(λ, μ)-Intuitionistic fuzzy filters on Heyting-Algebras

By combining intuitionistic fuzzy filter with heyting-algebras, the definitions of intuitionistic fuzzy filter, (λ, μ)-intuitionistic fuzzy filter and (λ, μ)-intuitionistic fuzzy lattice filter are given. The properties of the defined filter are discussed. It is concluded that (λ, μ)-intuitionistic fuzzy filter has intersection invariance. Finally, the equivalence between (λ, μ)-intuitionistic fuzzy filter and (λ, μ)-intuitionistic fuzzy lattice filter is proved.