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.
|Journal||Journal of Function Spaces|
|Publication status||Published - 2021|