In the present paper,the intuitionistic fuzzy LI-ideal theory in lattice implication algebras is further studied.Some new properties and equivalent characterizations of intuitionistic fuzzy LI-ideals are given.Representation theorem of intuitionistic fuzzy li-ideal which is generated by an intuitionistic fuzzy set is established.It is proved that the set consisting of all intuitionistic fuzzy LI-ideals in a lattice implication algebra,under the inclusion order,forms a complete distributive lattice.
In the present paper, the intuitionistic fuzzy LI-ideal theory in lattice implication algebras is further studied. Some new properties and equivalent characterizations of intuition- istic fuzzy LI-ideals are given. Representation theorem of intuitionistic fuzzy LI-ideal which iS generated by an intuitionistic fuzzy set is established. It is proved that the set consisting of all intuitionistic fuzzy LI-ideals in a lattice implication algebra, under the inclusion order, forms a complete distributive lattice.