Copyright © 2013 Bin Yu and Jianming Zhan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The notion of falling fuzzy -ideals of a hemiring is introduced on the basis of the theory of falling shadows and fuzzy sets. Then the relations between fuzzy -ideals and falling fuzzy -ideals are described. In particular, by means of falling fuzzy -ideals, the charac-terizations of -hemiregular hemirings are investigated based on independent (prefect positive correlation) probability spaces.