I am studying the underlying principles of ANFIS and in a thesis, I came across the author used a triangular membership function to define the inputs. When it got to the point of calculating for the weights of the internal model, membership function was defined as shown in the paper attached.I can see that the membership function was multiplied from the denominator but I don't understand how the numerator part was achieved. I would be glad if anyone could assist me to understand. I have been searching for papers with an in-depth explanation but to no avail.
Hi Hanan Yakubu
,wi is the weight (aka firing strength of ith rule) that is computed from the product of all fuzzified inputs (min operation)
w̅ is the normalization that calculates the ratio of wi to the sum of all rules firing strength.
The triangular MF can be described with the max-min value functions.
- Badges
- Science topic