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

Abstract

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 artificial neurons. In this article, focusing on semihyperstructures and using the above described procedure, the authors bring new insights into structures and hyperstructures of artificial neurons and their possible symmetric relations.

Keywords

• time-varying artificial neuron
• ordered group
• transposition hypergroup
• linear differential operator