Disturbing Fuzzy Filters of Heyting Algebras

In combination with the theories concerning the disturbing fuzzy sets and filters, the concept of disturbing fuzzy filters of Heyting algebras is introduced, some of its properties are discussed, and several equivalent characterizations of disturbing fuzzy filters are presented. Under the homomorphic mapping of Heyting algebras, the homomorphic image and homomorphic inverse image of disturbing fuzzy filters are investigated. Next, the concept of the disturbing fuzzy filter, generated by a disturbing fuzzy set in Heyting algebras, is proposed and its representation theorem is obtained.