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Centroid of a type-2-fuzzy set. (English) Zbl 0982.03030

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.

MSC:

03E72 Theory of fuzzy sets, etc.
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