Aggregation of linguistic labels when semantics is based on antonyms

In this work, we introduce aggregation operators for linguistic labels (thi s is, ordinal scales) when different experts (or information sources) use d ifferent domains to express their knowledge. The aggregated value is comput ed (i) building first a unified framework, (ii) transforming all the initia l values into this new framework, (iii) aggregating the transformed values, and (iv) finally applying a reversal transformation. Transformations and a ll the constructions are based on assuming an existing semantics for all th e domains. In this work, we consider the semantics based on the existence o f an antonym (or a set of them) for each element in the domain. This is equ ivalent to a semantics based on negation functions. (C) 2001 John Wiley & S ons, Inc.