Natural means of indistinguishability operators

Abstract

It has been shown that the lattice of indistinguishability operators, the lattice of sets of extensional sets and the lattices and of upper and lower approximations respectively are isomorphic. This paper will study the relation between, and under the effect of the natural mean aggregation, i.e. the quasi arithmetic mean, associated to the t-norm. © 2012 Springer-Verlag Berlin Heidelberg.