Generalized fuzzy filters of R0-algebras

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...

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...

Some results on fuzzy semi maximal filters in BL-algebras

In this paper, first, the concept of the fuzzy semi maximal filters in BL-algebras has been introduced, then several properties of  fuzzy semi maximal filters have been studied and  its relationship with other fuzzy filters including fuzzy  (positive)implicative  fuzzy filters and fuzzy fantastic  filters are investigated. In the following, using the level subsets  of fuzzy sets in a BL-algebra...

Fuzzy-Fated Filters of R0-Algebras

T-FUZZY CONGRUENCES AND T-FUZZY FILTERS OF A BL-ALGEBRA

In this note, we introduce the concept of a fuzzy filter of a BLalgebra,with respect to a t-norm briefly, T-fuzzy filters, and give some relatedresults. In particular, we prove Representation Theorem in BL-algebras. Thenwe generalize the notion of a fuzzy congruence (in a BL-algebra) was definedby Lianzhen et al. to a new fuzzy congruence, specially with respect to a tnorm.We prove that there i...