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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.

Some Studies in Hemirings by the Falling Fuzzy k -Ideals

Some Studies in Hemirings by the Falling Fuzzy $k$ -Ideals