(∈,∈∨q)-fuzzy Filters of Heyting Algebras

Using the concepts of the fuzzy points quasi coincide with and belong to fuzzy sets, the concept of(∈,∈∨q)-fuzzy filters in Heyting algebras is introduced and its properties are investigated. Several equivalent characterizations of(∈,∈∨q)- fuzzy filters in Heyting algebras are given. The homomorphic properties of(∈,∈∨q)- fuzzy filters in Heyting algebras are discussed. It is proved that the isomorphic(resp. homomorphic)image(resp. inverse image)of an(∈,∈∨q)- fuzzy filter in Heyting algebras is also an(∈,∈∨q)- fuzzy filter.