Correspondence between fuzzy h-ideals of a $Gamma$-hemiring and fuzzy h-ideals of its operator hemirings

Abstract

In this paper we define a correspondence between the set of all fuzzy h- ideals of a $Gamma$-hemiring S and the set of all fuzzy h-ideals of the operator hemirings of that $Gamma$-hemiring. We deduce that the lattice of all fuzzy h- ideals of a $Gamma$-hemiring is isomorphic to the lattice of all fuzzy h-ideals of the operator hemirings of that $Gamma$-hemiring. Finally, the cartesian prod- uct of corresponding fuzzy h-ideals is defined and a characterization is obtained.