Positive implicative fuzzy filters of equality algebras

The concept of fuzzy points is used to study positive implicative filters of equality algebras. The notion of positive implicative (∈, ∈)-fuzzy filters of equality algebras is introduced, and various properties are investigated. The relation between (∈, ∈)-fuzzy filters and positive implicative (∈, ∈)-fuzzy filters are examined. Conditions for the ∈t-set, qt-set and positive set to be positive implicative filters are explored. The extension property for positive implicative (∈, ∈)-fuzzy filters is established.

کلیدواژه ها:

(∈ ، ∈)-set ، qt-set ، positive set ، Positive implicative (∈ ، ∈)-fuzzy filter