Is the definition of Dubois to be corrected regarding Rough-Fuzzy Sets?

12 December 2014 1 2K Report

In Dubois Rough-fuzzy Model, Min and Max operators are used for Lower and Upper Approximations. Can we swap Min and Max operators?

Pedro Terán

I'm not sure that I understand your question. If you swap min and max, then the lower approximation will be bigger than the upper approximation. With the Dubois-Prade definition, the lower approximation is always contained in the fuzzy set, which is contained in the upper approximation.

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