IMPLICATIVE FILTERS OF R0-ALGEBRAS BASED ON FUZZY POINTS

Characterizations of Fuzzy Fated Filters of R0-algebras Based on Fuzzy Points

More general form of the notion of quasi-coincidence of a fuzzy point with a fuzzy subset is considered, and generalization of fuzzy fated of R0-algebras is discussed. The notion of an (∈,∈∨ qk)-fuzzy fated filter in a R0-algebra is introduced, and several properties are investigated. Characterizations of an (∈,∈∨ qk)-fuzzy fated filter in an R0-algebra are discussed. Using a collection of fate...

Fuzzy-Fated Filters of R0-Algebras

Generalized fuzzy filters of R0-algebras

The concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set is considered. In fact, this is a generalization of quasi-coincidence of a fuzzy point with a fuzzy set. By using this new idea, the notion of interval valued (∈,∈ ∨q)-fuzzy filters in BL-algebras which is a generalization of fuzzy filters of BL-algebras, is defined, and related properties are investiga...

Implication-based Fuzzy Fated Filters in R0-algebras

Generalizations of (∈, ∈∨ q)-fuzzy filter of R0-algebras is discussed in the paper [Y. B. Jun, S. Z. Song and J. Zhan, Generalizations of (∈, ∈ ∨ q)-fuzzy filters in R0-algebras, Int. J. Math. Math. Sci. Volume 2010, Article ID 918656, 19 pages]. In this paper, further properties of an (∈, ∈ ∨ qk)-fuzzy filter are investigated. Using a class of filters, an (∈, ∈ ∨ qk)-fuzzy filter is constructe...

Filters of R0-algebras

In order to research the logical system whose propositional value is given in a lattice from the semantic viewpoint, Xu [7] proposed the concept of lattice implication algebras, and discussed some of their properties. Xu and Qin [8] introduced the notion of implicative filters in a lattice implication algebra, and investigated some of their properties. Turunen [5] introduced the notion of Boole...