The associativity problem for owa operators

Abstract

Connectives are usually assumed associative. Associativity allows recursive applica-tion of the same binary connective. in such a way that memorizing only one binary
connective is enought. no matter the dimension of the real problem. OWA operators are not associative. and its application requires a previously fixed dimension, not to be modified. In this paper we develope the proposal given in [2], where each OWA operator was represented in terms of a family of binary OWA operators. A connective rule will be concectived here as a consistent family of connectives capable of solving arbitrary dimension problems.