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

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...

Fuzzy-Fated Filters of R0-Algebras

Soft Lattice Implication Algebras Based on Fuzzy Sets

In this paper, we deal with soft lattice implication algebras based on fuzzy sets. Using the concepts of fuzzy (implicative) filters, (∈,∈∨q)fuzzy (implicative) filters and (∈,∈∨q)-fuzzy (implicative) filters, some characterizations for ∈-soft sets and q-soft sets to be (implicative) filteristic soft lattice implication algebras are established.

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...

Characterizations of Some Fuzzy Prefilters (Filters) in EQ-Algebras

We introduce and study some types of fuzzy prefilters (filters) in EQ-algebras. First, we present several characterizations of fuzzy positive implicative prefilters (filters), fuzzy implicative prefilters (filters), and fuzzy fantastic prefilters (filters). Next, using their characterizations, we mainly consider the relationships among these special fuzzy filters. Particularly, we find some con...