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Using the belongs to relation (∈) and quasi-coincidence with relation (q) between fuzzy points and fuzzy sets, the concept of (θ,ψ)-fuzzy implicative filters where θ, ψ are any two of {∈,q,∈∨q,∈∧q} with θ≠∈∧q is introduced, and related properties are discussed. Relations between (∈∨q,∈∨q)-fuzzy implicative filters and (∈,∈∨q)-fuzzy implicative filters are investigated, and conditions for an (∈,∈∨q)-fuzzy...
Using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, the concept of an (α,β)-fuzzy interior ideal, which is a generalization of a fuzzy interior ideal, in a semigroup is introduced, and related properties are investigated.
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