Centroid of a type-2-fuzzy set (Q5946326)

The authors, continuing their previous papers, define the centroid and the generalized centroid of a type-2 fuzzy set and show how to compute them, making use of the product t-norm for practical purpose. In general these computations are highly intensive, but the authors prove that, in the case of interval type-2 fuzzy sets, these procedures are very efficient. An approximation result is presented also for Gaussian type-2 fuzzy sets.