Path: Top -> Journal -> Jurnal Internasional -> Fuzzy Information and Engineering -> 2014 -> Volume 6, Issue 2, June
Fuzzy Weak Regular, Strong and Preassociative Filters in Residuated Lattices
Oleh : Wei Yang, Fuzzy Information and Engineering
Dibuat : 2014-06-21, dengan 1 file
Keyword : Residuated latticeGlivenko algebraFuzzy weak regular filterFuzzy strong filterFuzzy preassociative filter
Url : http://www.sciencedirect.com/science/article/pii/S1616865814000260
Sumber pengambilan dokumen : web
In this paper, the notions of fuzzy weak regular, strong and preassociative filters are introduced with some properties of them investigated. In particular, under the context of Glivenko algebras, fuzzy weak regular filters and regular ones are equivalent and characterizations of Glivenko algebras are concluded by characterizations of fuzzy strong filters. At last the notion of fuzzy preassociative filters are defined, which are proved to coincide with fuzzy Boolean filters, and then some new alternative definitions of Boolean algebras are obtained by this type of filters.
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