Fuzzy quantification: a state of the art

On the role of linguistic descriptions of data in the building of natural language generation systems

“…This element set permits the construction of the simplest type of linguistic descriptions, type-I quantified sentences such as "a few dogs are brown" or "most of the temperatures were hot", which can be computed through the use of a fuzzy quantification model [84]. From this base, the complexity of the linguistic descriptions can be increased by using type-II quantified statements (which model the relationship between two variables) or adding elements such as spatio-temporal references.…”

“…From this base, the complexity of the linguistic descriptions can be increased by using type-II quantified statements (which model the relationship between two variables) or adding elements such as spatio-temporal references. Other approaches are based on the use of type-2 fuzzy sets [85,86]. These allow to define single linguistic labels using different membership functions (e.g.…”

Linguistic characterization of time series

“…This theory was further generalized to the fuzzy approach (cf. [9,6,12,30]; a comprehensive overview of fuzzy generalized quantifiers can also be found in [5]). The intermediate quantifiers are special fuzzy generalized quantifiers of type 1, 1 that are isomorphism-invariant, conservative, and have extension properties.…”

“…At the least, we can expect it to work for European languages 4. This logic is called fuzzy type theory (denoted as FTT) and was described in detail in[24] 5. This suggests the idea that EvExpr is, in fact, a fuzzy set.…”

Intuitionistic fuzzy sets in questionnaire analysis

“…It should be noted, however, that such functions are proposed on the basis of a certain applied problem, and there are not general rules. A very comprehensive review of the quantification of modalities and their fuzzy expression has been given in Delgado et al (2014).…”