Journal of Hyperstructures
Volume:10 Issue: 1, Winter and Spring 2021

In this paper we introduced the notion of an edge product hypergraph. A hypergraph H is said to be an edge product hypergraph if edges of hypergraph can be labeled with distinct positive integers such that the product of all the labels of edges incident to a vertex is again an edge label of H and if the product of any collection of edges is a label of an edge in H then, they are incident to a vertex. Here we have proved some important results by which one can verify that given hypergraph is a unit edge product hypergraph or not. We also found some results on domination number and inverse domination number of edge product hypergraph and its complement.

In this paper the authers study the concepts of I-Vague sub near-rings and I-Vague ideals in near-rings. Some properties are illustrated corresponding to I-Vague sub near-rings and I-Vague ideals in near-rings with an example.

In this article, we introduce the notions of radical of hyperideals and primary hyperideals of a ternary hypersemiring. We obtain some important properties of radical of hyperideals and primary hyperideals on a particular class of hyperideals, called Cternary hyperideals in ternary hypersemirings. We also generalize the concept of prime and primary avoidance theorem in ternary hypersemirings for C-ternary hyperideals.

The concern of this paper is to show that there always exist Krasner hyperfields of order n, where n is an integer greater than or equal to 2.

In this paper, we introduce the notion of fuzzy soft biinterior ideals over Γ−semirings and study some of their algebraical properties.bi-interior ideal.

The aim of this paper is to introduce and study the concept of generalized fuzzy cone metric space and to obtain the topology by using G-fuzzy cone metric. Moreover, the existence of common fixed point theorem for contractive map and occasionally weakly compatible map and is investigated in generalized fuzzy cone metric space.

Uncertain process and uncertain integral are important contents of uncertainty theory. In this paper, we study some types of uncertain integral named Liu integral. Here, we obtained the analytical solution of Liu integral by integration methods. As a new work, we simulated the sample paths and distribution of Liu integral. The simulation method run on some new examples and results are shown.