A Multiresolution Approximate Descriptor of a Fuzzy Set

In this work a new approximate descriptor of a fuzzy set is given. The descriptor is based on a multiresolution system, which is used as a linguistic base term set. With this approximate descriptor, it is possible to perform numeric and symbolic calculus with fuzzy sets. Thanks to the multiresolution system, a change in the resolution level of the approximate descriptor is feasible and computationally efficient.

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