Implicative filters of equality algebras treated as fuzzy points

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Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
The notion of fuzzy points is used to study implicative filters in equality algebras. The concept of implicative (∈, ∈)-fuzzy  filters is introduced, and its properties are investigated. The relationship between (∈, ∈)-fuzzy filters, implicative (∈, ∈)- fuzzy filters and positive implicative (∈, ∈)-fuzzy filters are established. Characterizations of implicative (∈, ∈)-fuzzy filters  are discussed, and the conditions for the (positive implicative) (∈, ∈)-fuzzy filter to be an implicative (∈, ∈)-fuzzy filter are  explored. The extension property for the implicative (∈, ∈)- fuzzy filter is established. The properties associated with ∈tset  and qt-set of a fuzzy set Ψ in E and also look for conditions under which they can become implicative filters are  examined.
Language:
English
Published:
Journal of Algebraic Hyperstructures and Logical Algebras, Volume:6 Issue: 1, Winter 2025
Pages:
13 to 26
https://www.magiran.com/p2844681