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.
"Characterizations of Hemirings Based on Probability Spaces." J. Appl. Math. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/716435