Modelling a linguistic variable as a hierarchical family of partitions induced by an indistinguishability operator

This work shows a method to obtain a hierarchy of partitions on the univers e [0, 1] in such a way that each of them is compatible with a refinement of Lukasiewicz indistinguishability operator. The classes of the partition at a given level present a relation of antonymy between them. Moreover, the p artition at a certain level can be seen as the refinement of a previous lev el by means of a class of linguistic modifiers. Due to this fact, they seem appropriate for modeling linguistic labels of a linguistic variable. The a ssociated indistinguishability operators show the increasing granularity wh en the number of classes rises up. (C) 2001 Elsevier Science B.V. All right s reserved.