S-NORM AGGREGATION OF INFINITE COLLECTIONS

The aggregation of membership values by means of the iterate applicati on of an s-norm is of cardinal relevance for the development of any ge neral theory of approximate reasoning which relies on a sup-t model fo r relation composition. Here we present a definition of s-norm aggrega tion for possibly infinite collections, which can be demonstrated to g eneralize previous approaches consistently. It provides a common frame work in which classical sup-t and finite s-t compositions can be analy zed as well as other significant cases. General properties of the s-no rm aggregation concept, its specialization for the class of continuous s-norms and its relationship with fuzzy measure theory are discussed.