inference system cosisting two fuzzy laws as follow,
if u is A, and vis B₁, thenw is C₁
if u is A, and vis B₂, thenw is C₂
All the fuzzy sets are in the form of triangular (3-value) and trapizoidal (4-value) that are defined
as follow,
A₁ = (0,1,2, 4); B₁ = (1,3,5); C₁ = (1,2,3)
A₂ = (1,3,4,6); B₂ = (0,2,4); C₂ = (2,4,6)
Obtain the results of the fuzzy inference, (w), for the inputs u = 3,v₁ =1.5 using the
Mamdani inference method in a precise and digramatic form.
Transcribed Image Text:3. Consider a fuzzy inference system cosisting two fuzzy laws as follow, if u is A, and vis B₁, thenw is C₁ if u is A, and vis B₂, thenw is C₂ All the fuzzy sets are in the form of triangular (3-value) and trapizoidal (4-value) that are defined as follow, A₁ = (0,1,2, 4); B₁ = (1,3,5); C₁ = (1,2,3) A₂ = (1,3,4,6); B₂ = (0,2,4); C₂ = (2,4,6) Obtain the results of the fuzzy inference, (w), for the inputs u = 3,v₁ =1.5 using the Mamdani inference method in a precise and digramatic form.
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