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 On fuzzy implicative filters of lattice implication algebras Commun. Korean Math. Soc. 2003 Vol. 18, No. 4, 621-628 Printed December 1, 2003 Yiquan Zhu, Qun Zhang, Eun Hwan Roh Zhaoqing University, South-Central University for Nationalities, Chinju National University of Education Abstract : We investigate some related properties of fuzzy filters and fuzzy implicative filters in lattice implication algebras. We find a characterization of fuzzy filters and fuzzy implicative filters, and we discuss a relation between fuzzy filters and fuzzy implicative filters in lattice implication algebras. Also we give an extension theorem of fuzzy implicative filters. Keywords : lattice implication algebra, lattice $H$ implication algebra, fuzzy (implicative) filter MSC numbers : 03G10, 06B10, 94D05 Downloads: Full-text PDF

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