Operations on fuzzy ideals of ΓΓ-semirings

preprint2011arXivOpen access

Abstract

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

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