Qualitative fuzzy sets revisited: granulation on the space ofmembership functions

摘要

A qualitative fuzzy set should be characterized by an elasticmembership function that can accommodate a “small amount” ofstretching and a limited number of broken points. Such a theory involvestwo mathematical notions: one is topological and the other ismeasurement-theoretical. This paper extends previous topologicalconsiderations to measurement-theoretical ones