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FUZZY FILTERS ON THE RESIDUATED LATTICES

    https://doi.org/10.1142/S1793005706000373Cited by:10 (Source: Crossref)

    In this paper, the lattice operations and the adjoint pair on the fuzzy filters set on residuated lattices are defined, the conclusion that the fuzzy filters lattice defined as such is a distributive residuated lattice is obtained. An order-reversing involution on the fuzzy strong-prime filters sublattice is introduced. It is proved that the fuzzy strong-prime filters sublattice is a quasi-Boolean algebra.