Using the notion of bipolar-valued fuzzy sets, the concepts of bipolar fuzzy (weak, s-weak, strong) hyper BCK-ideals are introduced, and their relations are discussed in [3]. Further properties are investigated in this article. We show that if Φ = (H ;μΦ , μ N Φ ) is a bipolar fuzzy (weak, strong) hyper BCK-ideal of a hyper BCK-algebra H, then the set I := {x ∈ H | μΦ(x) = μΦ(0), μΦ (x) = μΦ (0...

A graph G= (V, E) is called a hyper-ring with N nodes (N-HR for short) if V = {0, ..., N-1} and E = {(u,v)| v-u modulo N is a power of 2}. In other words, a hyper-ring with N nodes is a graph in which all of the edges connect nodes that are at distances of powers of 2 from each other. Hyper-rings are a multi-machine organization that is, in a sense, a generalization of the standard hyper-cube a...

The difference between serum and plasma potassium concentrations is well known, but we believe the clinical significance of the intra-and interindividual variability of the difference is not fully appreciated. This variability differs between types of blood collection tubes, possibly because of the extent of clot retraction induced by the surface of the tube or the clotting accelerator. Even fo...

The aim of this paper is to define hyper-Leonardo hybrinomials as a generalization the Leonardo Pisano and examine some their properties such recurrence relation, summation formula generating function. Another introduce hyper hybrid-Leonardo numbers.