Fuzzy classification
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Fuzzy classification is the process of grouping elements into fuzzy sets[1] whose membership functions are defined by the truth value of a fuzzy propositional function.[2][3][4] A fuzzy propositional function is analogous to[5] an expression containing one or more variables, such that when values are assigned to these variables, the expression becomes a fuzzy proposition.[6]
Accordingly, fuzzy classification is the process of grouping individuals having the same characteristics into a fuzzy set. A fuzzy classification corresponds to a membership function that indicates the degree to which an individual is a member of the fuzzy class , given its fuzzy classification predicate . Here, is the set of fuzzy truth values, i.e., the unit interval . The fuzzy classification predicate corresponds to the fuzzy restriction " is a member of ".[6]