In both science and practice, it is common to work with classes of objects, defined by verbally specified values of the objects characteristics.
These linguistic expressions can be interpreted as values of linguistic variables representing the characteristics of interest. The classes may be denoted by numbers, usually integers are used. A fuzzy classification system can then be described by means of a rule base in the following way: On the left-hand side of each rule, there is a combination of values of linguistic variables that corresponds to a particular class. A value of an integer-valued variable, which identifies the same class, is on the right-hand side. For any object described by crisp or fuzzy values of its characteristics, its assignment to a class is determined by correspondence between these values and the left-hand sides of the rules. The final output of the fuzzy classification system depends on whether we are solving a problem of objects identification or whether we are classifying the objects for the purpose of their evaluations. In both of these cases, a verbal description of the result is desirable. The solution to this problem will be illustrated on examples from the area of academic staff management.