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 mobility of entrepreneurs, which is an integral part of human life, can occur in all aspects of occupation and location. finding out the general trends of mobility in entrepreneurship can be used in the effective motivational activities. as sylhet is a remittance and raw materials rich but industrially backward area, the mobility of entrepreneurship in both aspects in this area is to be ana...

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.