Operations on fuzzy ideals of $\mathrm{\Gamma }$-semirings

The purpose of this paper is to introduce different types of operations on fuzzy ideals of $\mathrm{\Gamma }$-semirings and to prove subsequently that these oprations give rise to different structures such as complete lattice, modular lattice on some restricted class of fuzzy ideals of $\mathrm{\Gamma }$-semirings. A characterization of a regular $\mathrm{\Gamma }$-semiring has also been obtained in terms of fuzzy subsets.