Operations on fuzzy ideals of $\Gamma$-semirings

Abstract

The purpose of this paper is to introduce different types of operations on fuzzy ideals of $\Gamma$-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 $\Gamma$-semirings. A characterization of a regular $\Gamma$-semiring has also been obtained in terms of fuzzy subsets.

13 pages Submitted for publication in May, 2009