Generalizations of fuzzy filters in residuated lattices

Extending the belongs to (∈) relation and quasi-coincidence with (q) relation between fuzzy points and a fuzzy subset, the concept of (∈<inf>h</inf>, ∈<inf>h</inf> ∨q<inf>δ</inf>)-fuzzy (implicative, positive implicative) filters of general residuated lattices and some related properties are investigated. Some equivalent characterizations of these generalized fuzzy (implicative, positive implicative) filters are derived.

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