We describe weak BCC-algebras (called also BZ-algebras) in which the
condition (xy)z = (xz)y is satised only in the case when elements x, y belong to
the same branch. We also characterize quasi-commutative weak BCC-algebras various
types
In this paper we introduce the notion of n-fold BCI-positive implicative ideals in
BCI-algebras and study some properties. We also establish the extension properties
of n-fold BCI-positive implicative ideals. We use the notion of n-fold BCI-positive
implicative ideals to completely describe n-fold BCI-algebras. This work generalizes
the corresponding results in BCK/BCI-algebras.
Based on ideas of Lawson-Lim [4] and Jung-Lee-Yamazaki [2], an abstract
mean on a metric space was introduced in [5]. In this paper, we discuss a typical
example of such a mean on the nonnegative integers and estimate it by the usual
mean.
This paper focuses on a new kind of fuzzy hyperlter of a hyperlattice
called (∈;∈ ⊔q)−fuzzy hyperlter. These fuzzy hyperlters are character-
ized by their level hyperlters. Also the concept and properties of a fuzzy
hyperlter with thresholds are discussed.