An appropriate algebraic structure was previously defined which can be
regarded as a possible alternative to the theory of approximate reaso
ning, [A. Gisolfi, Fuzzy Sets Syst. 44, 37-43 (1992)]. In this article
we aim at extending the operations of the structure in order to cope
with classification problems. The theoretical aspects are emphasized i
n order to give an adequate background to the possible applications. A
fter defining the basic elements and the related operations, the struc
ture is implemented by means of Prolog. Finally the relationship betwe
en the structure and the problems of classification is discussed in so
me detail. (C) 1993 John Wiley & Sons, Inc.