A metasemantic interpretation of mamdani systems

Abstract

The linguistic interpretation of the aggregation of conclusions in a Mamdani System faces the particular difficulty that the aggregated fuzzy sets are not normal, but truncated at a level determined by the degree of satisfaction of the corresponding premises. Taking in account that since the early works of fuzzy control, the numerical meaning of such aggregations of fuzzy sets is considered to be given by the abscissa of their centroids, a working hypothesis is introduced, which including geometrical and linguistic transformations allows a linguistic interpretation in the context of metasemantics, and represents a small further contribution to Computing with Words.