Abstract: In this paper, our
attempt is to study fuzzy essential ideals of rings and investigate different
characteristics of such ideals. Various properties on fuzzy annihilators of
fuzzy subsets of rings are also obtained. The concept of fuzzy essential ideals
leads us to the notion of which is analogous to the singular
ideal of rings.
Keywords and phrases: fuzzy ideals, fuzzy essential ideals, fuzzy annihilators.