ON FUZZY IMPLICATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS
نویسندگان
چکیده
منابع مشابه
ON n-FOLD IMPLICATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS
We introduce the notion of n-fold implicative filters and n-fold implicative lattice implication algebras. We give characterizations of n-fold implicative filters and nfold implicative lattice implication algebras. Finally, we construct an extension property for n-fold implicative filter. 2000 Mathematics Subject Classification. 03G10, 06B10.
متن کاملON n-FOLD POSITIVE IMPLICATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS
The notion of n-fold positive implicative filter in a lattice implication algebra is introduced, and related properties are investigated. Relations among a filter, an n-fold implicative filter and an n-fold positive implicative filter are stated. Characterizations of n-fold positive implicative filter are given, and the extension property for n-fold positive implicative filter is established.
متن کاملFolding Theory of Implicative/fantastic Filters in Lattice Implication Algebras
We discuss the n-fold implicative/fantastic filters in lattice implication algebras, which are extended notions of implicative/fantastic filters. Characterizations of n-fold implicative/fantastic filters are given. Conditions for a filter to be n-fold implicative are provided. Extension property for an n-fold fantastic filter is established.
متن کاملOn Fuzzy Positive Implicative Filters in BE-Algebras
We study several degrees in defining a fuzzy positive implicative filter, which is a generalization of a fuzzy filter in BE-algebras.
متن کاملFantastic Filters of Lattice Implication Algebras
The notion of a fantastic filter in a lattice implication algebra is introduced, and the relations among filter, positive implicative filter, and fantastic filter are given. We investigate an equivalent condition for a filter to be fantastic, and state an extension property for fantastic filter.
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ژورنال
عنوان ژورنال: Communications of the Korean Mathematical Society
سال: 2003
ISSN: 1225-1763
DOI: 10.4134/ckms.2003.18.4.621