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On fuzzy implicative filters of lattice implication algebras

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Abstract

We investigate some related properties of fuzzy filtersand fuzzy implicative filters in lattice implication algebras. Wefind a characterization of fuzzy filters and fuzzy implicativefilters, and we discuss a relation between fuzzy filters and fuzzyimplicative filters in lattice implication algebras. Also we givean extension theorem of fuzzy implicative filters.

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