Positive Implicative Fuzzy Filters of Equality Algebras

초록

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, q_t-set and positive set to be positive implicative filters are explored. The extension property for positive implicative (∈, ∈)-fuzzy filters is established.

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