Notes on redefined fuzzy implicative filters of lattice implication algebras

The concept of (∈¯,∈¯∨q¯)-fuzzy implicative filters of lattice implication algebras is introduced and some of its related properties are investigated. In particular, the relationships among the ordinary fuzzy implicative filters, the (∈,∈∨q)(∈,∈∨q)-fuzzy implicative filters and the (∈¯,∈¯∨q¯)-fuzzy implicative filters of lattice implication algebras will be studied.