Pseudo-atoms of fuzzy and non-fuzzy measures
In this paper, we introduce the concept of pseudo-atoms of set functions, and establish some fundamental conclusions about pseudo-atoms on the assumption of null-null-additivity. We give the necessary and sufficient conditions which insure that the set of non-null-measure contains no pseudo-atoms. Further, we obtain several decomposition theorems about pseudo-atoms and atoms of set functions. (C) 2007 Elsevier B.V. All rights reserved.
pseudo-atom atom fuzzy measure exhaustive order continuous