Directed Graphs representing isomorphism classes of C-Hypergroupoids

We investigate the relation of directed graphs and hyperstructures by virtue of the graph hyperoperation. A new class of graphs arises in this way representing isomorphism classes of C-hypergroupoids and we present the 17 such graphs that correspond to the 73 C-hypergroupoids associated with binary relations on three element sets. As it is shown they constitute an upper semilattice with respect tograph inclusion

EL-hyperstructures: an overview

This paper gives a current overview of theoretical background of a special class of hyperstructures constructed from quasi / partially or dered (semi) groups using a construction known as the "Ends lemma". The paper is a collection of both older and new results presented at AHA 2011

Series of Semihypergroups of Time-Varying Articial Neurons and Related Hyperstructures

Detailed analysis of the function of multilayer perceptron (MLP) and its neurons together with the use of time-varying neurons allowed the authors to find an analogy with the use of structures of linear differential operators. This procedure allowed the construction of a group and a hypergroup of articial neurons. In this article, focusing on semihyperstructures and using the above described procedure, the authors bring new insights into structures and hyperstructures of articial neurons and their possible symmetric relations