A new definition for linguistic summaries of data

The linguistic summaries of data proposed by Yager are made of a quantified statement associated to a degree of validity. Such a summary expresses that a quantity of information (quantity described by the linguistic quantifier) satisfies a constraint (defined by a fuzzy predicate). This article shows that Yagerpsilas proposition does not sufficiently stress the relationship between these two aspects. As a consequence, we propose a new kind of linguistic summaries made of a linguistic statement (where the universal quantifier is implicit) associated to a degree of validity with a clear meaning in terms of quantity and quality.