Some Studies in Hemirings by the Falling Fuzzy k-Ideals

Abstract

In this article, we establish the idea of falling fuzzy k-ideals in hemirings through the falling shadow theory and fuzzy sets. We shall express the relations between fuzzy k-ideals and falling fuzzy k-ideals in hemirings. In particular, we shall establish different characterizations of k-hemiregular hemirings in the perfect positive correlation and independent probability space by means of falling fuzzy k-ideals.