The triangular membership function is defined as:

μ(x) = max(min((x-a)/(b-a), (c-x)/(c-b)), 0)

where a, b, and c are the parameters of the function, and x is the input value.

Given a=1, b=5, c=9 and x=7, we can substitute these values into the function:

μ(7) = max(min((7-1)/(5-1), (9-7)/(9-5)), 0)
= max(min(1.5, 1), 0)
= max(1, 0)
= 1

So, the membership value for a triangular membership function with parameters a=1, b=5, and c=9 when x=7 is 1.0.

Question

The triangular membership function is defined as:

μ(x) = max(min((x-a)/(b-a), (c-x)/(c-b)), 0)

where a, b, and c are the parameters of the function, and x is the input value.

Given a=1, b=5, c=9 and x=7, we can substitute these values into the function:

μ(7) = max(min((7-1)/(5-1), (9-7)/(9-5)), 0)
      = max(min(1.5, 1), 0)
      = max(1, 0)
      = 1

So, the membership value for a triangular membership function with parameters a=1, b=5, and c=9 when x=7 is 1.0.

Knowee AI · Accepted Answer

The triangular membership function is defined as:

μ(x) = max(min((x-a)/(b-a), (c-x)/(c-b)), 0)

where a, b, and c are the parameters of the function, and x is the input value.

Given a=1, b=5, c=9 and x=7, we can substitute these values into the function:

μ(7) = max(min((7-1)/(5-1), (9-7)/(9-5)), 0)
      = max(min(1.5, 1), 0)
      = max(1, 0)
      = 1

So, the membership value for a triangular membership function with parameters a=1, b=5, and c=9 when x=7 is 1.0.

What is the membership value for a triangular membership function with parameters a=1, b=5, and c=9 when x=7? 1.0 0.5 0.0 None of the above